Question 2(Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
Determine the length and g the line segment shown
!!!!please help me!!!!
Answers
The measurement of the hypotenuse is obtained as 9 units using the Pythagoras theorem.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
According to the graph -
The perpendicular measures 4 units.
The base measures 3 units.
To find the hypotenuse g apply the Pythagoras theorem -
(hypotenuse)^2=(base)^2+(perpendicular)^2
(g)^2=(3)^2+(4)^2
(g)^2=9+16
(g)^2=25
g=[tex]\sqrt{25}[/tex]
g=5
Therefore, line segment g measures 5 units.
To learn more about Pythagoras Theorem from the given link
brainly.com/question/654982
#SPJ1
Related Questions
Two numbers are such that twice the greater number exceeds thrice the smaller one by 15 and 1/5 of the smaller and 1/9 of the greater number are together 10. Find the numbers.
Answers
Answer: The two numbers are $x = 5$ and $y = 7.5$.
Step-by-step explanation:
Let the two numbers be $x$ and $y$, where $x < y$. We can write the two given statements as the following two equations:
$$2y = 3x + 15$$
$$\frac{1}{5}x + \frac{1}{9}y = 10$$
We can solve this system of equations using elimination. Multiplying the first equation by 5 and the second equation by 9, we get
$$10y = 15x + 75$$
$$9x + y = 90$$
Subtracting these equations, we get
$$8y - 9x = 15$$
Multiplying this equation by 8, we get
$$64y - 72x = 120$$
Adding this equation to 5 times the first equation, we get
$$69y - 72x = 120 + 75$$
$$69y - 72x = 195$$
Dividing both sides by 3, we get
$$23y - 24x = 65$$
Subtracting this equation from 4 times the second equation, we get
$$96y - 36x = 360 - 260$$
$$96y - 36x = 100$$
Dividing both sides by 60, we get
$$\frac{16}{3}y - \frac{6}{5}x = \frac{5}{3}$$
Substituting the expression for $y$ from the first equation, we get
$$\frac{16}{3}(3x + 15) - \frac{6}{5}x = \frac{5}{3}$$
This simplifies to
$$\frac{16}{5}x + \frac{64}{5} = \frac{5}{3}$$
Solving for $x$, we find that $x = 5$. Substituting this value into the first equation, we find that $y = 15/2 = 7.5$. Therefore, the two numbers are $x = 5$ and $y = 7.5$.
HELP PLEASE show work if possible I WILL MARK BRAINLIEST TO BEST ANSWER
Answers
The Value for x and y as follow:
A) x=2 and y=-8
B) x = -2 and y = 5
C) x = -9/4 and y= -5/2
What is Elimination Method?The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.
Given:
A) 9x- 2y = 34...............(1)
5x+ 2y = -6..............(2)
Adding equation (1) and (2) we get
9x -2y = 34
5x + 2y = -6
_____________
14x = 28
x= 28/14
x= 2
and, 5x +2y= -6
5(2) + 2y= -6
2y = -6 -10
y = -8
B) x+ 6y = 28.....................(3)
2x -3y = -19................(4)
Multiply equation (2) by 2 we get
4x - 6y = -38.......................(5)
Adding equation (3) and (5), we get
x + 6y = 28
4x- 6y = -38
___________
5x = -10
x= -2
and, x+ 6y= 28
-2 +6y= 28
6y= 30
y=5
C) 8x -6y = -3................(6)
6x -5y = -1......................(7)
Multiply equation (6) by 5 and equation by (6), we get
40x - 30 y = -15
36 x - 30y = -6
- + +
____________
4x = -9
x= -9/4
and, 8x - 6y = -3
8(-9/4) - 6y = -3
-18 - 6y= -3
-6y = 15
y = -5/2
Learn more about Elimination Method here:
https://brainly.com/question/14619835
#SPJ1
Six families went to the food festival. Each family has 2 adults and 4 children. The entry fee for each child ticket costs $4, and an adult ticket costs $8. What would be the total cost of the festival tickets?
Answers
By solving an expression we will see that the total cost for the tickets is $192.
What would be the total cost of the festival tickets?We know that six families went to the food festival, each family has 2 adults and 4 children, then there are:
6*2 = 12 adults in total.
6*4 = 24 children in total.
We know that each child ticket costs $4, and an adult ticket costs $8, then the total cost of all the tickets is what we get when we solve the expression below:
12*$8 + 24*$4
That is, the number of adults times the cost of an adult ticket plus the number of children times the cost of a children ticket.
