For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.

y=4x

Step-by-step explanation:x                 y

0                0

1                 4

2                8

3                12

From the above data:

we can say that y varies directly with x.

Direct variation states that if y is expressed as the product of some constant number k and x.

i.e y=kx

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the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .