Algebra 1 Help PLEASE HURRY

Step-by-step explanation:

24)  Since the area A of a rectangle is A = L * W, the length, L, is

 A          r³ - 24r - 5

 =  

  W              r - 5

Let's find the quotient (the length) using synthetic division:

5   /    1    0    -24     -5

               5      25     5

          1     5       1        0

Since the remainder is zero, we can take 1   5   1 as the coefficients of L, representing the length of the rectangle:

1x^2 + 5x + 1  =  L

25)   Recall that the area of a triangle of base B and height H is

A = (1/2)(B)(H).  We need to calculate H from the given A and B.

Multiplying both sides of this equation by 2, we get 2A = (B)(H), or

            2A         2(2c^3 + 16)        4(c^3 + 8)

(H) =  =   =    =  4(c^2 - 2c + 4)  =  (H)

             B                  c + 2                  c + 2

step-by-step explanation: