Z varies directly with x and inversely with y2.
When x = 2 and y = 5, z = 8.
What is the value of z when x = 4 and y = 9?

Solution:

Given that,

z varies directly with x and inversely with

Which means,

Where, "k" is constant of proportionality

Substitute x = 2 and y = 5, z = 8 in above

What is the value of z when x = 4 and y = 9?

Substitute k = 100 , x = 4 and y = 9 in above

Thus value of z is 4.938

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.