Y is inversely proportional to x. when y=7 , x=9
a) work out an equation connecting y and x
b) work out the value of y x=21

1.

2.

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

Convert variation to equation

----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

Multiply both sides by 9

Substitute 63 for k in equation 1

Multiply both sides by x

Hence, the equation connecting x and y is

Solving for when x = 21

Substitute 21 for x in the above equation

Divide both sides by 21

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step-by-step explanation:

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 .