Z varies directly as x². If z=8 when x=2, find z when x=7

98

Step-by-step explaination:

For this question, it is a direct variation. Hence, the equation would be formed accordingly, and the constant k would also be used.

z varies directly as x²

z= kx² where k is the constant

z = 8

x = 2

Putting the figures in the equation, we have

8=2²(k)

8= 4k

Dividing both sides by 4, we have

k = 8/4

k = 2

Solving for z now, we substitute k with 2. And x with 7

z=kx²

z = 2(7²)

z= 2(49)

z= 98

If it were indirect variation, the constant would have been 1/k. We also have other types of variation, Indirect variation, partial variation and joint variation.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet