C). The highest amount their liability coverage will provide is $400,000
This is because most standard liability policies will provide up to $300,000 for bodily injury and $100,000 for property damage, but the policyholder may be able to purchase additional coverage for higher limits if they need it. The exact amount of coverage will depend on the policy the policyholder purchased.
Liability insurance is a component of the general insurance system of risk financing that protects the purchaser from the risks of liabilities imposed by lawsuits and similar claims, as well as the insured if the purchaser is sued for claims covered by the insurance policy.
For more questions like Liability coverage click the link below:
https://brainly.com/question/27020987
#SPJ4
Joanne is campaigning for class president and plans to distribute some campaign materials. 20 flyers and 16 buttons. She wants each classroom to receive an identical set of campaign materials without having any materials left over. What is the greatest number of classrooms Joanne can distribute materials to?
The greatest number of classrooms is 4, Joanne can distribute materials
5 flyers and 4 buttons.
What is the greatest common factor?The greatest number that can divide the numbers in equal parts.
It is called as greatest common factor or GCF.
Given:
Joanne is campaigning for class president and plans to distribute some campaign materials.
20 flyers and 16 buttons.
She wants each classroom to receive an identical set of campaign materials, without having any materials left over.
In order to find the greatest number of classrooms, Joanne can distribute materials:
We have,
the number of flyers = 20.
Number of buttons = 16
We need to find the GCF.
GCF of 16 - 1,2,4,8,16
GCF of 20-1,2,4,5,10,20
Clearly, 4 is the GCF.
Therefore, total number of classrooms = 4
Number of flyers distributed to each classroom
= Total number of flyers / Total number of classroom
= 20/4
= 5
Number of buttons distributed to each classroom
= Total number of buttons/ Total number of classrooms
= 16/4
= 4
Therefore, the Joanne can distribute 5 flyers and 4 buttons to each classroom.
To learn more about the greatest common factor;
https://brainly.com/question/11221202
#SPJ1
x+2y=3x+4 into y=mx+b form
x + 2y = 3x + 4
2y = 3x + 4 - x
y = (2x + 4)/2
y = x + 2
Answer: y=x+2
Step-by-step explanation:
you subtract x on the left on both sides then you'll have 2y=2x+4 we have to get y by itself so divide it by 2 on both side and when you do that on the right you divide both 2x and 4 by 2 thus giving y=x+2
F(x)=\begin{cases}-2 & \text{ for }\hspace{10px} -6< x <-1\phantom{\frac{1}{1}} \\ -x-3 & \text{ for }\hspace{10px} -1< x <5\phantom{\frac{1}{1}}\end{cases} f(x)={ −2 −x−3 for −6
f(7) = 14 is calculated. Each function is given a domain and a codomain, or scope.
what is function ?The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
We note that x=7 is on 1<x< 9 so we use the second piece. Replace x with 7 and
evaluate to find f(7):
f(7)=2(7)
f(7)=14
so f( 7 ) = 14
f(7) = 14 is calculated. Each function is given a domain and a codomain, or scope.
To know more about function visit :-
https://brainly.com/question/28193995
#SPJ1
Andrew buy 8 pound of apple for $12. 0. He want to know and ue the unit rate of the cot per pound. True or Fale: Two pound of apple cot more than $3. 50
It is false that the cost of two pounds of apple cast is more than $ 3.50.
Finding the cost of a given quantity:Here to find the cost of the given quantity we need to find the cost of 1 unit i.e 1 pound in the given problem so that we can find the cost of given quantities. It is called a unitary method.
Given that
Andrew buy 8 pounds of apples for $ 12.00
Let 'x' be the cost of 1 pound of apples
By the given data,
=> 8x = $ 12
=> x = 12/8
=> x = 1.5
The cost of 1 pound of apples = $ 1.5
Cost of 2 pounds apples = 2 × 1.5 = 3
Therefore,
It is false that the cost of two pounds of apple cast is more than $ 3.50.
Learn more about Finding cost problems at
https://brainly.com/question/29384637
#SPJ4
What does 4 mean in maths?
