Answers
Answer:
x=16.5(or 17)
Step-by-step explanation:
2(x)+2(x-4)=58
2x+2x-8=58
4x-8=58
4x=66
x=16.5(if rounded to the nearest whole number will be 17)
ur welcome :)
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Step-by-Step Explanation:
Length (l) = (x) cm
Breadth (b) = (x - 4) cm
Perimeter = 2(l + b) = 58 cm
Substituting values of ‘l’ and ‘b’ :-
=> 2(l + b) = 58
= 2(x + x - 4) = 58
= 2(2x - 4) = 58
= 4x - 8 = 58
= 4x = 58 + 8 = 66
=> x = 66/4 = 16.5
Therefore, x = 16.5
Finding ‘l’ and ‘b’ :-
l = x
=> l = 16.5 cm
b = x - 4
b = 16.5 - 4
=> b = 12.5 cm
Length (l) = 16.5 cm
Breadth (b) = 12.5 cm
Related Questions
The graph of f(x) = StartRoot x EndRoot is reflected across the x-axis and then across the y-axis to create the graph of function g(x). Which statements about the functions f(x) and g(x) are true? Check all that apply.
The functions have the same range.
The functions have the same domains.
The only value that is in the domains of both functions is 0.
There are no values that are in the ranges of both functions.
The domain of g(x) is all values greater than or equal to 0.
The range of g(x) is all values less than or equal to 0.
Answers
The only value that is in the domains of both functions is 0. The range of g(x) is all values less than or equal to 0. Then the correct options are C and F.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph of f(x) = √x is reflected across the x-axis and then across the y-axis to create the graph of function g(x).
Then the function g(x) will be
g(x) = -√(-x)
The domain of the f(x) and g(x) will be [0, ∞) and (-∞, 0] respectively.
The range of g(x) will be (-∞, 0].
The only value that is in the domains of both functions is 0.
The range of g(x) is all values less than or equal to 0.
Then the correct options are C and F.
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Answer:
C AND F
Step-by-step explanation:
Edge 2023
anything that applies. sec0 is undefined for 0 =
Answers
If the sec θ is not defined, then the value of angle θ will be (2n + 1)π/2.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The trigonometric expression is given below.
⇒ sec θ
If the sec θ is not defined, then the value of angle θ will be (2n + 1)π/2.
Where n is the any integer.
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If 2a/4=b/4 and b≠0, what does 5b equal in terms of a?
A) 2a/15
B) 5a/6
C) 15/2a
D) 40a/3
Answers
Step-by-step explanation:
you must have made a typo here.
none of the answer options are correct for the given problem.
let me just show you what you told me, and how I can solve at least this :
2a/4 = b/4
this simply means (multiply both sides by 4) :
2a = b
so, 5b is then (multiplying both sides by 5) :
5×2a = 5b
10a = 5b
but again, "10a" is not among the offered answers.
so, I don't know if you made a mistake with the basic problem or with the answer options.
Do the ordered pairs in the table represent a linear function?
Answers
Answer:
No.
Step-by-step explanation:
If you look at the y values, they do not have a constant rate of change. The numbers in the row for y: 3+1 is 4. 4+1 is 5. 5+7 is 12 .12+19 is 31. 31+ 37 is 68. So, as you can see, the rates at which each number changes are not constant. Therefore, the table does not represent a linear function.
Can someone pls help?
Answers
Answer:
D
Step-by-step explanation:
If you think of the x-axis as your horizontal line, you can see that there is more than one value for x for y=0.
For instance, (-2,0), (0,0), (0,2).
Determine the scale of a map if the distance between 2 towns is 20km and the map distance is 5cm
Answers
The required ratio or scale will be 5cm o the map represent 20km on land
Ratio and scalingScaling is a way of enlarging or reducing the figure on an xy-plane. Given the conversion rate;
Given the following
distance between 2 towns is 20km
The distance on map is 5cm. The required ratio or scale will be 5cm o the map represent 20km on land
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ray and line segment difference
Answers
Answer:
A line segment is part of a line that has two endpoints and is finite in length. A ray is a line segment that extends indefinitely in one direction.
Step-by-step explanation:
hope it helps you and give me a brainliest
Answer:
A ray goes in one direction for forever, and also has an arrow.
