Mathematics Middle School

The figure shows a line graph and two shaded triangles that are similar:

A line is shown on a coordinate grid. The x axis values are from negative 20 to positive 20 in increments of 4 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 16, negative 4, and 0, 0, and 16, 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to negative 8, negative 2 labeled as A, one leg is from 0, 0 to 0, negative 2, and the second leg is from 0, negative 2 to negative 8, negative 2. Another shaded right triangle is formed with the hypotenuse from negative 8, negative 2 to negative 12, negative 3 labeled as B, one leg is from negative 8, negative 2 to negative 8, negative 3, and the second leg is from negative 12, negative 3 to negative 8, negative 3.

Which statement about the slope of the line is true?

The slope from point O to point A is fraction 1 over 4 time the slope of the line from point A to point B.
The slope from point O to point A is four times the slope of the line from point A to point B
It is 4 throughout the line.
It is fraction 1 over 4 throughout the line.

Answers

Answer 1

Answer:

The answer is D

Step-by-step explanation:

Goodluck on your test

Answer 2

The slope is 4 throughout the line.

Option C is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Two coordinates between O and A.

((0, 0) and (-1, -4)

The slope of the line from O to A.

= (-4 - 0)/(-1 - 0)

= -4/-1

= 4 _____(1)

Two coordinates between A and B.

(-2, -8) and (-3, -12)

The slope of the line from A to B.

= (-12 + 8) / (-3 + 2)

= -4/-1

= 4 _______(2)

From (1) and (2) we get,

The slope is 4 throughout the line.

Thus,

The slope is 4 throughout the line.

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Related Questions

i need help with this problem.

Answers

Answer: 34

Step-by-step explanation:

8*6= 48 8*5=40 2 squared=4 40+48= 88 88/4=22

22+12= 34

It would be 34

Because 8(6+5) = 48+40= 88 over 4 which is 22 then you would do 6(2) which is 12 so 22+12 is 34

This drawing shows part of a centimeter ruler. The drawing has been enlarged. The small marks indicate millimeters. The large marks indicate centimeters.

How long is the paper clip?

2.3 mm
2.3 cm
1.3 cm
2 cm

Answers

2.3cm that’s your answer

Topic 4 Pythagorean Theorem

Find each missing length to the nearest tenth.

Answers
13--------

14----------

15---------

16-------------

17-------

18---------

19-------

20-------

21------

22----------

Answers

It’s not the answer, but if you search Pythagorean theorem calculator online, you can find the missing length by typing in the side lengths you currently have

Do you want all the answers for the questions in the pictures??

write the equation for this line

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

Which of the following is the graph of the inverse of f(x)=2x-3

Answers

Answer:

(-3,0) (0,1.5

Step-by-step explanation:

The answer choice which is the graph of the inverse of f(x)=2x-3 is; the graph of; f(x) = x/2 + 1.5.

What is the graph of the inverse of f(x)=2x-3?

It follows from the task content that the function given is; f(x)=2x-3.

Hence, to find the inverse function;

y = 2x - 3x = y/2 + 1.5.

Interchange the variables;

y = x/2 + 1.5.

On this note, it follows that the inverse function is;

f(x) = x/2 + 1.5

The graph of the inverse function therefore has points; (0, 1.5) and (2, 2.5) as points on the graph.

Answers

Answer:

Step-by-step explanation:

10 plus 15 is 25

Catalina's mother went to the bank to take out $40. She asked for 50% of the $40 in dollar bills. How much money did she receive in dollar bills?

Answers

$20.00 is the answer

Answer:

$20

Step-by-step explanation:

She came out with $20 because 40*.5 Is 20. Then you subtract the diffrence which is 20 and 40 which equals $20

Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Miriam owes $550 on a credit card. If she makes no purchases or payments, she will go more and more into debt.

Which of the following sequences describes her increasing monthly balance?

A. 550.00, 649.00, 765.82, 903.67, 1,066.33, ...

B. 550.00, 559.90, 569.80, 579.70, 589.60, ...

C. 550.00, 559.35, 568.86, 578.53, 588.36, ...

D. 550.00, 559.90, 569.98, 580.24, 590.68, ...

E. 550.00, 550.99, 551.98, 552.98, 553.97, ...

Please also explain how (steps) to get the answer, thank you!

Answers

Answer:

D. 550.00, 559.90, 569.98, 580.24, 590.68, ...

Step-by-step explanation:

So, her debt will increase of the interest rate of 1.8% on a credit card.

