How would I solve this? Can I get steps?

p = ± q / 5r + 8; Option D

Step-by-step explanation:

We are given the following equation; q^2 / p^2 - 16p + 64 = 25r^2;

q^2 / p^2 - 16p + 64 = 25r^2 ⇒ Let us factor p^2 - 16p + 64, as such,

p^2 - 16p + 64,

( p )^2 - 2 * ( p ) * ( 8 ) + ( 8 )^2,

( p - 8 )^2 ⇒ Now let us substitute this into the equation q^2 / p^2 - 16p + 64 = 25r^2 in replacement of p^2 - 16p + 64,

q^2 / ( p - 8 )^2 = 25r^2 ⇒ multiply either side by ( p - 8 )^2,

q^2 = 25r^2 * ( ( p - 8 )^2 ) ⇒ divide either side by 25r^2,

q^2 / 25r^2 = ( p - 8 )^2 ⇒ Now apply square root on either side,

| p - 8 | = √( q^2 / 25r^2 ) ⇒ Simplify,

| p - 8 | = q / 5r,

| p | = q / 5r + 8,

Answer; p = ± q / 5r + 8; Option D

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50