A line segment is a segment, meaning that it has two end points and doesn't go on forever, it ends.
Step-by-step explanation:
Question 3 of 10
If P(x,y) is the point on the unit circle determined by real number ø, then tang
Answers
The tangent on the unit circle is y/x
How to determine the tangent value?The point on the unit circle is given as:
Point = (x,y)
By default
(cos(ø), sin(ø)) = (x,y)
This means that:
cos(ø) = x
sin(ø) = y
The tangent of an angle is:
tan(ø) = sin(ø)/cos(ø)
So, we have:
tan(ø) =y/x
Hence, the tangent on the unit circle is y/x
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help pls :) have a great day everyone plshelp me
Answers
The first step to solving almost any problem is to understand what the question is asking and what is given to us in order for us to solve for the question. In this problem, we are given a graph and asked two questions. One being what the coordinates of the vertex are and whether this parabola has a maximum or a minimum.
Let's define what a vertex, maximum, and minimums are.
Vertex ⇒ Vertex is the point at which it either reaches the maximum or minimum. This point can be easily defined as where the slope becomes flat.Maximum ⇒ Maximum occurs when the vertex is at the top and the lines go down in a negative-y-direction. Therefore with the vertex being at the top that would be considered a maximum as it's the largest point in the graph.Minimum ⇒ Minimum occurs when the vertex is at the bottom and the lines go up in a positive-y-direction. Therefore with the vertex being at the bottom that would be considered a minimum as it's the smallest point in the graph.Now, looking at our problem we can see that our vertex is at the bottom therefore it would classify as a minimum. Now that we know we have a minimum vertex, let us determine what the actual coordinates of the vertex are.
We can see that we travel -3 in the x direction and -5 in the y direction which means that the coordinate for our vertex is (-3, -5) where the first number represents the x-value and the second number represents the y-value.
Answer:
(-3, -5)
Step-by-step explanation:
Here the vertex is also the minimum value; its x-coordinate is -3 and its y-coordinate is -5. Thus, the vertex is at (-3, -5). As stated above, this is the minimum value of the function.
Hi please help!!
Given the following function:
f(x)=2x^2
fill the table with coordinates that work for this function.
x y
(5 empty columns going down)
Answers
The table of values of the function y = 2x^2 is:
x 0 1 2 3 4
y 0 2 8 18 32
How to complete the table?The equation of the function is given as:
y = 2x^2
When x= 0, we have
y = 2 * 0^2 = 0
When x= 1, we have
y = 2 * 1^2 = 2
When x= 2, we have
y = 2 * 2^2 = 8
When x= 3, we have
y = 2 * 3^2 = 18
When x= 4, we have
y = 2 * 4^2 = 32
So, the table of values is:
x 0 1 2 3 4
y 0 2 8 18 32
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Do you know the answer to this
Answers
Answer:
[tex] 4x^2y\sqrt[4]{3y} [/tex]
Step-by-step explanation:
[tex] \sqrt[4]{768x^8y^5} = [/tex]
[tex] = \sqrt[4]{256 \times 3(x^2)^4y^4y} [/tex]
[tex] = \sqrt[4]{4^4 \times 3(x^2)^4y^4y} [/tex]
[tex] = 4x^2y\sqrt[4]{3y} [/tex]
Mike knows that (3,6.5) and (4,17.55) are points on the graph of an exponential function, g(x), and
he wants to find another point on the graph of this function.
First, he subtracts 6.5 from 17.55 to get 11.05.
Next, he adds 11.05 and 17.55 to get 28.6.
He states that (5,28.6) is a point on g(x).
Is he correct? Explain your reasoning.
Answers
Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect
How to determine if he is correct?The points are given as:
(3,6.5) and (4,17.55)
Calculate the rate of change using:
r = y4/y3
This means that:
r = 17.55/6.5
r = 2.7
So, the next point on the graph is:
Next point = 2.7 * y4
Substitute 17.55 for y4
Next point = 2.7 * 17.55
Evaluate
Next point = 47.39
This means that the next point on the graph is (5,47.99)
Hence, Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect
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what is true about this linear inequality
y>3/4-2
Answers
Inequalities help us to compare two unequal expressions. The statements that are correct are B, D, and E.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The complete question is:
Which statements are true about the linear inequality y >3/4 x – 2? Check all that apply.