The meaning of the 4! ( factorial ) in mathematics is equal to ( 4 × 3 × 2 × 1 ).
As given in the question,
Given expression in mathematics is written as :
4! ( factorial )
In standard form meaning of the n! ( factorial ) is given by multiplication of all the terms in decreasing order till 1.
It is expressed as:
n! = n × ( n - 1 ) × ( n - 2 ) × ( n - 3 ) × ........× 3 × 2 × (n - (n - 1) ).
Apply this formula for 4! ( factorial ) we get,
4! ( factorial )
= 4 × ( 4 - 1 ) × ( 4 - 2 ) ×( 4 - 3)
= 4 × 3 × 2 × 1
= 12
Therefore, the meaning of 4! ( factorial ) in mathematics is given by
4 × 3 × 2 × 1 .
The above question is incomplete , the complete question is :
What does 4! ( factorial ) mean in mathematics?
learn more about factorial here
brainly.com/question/16003649
#SPJ4
A)
Find the product of
f(x)=x²-x-4 and g(x)=x+4
With process
f(x)=[tex]x^{2}[/tex]-x-4 + g(x)=x+4 = the product is with process [tex]x^2+7 x+8$$[/tex] . It is the solution of f(x) and g (x) .
What do you meant by product ?[tex]$$f(x)=x^2-x-4, g(x)=x+4: x^2+7 x+8$$$$\begin{aligned}& \text { Find } f \circ g \text { given } f(x)=x^2-x-4, g(x)=x+4 \\& f \circ g=f(g(x)) \\& g(x)=x+4 \\& =f(x+4)\end{aligned}$$$$\begin{aligned}& f(x+4): \quad x^2+7 x+8 \\& =x^2+7 x+8\end{aligned}$$[/tex]
When a number is multiplied by another number, its products can be found. Because 9 x 3 Equals 27, for instance, 27 is a product of 9 and 3. What you get when you multiply two numbers together is their product. As a result, the product of three and four is twelve, followed by five and four, and so on.
A number that is obtained by multiplying two or more other numbers together is referred to in mathematics as a product. For instance, the result of multiplying 2 by 5 is 10 when the two numbers are combined. Byproducts include things like straw from grain harvesting operations, salt from desalination plants, sawdust from sawmills, and manure from feedlot operations.
To learn more about Product refer to :
https://brainly.com/question/13198444
#SPJ1
You have to pay 25% income tax on all of the money you make. If you made $3000 this month, how much did you have to pay in taxes this month?
Please answer ASAP! :{
You get 20 points! :)
Answer: 750
Step-by-step explanation:
3000/4= 750
750
please please help soon
solve for x (in an integer or two integers or simplest radical form):
-42=8-2x^3
The value of x in its simplest radical form is (25)^1/3
What are integers or radicals?When a given number is in the form of a whole number, it is said to be an integer. Thus it can not be in the form of a fraction or does not have a decimal part. Examples include: 20, 345, 10, etc.
Radical form is a type of number which is expressed with a square root. This it could give a whole number or a number with a decimal part as the final answer.
To solve for x in either as an integer or in its simplest radical form;
-42 = 8 - 2x^3
-42 - 8 = -2x^3
- 50 = -2x^3
divide through by -2 to have;
x^3 = 25
find the cube root of both sides,
x = 25^1/3
Therefore in it simplest radical form, the value of x is 25^1/3
Learn more about radical form of numbers at https://brainly.com/question/29538426
#SPJ1
help i cant solve it
Answer:
Step-by-step explanation:
We have,
x = 3y - 3 ---> x - 3y = -3 ------(1)
5x + 4y = 23 -----(2)
Multiplying eq. (1) by 5:
5x - 15y = -15 ------(3)
5x + 4y = 23
Subtracting (1) from (3):
-19y = - 38
y = 2
therefore, x - 6 = -3
x = 3
Forty-five students and parents attended a career fair on Tuesday. The number of students that attended was 5 more than twice the number
of parents in attendance. Write a system of equation to model the situation.
Answer:
p + s = 45
s = 2p + 5
Step-by-step explanation:
Let s = number of students.
