The variable z varies jointly with the square of x and inversely with y. z = 4.4 when x = 3 and y =2. find an equation that relates the variables.

z = 0.9778x^2 / y.

Step-by-step explanation:

When z varies with the square of x the equation is z = kx^2 where k = a constant.

If it also varies inversely with y the equation is z = kx^2/y.

When z = 4.4 , x = 3 and y = 2 we have:-

4.4 = k * 3^2 / 2

Multiplying by 2:

8.8 = 9k

k = 8.8 / 9  

= 0.9778.

So the required formula is z = 0.9778x^2 / y.

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option