You have to multiply the rate by the amount that she owes. So, when you multiply 1.8% by $550 you get $9.90 amd you habe to add that to what she owes. You can't keep adding $9.90 because now her debt increased from $550 to $559.90. You now have to multiply $559.9 by 1.8% inorder to get her new amount of debt. If you multiply 1.8% by $550, then you are saying that she only has $550 as debt even though she now has $559.90 im debt. You must keep multiplying her new amount of debt by 1.8% to get her increasing monthly balance.

Answer:

Step-by-step explanation:

I say D

What is the radius and diameter of the following circle? 4.2cm Please help

Answers

Answer:

The radius is 4.2 and the diameter is always twice the amount of the radius so its 8.4.

Step-by-step explanation:

Answer: R = 4.2cm and D = 8.4cm

Step-by-step explanation: The diameter of a circle is the full line across the circle. The radius of a circle is half of its diameter. The line shown go's halfway through the circle so its the radius. To find the diameter you multiply the radius by 2.

[tex]4.2 * 2 = 8.4[/tex]

need helpp its a break room (click link) !!just need the direction code.

Answers

Answer:

bjugb k

Step-by-step explanation:

Good job you will do great on this

What’s your least favorite bank and provide 5 reasons.

Answers

Do you have options?

My favorite bank has to be citibank. It has great customer service. It’s easy. No fees. The cards are simple. Overall a good bank.

Matt drank 2.5 bottles of water yesterday. Each bottle contained 1.5 liters of water. What was the number of liters of water Matt drank yesterday?

Answers

So we multiply 2.5 x 1.5 which gives us 3.75

ANSWER:
3.75

Hello how are you? Tell me in an answer for 100 points

Answers

Answer:

Hiiiii

I'm okay, how about you?

thanks for the free points! :)

Umm 5 times 100 equals what

anyone able to help me?

Answers

Answer:

1) Not a function

2) Function

3 Function

Step-by-step explanation:

1.The ratio of males to total students in a mathematics class is 12 to 30. What fraction of the class is male?

40/10
6/10
12/30
2/50

The ratio of males to total students in a mathematics class is 3 to 30. What percent of the class is male?
40%
10%
45%
12%

Answers

Answer: 12/30

and 40 percent

Step-by-step explanation:

Well it’s 12 to 30 so just put a fraction bar

and 12 divided by 30 is .4

Answer:

The answers are 12/30 and 10%

Step-by-step explanation:

It's 40% because the ratio of males to total students is 12 to 30, or 12:30, which is equal to 12/30.

The other answer is 10% because the ratio of males to total students is 3 to 30, or 3:30, which is equal to 1/10. Then you would do 100 divided by 10 which would give you 10 so it's 10%.

Hope this helps!

A tree casts a shadow 8 meters long. At the same time, a building 64 meters tall casts a shadow 16 meters long. To the nearest meter, what is the height of the tree?

Answers

Answer:

32 meters

Step-by-step explanation:

If the trees shadow is half the height of the buildings shadow, then the tree is half the size of the building

The answer would be 32 meters

The legs of a nght triangle are ______ longer than the hypotenuse.

A. always
B. sometimes
C. never

Answers

A because it will ALWAYS be 180°

ILL GIVE BRAINLIEST

If you could give me answer that’s great! (An explanation too if you’d like!) Thank you!

Answers

I believe it would be D sorry if I’m wrong good luck!!

Pls Answer this using Algebraic expressions

Answers

Answer:

a) A total of 27 parents will receive a call on the third round of calls. b) A total of 39 parents would've been called by the end of the third round of calls. c) There would have to be a total of between 5 and 6 rounds

Step-by-step explanation:

Every time the total number of parents call 3 people, the number of parents tripled in every round.

3 to 9 to 27 to 51 to 153 to 459

Since 153 and 459 are between 5 and 6 rounds, the phone calls will stop between those 2 rounds.

[PICTURE ATTACHED]

another one of these science questions, idk what category to put it into.

is this correct?

Answers

Both they are traveling at the same speed so they have the same kinetic speed

Find 15 out of these numbers: 4,3,9,7 (You can use any symbol. meaning these: +, =, ×, ÷, BUT, you can not use the same number twice.)

»«»«»«»«

Whoever answers first i'll mark you brainilest!

»«»«»«»«

Good luck!!

Answers

Answer:

1×15

Step-by-step explanation:

it explains itself

Answer:

Step-by-step explanation:

9 + 7 = 16

16 + 3= 19

19 - 4 = 15

good morning mates how is your day planned

Answers

Answer:

boring and stuck in school

Step-by-step explanation:

Answer:

Good morning!

Step-by-step explanation:

help me! will give brainliest!