Let p = number of parents.
p + s = 45
s = 2p + 5
Triangle ABC is shown below
Answer:180 degrees
Step-by-step explanation: add the angles
25 less than the sum of a number and 5 results in 15 what is the number
The number is 35.
What is an equation?
An equation is a statement of equality between two expressions. It uses the equal sign (=) to show that the expressions on either side of the sign have the same value.
For example 2x+3=5y-7z, and x+y=5 are examples of equations.
In solving your problem,
25 less than the sum of a number and 5 results in 15, can be written as an equation like this:
let x be the number we want to find.
x + 5 =15+25 (25 less than the sum of x+5)
x + 5 = 40
then
x=40-5
x=35
So the number is 35.
To learn more about the equation, visit:
https://brainly.com/question/22688504
#SPJ1
A principal of $$4800wa inveted at 6. 25% interet, compounded annually. Let t be the number of year ince the tart of the invetment. Let y be the value of the invetment, in dollar. Write an exponential function howing the relationhip between y and t
The exponential function showing the relationship between y and t is y = 4800e^(0.0625t).
What is exponential function?An exponential function is a function of the form f(x) = bx, where b is a positive real number and x is a real number. This type of function is commonly used to model the rate of growth or decay of a quantity over time. Exponential functions have the property that their derivatives (slope) are proportional to the value of the function itself. This property makes them useful for modeling phenomena with compound growth or decay, such as populations, interest rates, and radioactive decay.
In this equation, 4800 is the original principal, 0.0625 is the interest rate (6.25%) and t is the number of years since the start of the investment. This equation can be used to calculate the value of the investment after any number of years. For example, if t = 5, then y would equal 6,842.50. This means that after 5 years, the value of the investment would be 6,842.50.
To know more about exponential function click-
https://brainly.com/question/2456547
#SPJ4
surface area of this triangle
On solving the provided question we can say that - area of the given triangle will be A = 60 cm sq.
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
here,
B = 8cm
H = 15 cm
A = 1/2 BH = 1/2 X 8 X 15 = 60cm sq.
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
The sum of four consecutive multiples of 7 is 406.
Work out the values of these four numbers.
Examples of four consecutive multiples of 7 are: 7, 14, 21, 28
The value of all four numbers will be 91, 98, 105, 112 respectively.
Let the first multiple be 7x
As the multiple of any number can be determined by simply multiplying the given number by the natural number or the counting numbers.
So, the value of the second multiple of 7 will be 7(x+1)
The value of third multiple of 7 will be = 7(x+2)
The value of fourth multiple of 7 will be = 7(x+3)
As all the multiple are consecutive so we have taken the multiplying factor as x, (x+1), (x+2) and (x+3)
From the data given in the question:
Sum = 7x+7x+7+7x+14+7x+21 = 406
=>28x+42=406
=>28x=364
=>x=(364/28)=13
So, the value of first multiple = 7x = (7*13) =91
So, the value of the second multiple of 7 will be 7(13+1)=98
The value of third multiple of 7 will be = 7(x+2)=7(13+2)=105
The value of fourth multiple of 7 will be = 7(x+3)=7(13+3)=112
For such more questions on Consecutive numbers
https://brainly.com/question/26024768
#SPJ4
The mighty oak tree outside of Matt's house had to be cut down. He missed the beautiful tree and the shade it provided and wanted to replace it with an oak tree that would grow quickly. The Nuttall Oak (Quercus nuttalli), the fastest-growing oak tree, grows 7 to 8feet per year (we'll assume it grows at a constant rate). At maturity, it can be up to 50 feet tall.
Which of the following equations, where t represents time in years and h represents the height in feet, describe growth that is slower than the Nuttall Oak growth rate?
CHOICES:
A: h=5t
B: h=8.5t
C: h=10t
D: h=50t
Growth that is slower than the Nuttall Oak growth rate is h=5t.
