Hey!
The formula of direct variation is y = kx. So we know that p = kr^2
Hint: after it says varies, it's basically the equal sign.
so we can set it up
56 = 4^2k
56=16k
now we want k alone so we have to divide 16 on both sides
k=3.5
We can now solve for p like it asks
p = 3.5*6^2
p=126
There's your answer!
Hope this helps!
volume of a sphere = 4/3 *pi * r^3
3/4 * pi = 4/3 *pi * r^3
divide each side by pi
3/4 = 4/3 * r^3
multiply each side by 3/4
3/4 * 3/4 = r^3
9/16 = r^3
take the cube root of each side
r = (9/16) ^ (1/3)
You must first figure out what X is then plug it in to find Y
First find the slope
Slope formula: (y2-y1)/(x2-x1)
(-4-(-6))/(-2-2) = 2/-4 = -1/2
Slope intercept formula: y = mx + b
Y = -1/2x + b (solve for b)
Plug in any point
-6 = -1/2(2) + b
-6 = -1 + b, b = -5
Solution: y = -1/2x - 5