The total cost is then:
12*$8 + 24*$4 = $192
Learn more about solving expressions:
https://brainly.com/question/723406
#SPJ1
a letter is chosen at random from the word FOOTBALL, the probability that the letter chosen is not an L is:
Answers
Answer:
7/8
Step-by-step explanation:
Step 1: Count the total number of letters in the word FOOTBALL
There are 8 letters in the word FOOTBALL.
Step 2: Count the number of letters that are not L
There are 7 letters that are not L.
Step 3: Calculate the probability
The probability that the letter chosen is not an L is 7/8.
Draw a number line to show 2/8 and 4/16 are equivalent.
Answers
Step-by-step explanation:
think of it as a ruler the small dashes represents the 16ths and the big dashes represents the 4ths. They are on the same line therefore they are equal.
a particular dress requires 3 1/4 yards of fabric for manufacturing. if the matching jacket requires 1/6 yards less fabric, how much fabric is needed for both pieces?
Answers
Answer: The matching jacket requires 1/6 yards less fabric than the dress, which is 3 1/4 - 1/6 = 3 1/4 - 2/12 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 3/12 yards of fabric.
To add these two amounts of fabric together, you need to add the yards and the inches separately.
For the dress: 3 1/4 yards = 3 + 1/4 = 3 + 0.25 = 3.25
For the jacket: 3 3/12 yards = 3 + 3/12 = 3 + 0.25 = 3.25
So, for both pieces, the required fabric is 3.25 + 3.25 = 6.5 yards
Step-by-step explanation:
Which graph is defined by the function given below?
y=(x + 2)(x+7)
10-
A.
-10
OA. Graph A
OB. Graph B
C. Graph C
OD. Graph D
10+
B.
10-
10
10-
D.
Answers
Graph A is defined by the function y=(x + 2)(x+7) as the graph at y=0 where the function crosses those two points .
what is function ?The study of mathematics comprises the study of quantities and their variations, equations and associated structures, shapes and their positions, and locations where they can be found. A combination of inputs and corresponding outputs are referred to as a "function," which describes the relationship between them. The term "function" refers to an association between inputs and outputs where each input produces a single, unique result. There are two domains, or scopes, assigned to each function. Usually, the symbol f is used to signify functions (x). input is an x. There are four basic categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
The function's zeros are
0=x+2 x=-2
and
0=x+7 x=-7
Consequently, the graph at y=0 where the function crosses those two points .
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
what is the quotient of g and 25
Answers
Answer:
the quotient of g and 25 is g/15.
Work out
2/3 - 2/5
Give your answer in its simplest form.
Answers
Answer:
4/15
Step-by-step explanation:
find common denominators, which is 15
multiply 2/3 by 5 and and 2/5 by 3
2 x 5 = 10 and
3 x 5 = 15
10/15
2 x 3 = 6 and
5 x 3 = 15
6/15
subtract numerators
10 - 6
15
= 4/15
A pet shelter has 5 cats and 9 dogs.
Enter the ratios in the boxes.
ratio of cats to all animals:
ratio of dogs to cats:
Answers
The ratio of cats to all animals is 5:14
the ratio of dogs to cats is 9:5
Given-
Cats = 5
Dogs = 9
Total animals = cats+ Dogs
5+9=14
so the ratio of cats to all animals = 5: 14
and dogs to the cats= 9:5
Ratio give the relation between quantities of to identies.
Read more about the ratio: https://brainly.com/question/12024093
PLEASE HELP ME DUE TODAY NOW ASAP THANKS
Answers
The rate of change of the end points of the line is 32/10
What is slope?
Slope is defined as the rate of change of y with respect to x. Also it is defined as increase in y over increase in x or decrease in y over decrease in x
slope is denoted by the formula = Δy/Δx
Where Δy = change in y
Δx= change in x
The given points are (-9, -2) and (5, 119/5)
The slope of the end points (119/5 + 21)/(5+9)
The slope is (119+105)/5
M= 44.8/14
The slope is 3.2 = 32/10
Therefore the rate of change is given as 32/10
Learn more about rate of change on https://brainly.com/question/29518179
#SPJ1
if (x+A)^2 -3 = x^2 + 4x + B. Find the value of A and B
Answers
The values of A and B are 2 and 4 respectively.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the equation as -
(x + A)² - 3 = x² + 4x + B
We can write the given equation as -
(x + A)² - 3 = x² + 4x + B
x² + A² + 2Ax = x² + 4x + B
A² + 2Ax = 4x + B
A² + 2Ax = B + 4x
Equating both sides, we get -
A² = B
and
2A = 4
A = 2
Then B will be equivalent to 4.