What is equation?An equation is a mathematical statement that expresses two values as being equal. It is the basic building block of algebra and can be used to solve for unknown values, or to show the relationships between two or more values. Equations use mathematical operators such as addition, subtraction, multiplication, and division, as well as symbols and numbers, to express relationships between values. An equation can be written in the form of an expression, a system of equations, or a single equation. In all cases, an equation requires both sides of the equation to be equal in order to be valid and have a solution.
This equation describes growth that is slower than the Nuttall Oak growth rate because it has a lower rate of growth of 5 feet per year. The Nuttall Oak grows 7 to 8 feet per year, so any equation with a growth rate lower than that would be slower. Choices B, C, and D have higher growth rates than the Nuttall Oak, so they would not be slower than the Nuttall Oak growth rate.
To know more about Equation click-
https://brainly.com/question/2972832
#SPJ4
Solve for x and express the zeros in a + bi form x^2=6x-10
Solution of the equation is x = 3 ± i that is a complex number where 3 is the real part and i is the imaginary part.
What is quadratic equation?The equation of two-degree polynomial having one variable is called quadratic equation.
The solution of a quadratic equation is either real or complex. We use quadratic equation formula for solution whenever we cannot expand, and factoring a given two-degree polynomial equation.
How to solve the given equation?given equation, x² = 6x -10
x²-6x +10 =0
This equation cannot be expanded so we need to write the formula for quadratic equation to solve it.
we know that standard form of a quadratic equation is given by
ax² + bx +c = 0
where a is the coefficient of x², b is the coefficient of x and c is the constant.
the solution of the equation is given by x = -b ± √ (b² - 4ac) / 2a
Now, the solution for the above equation is x = 6 ± √ (6² - 4×1×10) / 2×1
x = 6 ± √ (36 -40) / 2
x = 6 ± √-4 / 2
as √-4 = √-1 ×2
x = 6 ± 2 √-1 /2
divide both numerator and denominator by 2
x = 3± i as √-1 = i
this is the solution in (a + bi) form a = 3 and b = 1
To learn more about quadratic equation visit:
https://brainly.com/question/29011747
#SPJ1
What are the properties of addition and subtraction?
Answer:
Step-by-step explanation:
In addition and subtraction, the identity is 0. In multiplication and division, the identity is 1. That means that if 0 is added to or subtracted from n, then n remains the same. Also, if n is multiplied or divided by 1, then n remains the same
ORRRRRRRRR
Five Properties of Addition
Closure property of Addition.
Commutative property of Addition.
Associative property of Addition.
Additive identity property of Addition.
Additive inverse property of Addition.
Write the ratio. Explain what the ratio means.
butterflies : caterpillars
For every _
butterfly/butterflies, there is/are _
caterpillar(s).
The ratio is 1:4, which means for every 1 butterfly, there are 4 caterpillars.
This ratio represents the relationship between the number of butterflies and the number of caterpillars. In this case, the ratio is saying that for every 1 butterfly, there are 4 caterpillars. This could mean that for every butterfly that is observed, there are 4 caterpillars that are also present or for every butterfly that is caught, there are 4 caterpillars that are also caught.
This ratio may also indicate that for every butterfly that is born, 4 caterpillars are also born. It could also indicate the population ratio of butterflies to caterpillars in a specific habitat.
Learn more about Ratios here:
https://brainly.com/question/2328454
#SPJ4
The following is a stem-and-leaf display representing the amount of gasoline purchased, in gallons (with leaves in tenths of gallons), for a sample of 25 cars that use a particular service station on the New Jersey Turnpike: 9 147 10 02238 11 125566777 12 223489 13 02 (a) Construct an ordered array. (b) Which of these two displays seems to provide more information? Discuss
The ordered array will be 9.1 9.4 9.7 10.0 10.2 10.2 10.3 10.8 11.1 11.2 11.5 11.5 11.6 11.6 11.7 11.7 12.2 12.2 12.3 12.4 12.8 12.9 13.0 13.2
What is leaf plot?
A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.
In this instance, the number on the left of the division stands in for the number in the tens place. The value or values on the right side are the ones that fall between the tens and ones places. The number "9.1" is the equivalent of the word "911," for instance. When a number appears more than once on the right side of a division, that number appears more than once in the tens place. In this case, the three numbers 9.1, 9.4, and 9.7 are represented by the string "9 | 147".