-The slope of the line is –2.
-The graph of y >3/4 x – 2 is a dashed line.
-The area below the line is shaded.
-One solution to the inequality is (0, 0).
-The graph intercepts the y-axis at (0, –2)
-The slope of the line is 3/4. Thus, the first statement is false.
-The graph of y >3/4 x – 2 is a dashed line. The given statement is true.
-The area below the line is shaded. The statement is false.
-One solution to the inequality is (0, 0). The given statement is true.
-The graph intercepts the y-axis at (0, –2) The statement is true.
Hence, the statements that are correct are B, D, and E.
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Evaluate 4x² + 3x for x=6
Answers
Answer:
162
Step-by-step explanation:
Given algebraic expression:
4x² + 3xTo:
Evaluate this expression,with : x = 6Solution:
4x²+3xSimplify by plugging x = 6
4(6)²+3(6)4(36) + 18144 + 18162We can conclude:
By evaluating this expression by x = 6 , the answer will be 162.
The function f(x) is shown in this graph.
--5-
The function g(x) = -6x + 3.
Compare the slopes and y-intercepts.
OA. Both the slopes and the y-intercepts are the same.
OB. The slopes are the same but the y-intercepts are different.
C. Both the slopes and the y-intercepts are different.
OD. The slopes are different but the y-intercepts are the same.
f(x)
(0,3)
Answers
Both the slopes and the y-intercepts are different. Option C is the correct answer.
What is Straight Line?A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.
Here, slope intercept form of given equation:
y = mx + c ............(i)
where, m is slope of line and c is y-intercept.
Given equation of line;
g(x) = y = -6x + 3
On comparing this with equation (i), we get
m = -6 and c = 3
Thus, Both the slopes and the y-intercepts are different. Option C is the correct answer.
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Consider the functions below.
f(x) = x² - 6x - 27
g(x) = x - 9
Answers
Solution: f(x)=x^2-6x-27=(x+3)(x-9)
The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length
of a side of the regular hexagon.
Answers
A triangle is a three-edged polygon with three vertices. The length of a side of the regular hexagon is √24 inches.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.
Given the perimeter of the equilateral triangle is 36 inches, therefore, the length of the side of the equilateral triangle is 12 inches. Now, the area of the equilateral triangle is,
Area of the equilateral triangle = (√3)/4 a²
= (√3)/4 × (12)²
= (36√3) inches²
Since the area of the equilateral triangle is equal to the area of the hexagon , therefore we can write,
Area of equilateral triangle = Area of Hexagon
(36√3) = (3√3)/2× a²
a² = 24
a = √24 inches
Hence, the length of a side of the regular hexagon is √24 inches.
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wright the follwing in decimlal form:3/4
Answers
Answer:
3/4 in decimal form is 0.75.
Step-by-step explanation:
I hope this helps! :)
Answer:
0.75
Step-by-step explanation:
3/4 is expressed as 0.75 in the decimal form.
to make a fraction into a decimal you just divide the numerator by the
denominator.
and the numerator is the part of a fraction that is above the line
denominator is at the bottom
so 3 / 4 = 0.75
3/4 in decimal form is 0.75
Hope This Helped
answer fast pls .....
Answers
2. area of a square is always the side multiplied by each other, so: 9/2 * 9/2 = 81/4 or 20 and 1/4
The bouncy kat toys are manufactured using a layering process. the plastic is
added to the ball one layer at a time, with the radius of each ball increasing at a
rate of 0. 1 inch per second. we have been unable to correctly manage the volume
of plastic flowing into the machine. assuming the machine produces 100 toys at a
time, what is the appropriate flow rate of the plastic (in cubic inches per second)
when the radius of each toy is 0. 5 inch? what should the average flow rate of the
plastic be over each 10-second production cycle?
Answers
The flow rate to produce the balls is 12.5in/s and 1.25in/s
a. The rate flow to produce the ballsThe number of toys = 100
The increase in radius = 1inch/sec
5 toys are going to increase by 0.5 radius
The rate flow to produce the balls
5x100 = 500
Rate flow = 500 x 0.5³ / 5
= 12.5inch/s
b. New productionTime = 10 seconds x 5 = 50 seconds
radius = 0.5 inches
Flow rate = 50 * 0.5³/5*10
= 1.25 inches/s
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which statements are true regarding undefinable terms in geometry?