B = 4
Therefore, the values of A and B are 2 and 4 respectively.
To solve more questions on expressions, visit the link below -
brainly.com/question/1041084
#SPJ1
Lori works in a restaurant. She earns $7/hr plus tips. If Lori works 4 hours on a Tuesday, has $300 of food sales,
What is her base salary?
What is her Tips (18% of Food-sales) ?
What is her Total earnings?
Answers
Answer: Her total earnings would be $28+$54=$82.
Step-by-step explanation:
Lori's base salary is calculated by multiplying her hourly rate by the number of hours she works. If Lori works 4 hours on a Tuesday and earns $7/hr, her base salary would be 4*$7=$28.
Lori's tips are calculated as 18% of her food sales. If Lori has $300 of food sales on a Tuesday, her tips would be 18%*$300=$54.
Lori's total earnings for the day would be the sum of her base salary and her tips. In this case, her total earnings would be $28+$54=$82.
A bus rental company charges $60 for booking a bus and $120 for each hour the bus is rented. A tour group pays $780 to rent a bus. HELP WANTED TY!!
Select the equation that represents the given situation and find the number of hours the tour group rented the bus.
A. 60x + 120 = 780 ; 11 hours
B. 60x + 120 = 780 ; 6 hours
C. 120x + 60 = 780 ; 11 hours
D. 120x + 60 = 780 ; 6 hours
Answers
Answer:d. 120x+60=780
Step-by-step explanation:
120 cost per x hours
Flat Rental cost 60
120x+60=780
-60 as the flat rate which won’t change based on time.
120x=720
Divided by a rate of 120 per hour
x=6 hours
If a house has decreased 35% since it was purchased and it currently values 117,000 what was purchase value
Answers
Step-by-step explanation:
that means the current value of $117,000 is 100 - 35 = 65% of the original price.
65% = $117,000
1% = 65%/65 = 117000/65 = $1,800
100% = 1%×100 = 1800×100 = $180,000
the original (100%) purchase value was $180,000.
Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of video he uploads?
Answers
The average like for each minute of the video that he uploads will be 2,000 likes.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The total number of likes is calculated as,
Like / View = 1 / 5
Like / 9,000,000 = 1 / 5
Like = 1,800,000
The total number of minutes is calculated as,
Time length = (9,000,000 / 150,000) x 15
Time length = 60 x 15
Time length = 900 minutes
The average like for each minute of the video that he uploads will be given as,
⇒ 1,800,000 / 900
⇒ 2,000
The average like for each minute of the video that he uploads will be 2,000 likes.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
The complete question is given below.
Dagogo uploads 3 videos on his channel every month. Each video averages 15 minutes in length and gets an average of 150,000 new views. The average ratio of likes-to-views of Dagogo's videos is 1: 5. Dagogo wants to reach a total of 9,000,000 views on his channel.
Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of the video he uploads?
A paint store makes lime green paint by mixing 3 parts yellow paint to 1 part blue paint. A clerk mixès 5 parts yellow paint to 2 parts blue paint. did the clerk use the correct ratio of yellow paint to blue paint? Explain.
Answers
Answer:
No
Step-by-step explanation:
The ratio used should have been 6 parts yellow paint to 2 parts blue paint
hope this helps
7X -6Y=-3 what is the slope of the parallel and perpendicular line
Answers
Answer:
parallel: 7/6perpendicular: -6/7Step-by-step explanation:
You want the slopes of the lines parallel and perpendicular to 7x -6y = -3.
SlopeThe slope is the x-coefficient when the equation is in slope-intercept form:
y = mx +b
Solving for y gives ...
-6y = -7x -3
y = 7/6x +1/2 . . . . . divide by -6
The slope of the given line is 7/6.
ParallelA parallel line will have the same slope: 7/6.
PerpendicularA perpendicular line will have opposite reciprocal slope: -6/7.
Write an equation and solve for b using the diagram
below. YOU MUST WRITE THE EQUATION IN
ORDER TO GET CREDIT.
(3b + 18)°
93°
Answers
Step-by-step explanation:
hope this is right hehe.....
Solve the equation 5(4x-1.5x) + 12 = 4x- 124 for X
Answers
[tex] \sf \: 5(4x -1.5x) + 12 = 4x - 124 \\ \sf \: 5 \times 2.5x + 12 = 4x - 124 \\ \sf \: 12.5x + 12 = 4x - 124 \\ \sf \: 12.5x - 4x = - 124 - 12 \\ \sf \: 8.5x = - 136 \\ \sf \: x = - 16[/tex]
In the construction of bridges, engineers use a formula to help
determine the allowable stress on a bridge rocker, a component of the
bridge that handles the stress and weight placed on the pavement of the
bridge. The engineers use the formula F =11/300d (F − 13), where F is the
strength of the steel in kilopound per square inch and d is the diameter
of the rocker in millimeters.