Answers

Answer:

Step-by-step explanation:

the answer is 1 by 4

we have to bracket of then plus and minus = minus

then we wil minus it and simplify it then we will get our answer

Neil measures the lengths of some objects in both yards and feet.
There is a proportional relationship between the number of yards, x, and the number of feet, y.
x (yards) y (feet)
1 3
2 6
3 9
6 18
What is the constant of proportionality? Write your answer as a whole number or decimal.

Answers

the constant of proportionality is 3 (multiplied by 3 to be exact)

The constant of proportionality(k) between a yard and a foot is 0.33.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

The variable feet and yards are in direct proportion.

Let,

yard = k(feet).

1 = 3k

k = 1/3 = 0.33.

learn more about proportion here :

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What is the value of the blue water drop? (Remember, each of the hangers is perfectly balanced)

Answers

Answer:

Step-by-step explanation:

cdcd

What solid geometric figure could be created using the pattern above?

Answers

Answer:

hiiiiii

Step-by-step explanation:

how are u I hope u are doing well

what pattern? i’m not sure i don’t see anything their

Maggie had $29.14. Then her mom gave her $7.50 for watching her younger brother.

She was paid $12.23 for her old roller skates. How much money does Maggie have now?

Answers

Answer:

48.87

Step-by-step explanation:

Answer:

48.89

Step-by-step explanation:

Just add up the numbers

Find the prime factorization of 196. Use a method of your choice. List your final answer
using exponents.

Answers

Positive Integer factors of 196 = 2, 4, 7, 28, 196 divided by 2, 2, 7, 7, gives no remainder. If we put all of it together we have the factors 2 x 2 x 7 x 7 = 196. It can also be written in exponential form as 22 x 72.

(I got all of this from google so i hope it’s right!)

Help meeeee plsssssssss

Answers

Answer:

The answer is D. -3 1/9

Triangle ABC was dilated with the origin as the center of dilation to create triangle A'B'C'. The triangle was dilated using a scale factor of 1/4.

The lengths of the sides of triangle ABC are given.

Enter the lengths of the sides of triangle A'B'C' below.
(Decimal values may be used.)

Answers

Answer:

I would say the middle one.

Step-by-step explanation:

Other Questions

Can anyone answer this simplify question i speak which tense is this Simplify this expression using the distributive property UK UKIDifferentDIFFERENTIATE BETWEEN FORMULA & A FUNCTION GNING EXAMPLE the main characteristic of an ideal republic is that Racism was only in the South during Reconstruction.Group of answer choicesTrueFalse Roger Bannister: The Barrier BreakerIntroduction How do you overcome obstacles that seem impossible? Sir Roger Bannister, the first man to break the four-minute-mile record, knew what it was like to break barriers.Learning a Passion Roger Bannister was born in Harrow, England, in 1929. Since his parents couldn't afford to send him to college, he worked to win scholarships to study medicine at Oxford. Bannister had two loves: studying medicine and running track. He worked hard to do well at both. Because of his studies, Bannister had less time for track practice than other athletes. Most athletes trained at least six days a week. Bannister trained only two to three times a week. In the 1952 Olympic Games, Bannister ran the 1500m race but finished fourth. Many said this was due to his lack of training. Bannister decided it was time to get serious. He focused on doing what everyone in the world thought was impossible. He wanted to break the four-minute-mile barrier.Setting a Goal No one in history had ever run a mile in less than four minutes, although several had tried. For decades, physicians believed that running a mile too fast would cause heart failure. Bannister knew he could set a new world record by working hard. Bannister believed that pushing himself beyond the pain would make him a winner. That is just what Bannister did on May 6, 1954, at Iffley Road Track in Oxford. On a cold, wet track, Roger Bannister broke the four-minute-mile barrier with a time of 3:59.4. Two other runners helped him set a fast pace. Then Bannister relied on his training to run the first three laps of the track in 3:01. During the final lap of the race against the clock, Bannister knew he could finish the race in less than 59 seconds. He broke away from the other runners and flew down the last two curves of the track at record speed. As he crossed the finish line, he collapsed into the arms of his friend Reverend Nicholas Stacey. Bannister was out of breath and out of energy, but he knew he had broken the world record. Bannister accomplished a great moment in history that day. After breaking the four-minute-mile barrier, Bannister competed in a few more races. He ran his personal record of 3:43.8 in the 1500m in the European Championship. That was Bannister's last race. In August of 1954, he retired at the age of 25 to focus on what he considered his true contribution to societyhis research in the field of neurology, the study of the nerves and the nervous system.Making a Difference In 1975, two decades after his feat, Roger Bannister was knighted by the Sports Council of England. 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