Hence, There is an ordered array when reading the stem and leaf plot from top to bottom:
9.1 9.4 9.7 10.0 10.2 10.2 10.3 10.8 11.1 11.2 11.5 11.5 11.6 11.6 11.7 11.7 12.2 12.2 12.3 12.4 12.8 12.9 13.0 13.2
Learn more about leaf plot, by the following link
https://brainly.com/question/8649311
#SPJ4
Vivian and her dad drive 4 hours to the rock and roll hall of fame in Cleveland, Ohio. if they drive at the same rate how far do they travel.
Vivian and her dad travelled for a total distance of 12 miles
How to determine how far they travelFrom the question, we have the following parameters that can be used in our computation:
Time taken = 4 hours
Rate of travel = 3 miles per hour
The distance travelled can be calculated using the following equation
Distance = Rate of travel * Time taken
Substitute the known values in the above equation, so, we have the following representation
Distance = 3 miles per hour * 4 hours
Evaluate the product
So, we have the following representation
Distance = 12 miles
Hence, the distance is 12 miles
Read more about speed at
https://brainly.com/question/14335655
#SPJ1
Complete question
Vivian and her dad drive 4 hours to the rock and roll hall of fame in Cleveland, Ohio. if they drive at the same rate how far do they travel if the rate is 3 miles per hour
The ratio of the number of report cards Ms. Wickham folded to the number that Ms. Cho folded was 2:3. At the end of the day, Ms. Leiva and Mr. Gamory folded 300 report cards. Who folded more report cards and by how many
Ms. Wickham folded 200 report cards and Ms. Cho folded 300 report cards, giving Ms. Cho an average of 100 report cards.
Ms. Wickham and Ms. Cho together folded 500 report cards.
Ms. Wickham folded 200 report cards
(200/500 = 2/5)
Ms. Cho folded 300 report cards
(300/500 = 3/5)
Mr. Leiva and Mr. Gamory folded 300 report cards.
Ms. Cho folded more report cards than Ms. Wickham, by
100 (300 - 200 = 100).
Ms. Wickham and Ms. Cho together folded 500 report cards, with the ratio of Ms. Wickham's report cards to Ms. Cho's being 2:3. Ms. Wickham folded 200 report cards, while Ms. Cho folded 300. At the end of the day, Mr. Leiva and Mr. Gamory folded an average 300 report cards. This meant that Ms. Cho folded more report cards than Ms. Wickham, by 100. Therefore, Ms. Cho folded 400 report cards in total, while Ms. Wickham only folded 300.
Learn more about average here
https://brainly.com/question/24057012
#SPJ4
please help im lost ;math 10th grade
The outer perimeter of the figure will be 62.3 ft.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The figure is shown in figure.
Now, The total outer perimeter is,
⇒ Outer perimeter of triangle = 12.2 ft + 6 ft
= 18.6 ft
And, Outer perimeter of rectangle = 14 ft + 14 ft
= 28 ft
And, Outer perimeter of semicircle = πr
= 3.14 × 10 / 2
= 3.14 × 5 ft
= 15.70 ft
Thus, The total outer perimeter is = 18.6 ft + 28 ft + 15.70 ft
= 62.3 ft
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ1
would anyone know the answer to this?
Answer: The mystery number is 5.5
5.5 converts to the fraction 11/2.
=================================================
Explanation:
The phrasing "subtract 10 from the number, then square the result" leads to the expression [tex](\text{x}-10)^2[/tex]
The phrasing "Square the number, then subtract 10 from the result" means we have [tex]\text{x}^2-10[/tex]
Set those expressions equal to one another so we can solve for x like shown in the steps below.
[tex](\text{x}-10)^2 = \text{x}^2-10\\\\\text{x}^2-20\text{x}+100 = \text{x}^2-10\\\\-20\text{x}+100 = -10\\\\-20\text{x} = -10-100\\\\\text{x} = -110/(-20)\\\\\text{x}=11/2\\\\\text{x} = 5.5[/tex]
The x^2 terms cancel out in the third step (since we subtract x^2 from both sides).
