How does the length of the diameter of a circle relate to the length of the radius of that same circle

Please help In which table does y vary directly with x?

grigory [225]

Answer:

Table D

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

Table A

For x=1, y=3

Find the value of k

$k=y/x$ -----> $k=3/1=3$

For x=2, y=9

Find the value of k

$k=y/x$ -----> $k=9/2=4.5$

the values of k are different

therefore

The table A not represent a direct variation

Table B

For x=1, y=-5

Find the value of k

$k=y/x$ -----> $k=-5/1=-5$

For x=2, y=5

Find the value of k

$k=y/x$ -----> $k=5/2=2.5$

the values of k are different

therefore

The table B not represent a direct variation

Table C

For x=1, y=-18

Find the value of k

$k=y/x$ -----> $k=-18/1=-18$

For x=2, y=-9

Find the value of k

$k=y/x$ -----> $k=-9/2=-4.5$

the values of k are different

therefore

The table A not represent a direct variation

Table D

For x=1, y=4

Find the value of k

$k=y/x$ -----> $k=4/1=4$

For x=2, y=8

Find the value of k

$k=y/x$ -----> $k=8/2=4$

For x=3, y=12

Find the value of k

$k=y/x$ -----> $k=12/3=4$

All the values of k are equal

therefore

The table D represent a direct variation or proportional relationship

The linear equation is $y=4x$

6 0

2 years ago

Read 2 more answers

Draw a tree diagram to represent the following scenario. You choose a random letter from the word SANDWICH. How many possible ou

VARVARA [1.3K]

Probability helps us to know the chances of an event occurring. There are 8 different scenarios possible.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

For the given word SANDWICH, there are 8 different scenarios possible, which can be represented as shown below.

Hence, there are 8 different scenarios possible.

Learn more about Probability:

brainly.com/question/795909

#SPJ1

8 0

1 year ago

Evaluate the equation. H divided by 3 = 69 2/3

Strike441 [17]

Answer:

138

Step-by-step explanation:

Do the inverse. 69 2/3 multiplied by 3 is 138.

7 0

1 year ago

Max z = 3x1 + 5x2 subject to: 7x1 + 12x2 ≤ 136 3x1 + 5x2 ≤ 36 x1, x2 ≥ 0 and integer find the optimal solution. what is the valu

Reptile [31]

The second constraint is the same as the objective function, so your problem boils down to finding integer solutions to
.. 3x1 +5x2 = 36

There are 3 solutions. They are (x1, x2) = (12, 0), (7, 3), (2, 6)

The value of the objective function there is (obviously) 36.

4 0

2 years ago

Your vacation cabin on the lake has three rooms. The bathroom is 12' X 6', the bedroom is 14' X 18' and the great room is 20' X

GarryVolchara [31]

Answer: $9240\ ft^3$