Answers
Your welcome love xxxp
help i need answers fast now
Answers
0.86 repeating: decimal form
3/5= 9/15
1/3 = 5/15
9/15=9/15
9-5 =4
4+9 = 13
13/15
someone help please
Answers
Answer:
I think 40.
Step-by-step explanation:
Find the perimeter. Area=5.612x10^14
9.2x10^7
Answers
Answer:
1.962×10^8 cm
Step-by-step explanation:
The area and perimeter formulas can be use to find the perimeter of this rectangle, given its area and the length of one side.
A = LW
P = 2(L +W)
__
Solving the area formula for width, we have ...
W = A/L
Using that in the perimeter formula, we find the perimeter to be ...
P = 2(L +W) = 2(L +A/L)
Using the given values for area and length, we find the perimeter is ...
P = 2(9.2×10^7 +5.612×10^14/(9.2×10^7)) = 1.962×10^8 . . . cm
The perimeter of the rectangle is 1.962×10^8 cm, or 1962 km.
_____
Additional comment
The width is 6.1×10^6 cm, or 0.61×10^7 cm. Then the sum of length and width is (9.2 +0.61)×10^7 = 9.81×10^7 cm. The perimeter is twice that, or 19.62×10^7 cm = 1.962×10^8 cm. 1 km = 10^5 cm, so this is 1.962×10^3 km, or 1962 km.
Your scientific calculator or spreadsheet can use and present numbers in scientific notation directly. The "E" notation is used in place of "×10^". (This notation is an artifact of the earliest computer languages.)
(3x-4y)^2-(3x-4y)(3x+4y)
Answers
Answer:
[tex]-24xy + 32y^2[/tex]
Step-by-step explanation:
Hello!
We can use the special binomial product formulas:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex][tex](a + b)(a - b) = a^2 - b^2[/tex]Simplify[tex](3x - 4y)^2 - (3x - 4y)(3x + 4y)[/tex][tex](9x^2-24xy+16y^2) - (9x^2 - 16y^2)[/tex][tex]9x^2 - 9x^2 - 24xy + 16y^2 + 16y^2[/tex][tex]-24xy + 32y^2[/tex]The simplified form is [tex]-24xy + 32y^2[/tex]
The circumference of a circle is 9 pi m. What is the area, in square meters? Express your answer in terms of pi
Answers
Answer:
The circumference of a circle = 2πr = 9π inches
Or, 2πr = 9π
Or, r = 9/2
Or, r = 4.5 inches
The area of a circle = πr²
Or, The area of a circle = π×4.5×4.5
Or, The area of a circle = 20.25π square inches
Step-by-step explanation:
Using the expansion of (1-(x/2))^8 and a suitable value of x, evaluate 0.996^8 to 5 d p
Answers
Answer:
4j8rd⁸8xud4 ex fiiu8rftsuf
Sketch a graph of each of the four angles in the same coordinate plane. Label the ordered pairs that intersect the circle. The angles given are 30°, 150°, 210°, 330°
Answers
When two straight lines or rays intersect at a shared endpoint, an angle is generated.
What is an angle?When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
The angle can be drawn as shown below. The angle 30°, 150°, 210°, and 330° will lie in 1st, 2nd, 3rd, and 4th quadrants respectively.
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3x + 12+ 9x - 72
Solve?
Answers
Answer:
12x - 60
Step-by-step explanation:
[tex]3x+12+9x-72\\=3x+9x+12-72\\=12x+12-72\\=12x-60[/tex]
Which equation is showed in the graph above
Answers
Answer: A
It has a negative gradient.
Hope this helps :))
P.s. Can you mark me as the brainliest? <3
Answer:
Step-by-step explanation:
Remark
You can read the y intercept right off the graph. Follow the y axis upwards until the line intercepts the y axis. I think you will find it is at 0,5
So far what you know is
y = mx + 5
Finding m is a little harder. I would use 6,0 and 0,5 as the two points that will define m.
Givens
x1 = 6
x2 = 0
y1 = 0
y2 = 5
Equation
m = (y2 - y1) / (x2 - x1) Put the givens into this equation.
Solution
m = (5 - 0) / (0 - 6)
m = 5/-6
m = - 5/6
Answer
The line is
y = -5/6 x + 5