--------------
Check:
[tex](\text{x}-10)^2 = \text{x}^2-10\\\\(5.5-10)^2 = (5.5)^2-10\\\\(-4.5)^2 = (5.5)^2-10\\\\20.25 = 30.25-10\\\\20.25 = 20.25[/tex]
The answer is confirmed.
Given the polynomial function y = 5x^2 + 3x^6 - 10x-8, what is the constant
term?
A.5
B.3
C.-10
D.-8
Answer:
Step-by-step explanation:
Given: Polynomial y = 5x²+3x⁶-10x-8
here, 5 is the coefficient of x², 3 is the coefficient of x⁶, -10 is the coefficient of x and -8 is the constant term.
option (D)
Answer:
down there.
Step-by-step explanation:
Look for a term that has no variables with it. Once you've found it you've found ur constant. The only such term is -8 so the constant is -8 or choice d.
hence choice d
After 2+3/2-x+1/3x have been combined using the least common denominator of 6x, what is the numerator?
On solving the provided question, we can say that In light of this, the lowest common denominator of the equation is (x - 4)(x + 1)(x - 2) (x - 2)
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
equation is given as:
x2 — 3x — 4 = x2 — Ox + 8
x2 — 4x + x — 4 =
x(x — 4) + I(x — 4)
Factor out x - 4
(x + I)(x — 4) = x-2(x-4)
The common factor between the two sides of the equation is x – 4.
In light of this, the lowest common denominator is (x - 4)
(x + 1)(x - 2) (x - 2)
To know more about equation visit:
https://brainly.com/question/649785
#SPJ4
find the area of a rectangular garden with side length of 4x+11 and 2x+5
find the perimeter of the garden in the problem
Answer:
just ask your teacher for clarification, then you will actually learn...
Which of the following statements correctly describes the graph? A. The graph represents a nonlinear function with a constant rate of change. B. The graph represents a nonlinear function with an increasing rate of change. C. The graph represents a linear function with a constant rate of change.
The statement that correctly describes the graph is given as follows:
C. The graph represents a linear function with a constant rate of change.
How to classify the functions as linear or non-linear?A function is classified as linear or non-linear depending on the rate of change of the function.
If the rate of change of the function is constant, that is, when x changes by one amount, y always changes by the same amount, then the function is classified as linear.
Conversely, if the rate of change of the function is different for different intervals, then the function is classified as non-linear.
As the graph presented at the end of the answer shows a linear function with constant slope, it has a constant rate of change, thus it is linear and option c is correct.
Missing InformationThe graph is given by the image presented at the end of the answer.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
How to solve 40 50 90 triangles
The 40 50 90 triangle can be solved using Pythagoras theorem.
What is the 40 50 90 triangle?A triangle in which both legs are congruent, and the length of the hypotenuse is the length of a leg times the square root of 2.
Given:
We have 40 50 90 triangles.
A triangle with two equal legs whose hypotenuse measures one leg's length multiplied by the square root of two.
Because the length of the hypotenuse in the triangle above equals the length of one of its legs times sqrt(2), which is 3, the triangle is a 40-50-90 triangle.
So, Such type of Triangles can be solved using Pythagoras theorem.
Learn more about 40 50 90 triangle here:
https://brainly.com/question/29005645
#SPJ1
A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 41 miles north of the transmitter to a second city 42 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter
On solving the provided question, we can say that the slope's the intersection points are: (20.698, 42.197) and (43.998,16.527), the transmitter is within range between those to points along the line.
what is slope?A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
city - north at (0,65)
city-east at (59,0)
Slope is m=(-65/59)
[tex]B= y - mx = 65 - (-65/59)(0) = 65[/tex]
The equation of the line between the cities is y = (-65/59)x + 65
[tex]x^2 + ( (-65/50)x + 65) )^2 = 47^2[/tex]
the intersection points are:
(20.698, 42.197) and (43.998,16.527)
The transmitter is within range between those to points along the line.
To know more about slope visit:
https://brainly.com/question/3605446
#SPJ4