True or False: The points (6,13) (21, 33) and (99, 137) all lie on the same line. The equation of the line is y = 4/3x + 5. PLS HELP ASAP

Answers

Answer 1

Answer:

This is true look at picture for clarification

True Or False: The Points (6,13) (21, 33) And (99, 137) All Lie On The Same Line. The Equation Of The
Answer 2

Answer:

True

Step-by-step explanation:

To see if the points all lie on the line y = 4/3x + 5, substitute their x and y values into the equation, solve, and see if the equation is true.

1) First, substitute the x and y values of (6,13) for the x and y in the equation and solve:

[tex]13 = \frac{4}{3} (6) + 5 \\13 = \frac{24}{3} +\frac{15}{3} \\13 = \frac{39}{3}\\13 = 13[/tex]

The result is a true equation. Thus, (6,13) is on the line.

2) Do the same with the point (21,33):

[tex]33 = \frac{4}{3} (21) + 5 \\33 = \frac{84}{3} +\frac{15}{3} \\33 = \frac{99}{3} \\33 = 33[/tex]

The result is a true equation. Thus, (21,33) is on the line.

3) Finally, do the same with (99, 137):

[tex]137 = \frac{4}{3} (99) + 5\\137 = \frac{396}{3}+\frac{15}{3} \\137 = \frac{411}{3} \\137 = 137[/tex]

The result is a true equation. Thus, (99, 137).

All three points are on the line, thus the statement is true.


Related Questions

how do you do this? its a 5 mark question​

Answers

You multiply both the sides and the top and add them

Answer:

336

Step-by-step explanation:

12*28

Write the following mixed number as an improper fraction.

1 1/5​

Answers

Answer:

6/5

Step-by-step explanation:

1 would equal 5/5 so add another 1 to get 6/5

Find the geometric mean of 24 and 45.

Answers

Hi! It’s 10 to the square root of 6.

The geometric mean of 24 and 45 is equal to 32.86.

Given the following data:

Numbers = 24 and 45.

What is geometric mean?

Geometric mean is an average value that is used to indicate the central tendency of a data set containing a group of numbers, especially by determining the product of their values.

Mathematically, geometric mean is given by this formula:

[tex]G=\sqrt[n]{x_1x_2...x_n}[/tex]

Substituting the given parameters into the formula, we have;

[tex]G = \sqrt[2]{24 \times 45} \\\\G = \sqrt{1080}[/tex]

G = 32.86.

Read more on geometric mean here: https://brainly.com/question/2292573

$420 is divided between A, B and C. B receives $20 less than A, and C receives half as much as A and B together. how much does each receive?

Also could you explain the answer?

Answers

Answer:

A = $150

B = $130

C = $140

Step-by-step explanation:

Let the amount received by a be $x

b receives $20 less than a;

we have that;

b = x - 20

c receives half of Sum A and B

c = (x + x-20)/2

c = (2x-20)/2

c = x - 10

Add all and it gives 420

x - 10 + x -20 + x = 420

3x -30 = 420

3x = 420 + 30

3x = 450

x = 450/3

x =$150

a = 150

b = x - 20; 150 - 20 = 130

c = x-10

c = 150-10

c = $140

Which expressions are equivalent to − 90 − 60 w?

Answers

Answer:

A : -30(3+2w)

B : (-9-6w) ⋅ 10

E : −20(4.5 + 3w)

Using distributive property:

A : -30(3+2w)  =  -90 - 60w          : equivalent to -90 - 60w

B : (-9-6w) ⋅ 10  = -90 - 60w          : equivalent to -90 - 60w

C : -3(30 - 20w)  = -90 + 60w       : NOT equivalent to -90 - 60w

D : (6 + 4w)×15  = 90 + 60w          : NOT equivalent to -90 - 60w

E : −20(4.5 + 3w) = - 90 - 60w     : equivalent to -90 - 60w

SO THAT MEANS

A : -30(3+2w)

B : (-9-6w) ⋅ 10

E : −20(4.5 + 3w)

ARE THE ANSWERS

Step-by-step explanation:

Jonathan drives 845 miles in 5 hours. What is his average rate of speed in miles per hour?

Answers

845 / 5 = 169
his average rate of speed is 169 mph.

Answer:

ok so it is 169

Step-by-step explanation:

ok i hope this is correct i used a calculator so sorry if its wrong all i did was divide some stuff

if its correct can u give me the crown

if u dont want to thats alright

i divided 845 and 5 and got 169

A music collection includes 19 ROCK CDs, 12 COUNTRY CDs, 6 CLASSICAL CDs, and 5 HIP HOP
CDs. What is the probability that a CD randomly selected from the collection IS a classical CD?

Answers

Answer:

The probability is 6/42. If you need it simplified it's 1/7.

Step-by-step explanation:

If it's wrong please let me know :)

what is the
mode
median
mean
and range
to the numbers 24,34,32,16,45,38,28

Answers

Answer:

The mean is 31

The mode is In this case there is no mode

The median is 32

The range is 29

3h + 4, where h = 7 pls help​

Answers

Answer:

25

Step-by-step explanation:

3 (7) + 4 =

21 + 4 = 25

good luck, hope this helps :)

Answer:

25

Step-by-step explanation:

1. we need to substitute h

so it would look like:

[tex]3(7)+4\\21+4\\25[/tex]

Hope this helps and answers your question! Have a great day/night!

Work out the value of 54
18 − 6

Answers

5418-6= 5412

Hope this helps

The value of a car decreases by 5% each year. Sophie bought a car two years ago for £10000. Work out the value now.

Answers

Given:

The value of car before two years = £10000

The value of the car decreases by 5% each year.