Solve the formula F =11/300d (F − 13) for d.
Answers
From the engineers formula given, making d the subject of the formula gives us; d = 300F/(11(F - 13))
How to change the subject of the formula?
We are given the engineers formula as;
F = (¹¹/₃₀₀)d(F - 13)
Where;
F is the strength of the steel in kilopound per square inch.
d is the diameter of the rocker in millimeters.
From the given formula, we can start by;
Multiply both sides by 300 to get;
300F = 11d(F - 13)
Divide both sides by 11(F - 13) to get;
d = 300F/(11(F - 13))
Read more about Subject of Formula at; https://brainly.com/question/10643782
#SPJ1
The midpoint M of the line segment AB is (1,3). If the coordinate of B is (-5,7), what is the coordinate of the point A
Answers
Answer:
( 7,-1 )
Step-by-step explanation:
THIS ONE TOO PLEASE
Answers
A line that crosses the origin is symbolized by the equation y=mx. The line going through the origin equation is also y=2x.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
The line going through the origin equation is also y=2x.
A line that crosses the origin is symbolized by the equation y=mx.
Also, y=2x satisfies the point (0,0)
A line that crosses the origin is symbolized by the equation y=mx. The line going through the origin equation is also y=2x.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Simplify x+2+3x++5+x+3+2x
Answers
Answer: 7x+10
Step-by-step explanation:
combine like terms
x+3x+x+2x+2+5+3
7x+10
Answer:
Step-by-step explanation:
Simplification of : x + 2 + 3x + 5 + x + 3 + 2x = 7x + 10
First: find the (x) and collect them, put them in the bracket (to ensure the + or -)
(x + 3x + x + 2x) + 2 + 5 + 3
= 7x + 2 + 5 + 3
Then we add up the numbers
= 7x + 10
This is the end result.
x + 2 + 3x + 5 + x + 3 + 2x = 7x + 10
Learn more about algebra: https://brainly.ph/question/10069564
Ashanti cashed her paycheck at Cash-n-Go. The fee at Cash-n-Go is 7.5% of the amount of the check. Her paycheck was $670. How much was the fee for Ashanti to cash her paycheck?
Answers
Answer:
$50.25
Step-by-step explanation:
7.5% as a decimal is 0.075.
So, the fee is [tex](0.075)(670)=\$50.25[/tex].
A(n)___ is a convex in which both pairs of opposite side are parallel
Answers
4th option: parallelogram
how many times does 6 go into 137
Answers
Answer: 22 times
Step-by-step explanation: divide 137 by 6
137 divided by 6
Help if you know how to do this! I’d really appreciate it!
Answers
The value of x is 20 and the value of y is 8 from the given quadrilaterals.
What is a Congruent Polygon?The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.
Given that, ABCD≅EFGH
We know that, corresponding parts of congruent polygon are equal.
Now, (4y-4)°=28°
4y=32
y=8
(10x-65)°=135°
10x=200
x=20
Therefore, the value of x is 20 and the value of y is 8 from the given quadrilaterals.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
#SPJ1
A construction crew is lengthening a road. Let y represent the total length of the road (in miles). Let x represent the number of days the crew has worked.
Suppose that x and y are related by the equation y = 53+2x.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the change per day in the road's length?
miles
What was the road's length when the crew started working?
Answers
Answer: The equation y = 53+2x relates the variables x and y, where x represents the number of days the crew has worked and y represents the total length of the road.
The change per day in the road's length is given by the coefficient of x in the equation, which is 2. Thus, the change per day in the road's length is 2 miles.
The road's length when the crew started working is given by the constant term in the equation, which is 53. Thus, the road's length when the crew started working was 53 miles.
Step-by-step explanation:
WILL GIVE BRAINLIEST
There are 6.02 × 10^23 atoms in 1 gram of hydrogen. How many atoms are there in 400 grams of hydrogen? Write your answer in scientific notation. If necessary, round your answer to two decimal places.
If possible PLEASE write the answer in the form of 54x10^3
Answers
Answer: 2.403 × 10^3 atoms
Step-by-step explanation:
10^13 x 6.02 = 6.02^23 and 6.02^23 x 4 = 2,403 turned into 2.403 x 10^3 atoms.