To find:

The present value of the car.

Solution:

The exponential decay model for present value is

[tex]y=a\left(1-\dfrac{r}{100}\right)^t[/tex]

Where, a is the initial value, r is the rate of decay and t is time in years.

Putting P=10000, r=5 and t 2, we get

[tex]y=10000\left(1-\dfrac{5}{100}\right)^2[/tex]

[tex]y=10000\left(1-0.05\right)^2[/tex]

[tex]y=10000\left(0.95\right)^2[/tex]

On further simplification, we get

[tex]y=10000(0.95)(0.95)[/tex]

[tex]y=9025[/tex]

Therefore, the present value of the car is £9025.

Tom has a 4-sided spinner and the table below shows the probabilities
that when the spinner is spun it will land on 1, 3 and on 4
Number
1
2
3
4
Probability
0.1
0.2
0.4
The spinner is spun once.
a) What is the probability that the spinner will land on 2?
Il
(1)
b) Which number is the spinner least likely to land on?
(1)
c) If Tom spins the spinner 80 times, work out an
estimate for the number of times the spinner will land on 3
(2)

Answers

Answer:

0.3

Step-by-step explanation:

it's the only one not there

The markings on the number line are evenly spaced. Label the other markings on the number line.

Answers

Answer:

A= -75

B= -60

C= -45

D= -15

E= 15

F=30

Step-by-step explanation:

Each point is 15 away, so you just add or subtract 15 based off of if it's a negative or positive number on the number line.

Hope this helped!

Here are the first five terms of a number sequence
19
23
27
31
35
Find the 10th term in the sequence

Answers

1st is 19
2nd is 23
3rd is 27
4th is 31
5th is 35
6th is 39
7th is 43
8th is 47
9th is 51
10th is 55
This is because you are adding 4 each time, the rule of the sequence is 4n+15

help please i need you

Answers

Answer:-10hy-4h

Step-by-step explanation:

h*-10y and h*-4


Which fraction does point A show?
A.3/7
B.3/4
C.8/5
D.7/4

Answers

Answer:

d 7/4

Step-by-step explanation:

Jacob received a deck of cards for his birthday. The length, width, and height of the card box are shown below. What is the volume of the card box?

Answers

The question is incomplete :

The height, width and Lenght isn't Given. However, we can create an hypothetical scenario, with a height 6, length 8 and width 4

Answer:

192 unit³

Step-by-step explanation:

The volume of the card box :

Recall the volume of box formula :

V = length * width * height

Volume = 8 * 6 * 4

Volume = 192 unit³

This is the procedure for any given dimension of the card deck.

Answer:

5 5/6 cu in

Step-by-step explanation:

what is 8333333333/100000000000 simplified? It might be hard but I need help and it's for tonight. Thanks!

Answers

0.08 is the answer because it was easy to do and it was good

PLEASE SHOW WORK ILL GIVE BRAINLIEST DUE TODAY!!!

14 + 18 ÷ 2 x 18 – 7

15 x 10 + 12 ÷ 3 + 9

8 x 4 + 9 – 9 + 18

2 - 1 + 5 x 4 x 11

60 – 9 x 8 ÷ 8 x 6

(10 ÷ 5)3 + 100 – 9 x 11

3 x 8 x 2 – 42 + 5

14 ÷ 2 -1 + 3

Answers

Answer:

1.) 169

2.) 63

3.) 50

4.) 221

5.) 6

6.) 501

7.)11

8.) 9

Step-by-step explanation:

sorry i dont have time for the explanation. :( i hope i helped you still

Find the slope of the line that passes through (0, -5) and (3, -4)

Answers

Answer: I believe it is 2

slope=y2-y1/x2-x1

y2-y1= (0,-3)

x2-x1= (4,5)

m=5-(-3)/4-0

m=2

1.2.1
Question Help
An airplane on autopilot took 8 hours to travel 5,616 kilometers. What is the unit rate for kilometers per hour?
The unit rate is kilometer(s) per hour.
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Answers

702km per hour is the correct answer

what is the perimeter of this building?

Answers

Answer:

115 m

Step-by-step explanation:

4 + 9 + 6 + 4 = 23 cm

23 x 5 = 115 m

155, I’m not sure if the line without a number would be counted

Cristal had $157 in her checking account. She then made a deposit of $160. Find her new account balance.

Answers

Answer:

$317

deposit: add

157+160= 317

x+3>70
Please helpp plzzzzzz

Answers

Answer:

x>67

So basically what you do is subtract 3 from each side :)

what is the answer to the question -6=n+5n

Answers

Answer:

-1=n I believe would be the answer.

help me please I need

Answers

Answer:

I think the answer is A=49

If the probability that Caleb makes a free-throw is 60% what is the probability that Kayla makes two free throws in a row?

Answers

You cannot tell with the data 60%

Find m < E (Image Below)

Answers

Answer:

uiuiuiui86767

Step-by-step explanation:

your answer is e330408384

An older person is 8 yes older than seven times the age of a younger person. The sum of their ages is 32. What are their ages?

Answers

The answers are 3 and 29
Hope this helps if it does please consider making my answer brainliest

In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of ∠K, to the nearest 10th of a degree.

Answers

Given:

In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

To find:

The value of  ∠K to the nearest 10th of a degree.

Solution:

According to the Law of Sine:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

Using the Law of Sine, we get

[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]

[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]

[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]

[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]

[tex]\sin K=0.961349[/tex]

[tex]K=\sin^{-1}(0.961349)[/tex]

[tex]K=74.0182[/tex]

[tex]K\approx 74.0[/tex]

Therefore, the measure of angle K is 74.0 degrees.

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