The length of a rectangle is 8 cm greater than its width. Find the dimensions of the rectangle if its area is 105 square centimeters. (a) Write a polynomial equation that can be solved. (b) Solve the equation by factoring (input equation with binomials in this step). (c) State solution with units *

105 = (w+8) *w

w = 7 cm

l = 15 cm

Step-by-step explanation:

Area of a rectangle is

A = l*w

l = w+8

105 = (w+8) *w

Distribute

105 = w^2 +8w

Subtract 105 from each side

105-105 = w^2 +8w -105

0 =w^2 +8w -105

Factor

What 2 number multiply to 105 and add to 8

15*-7 = -105

15-7 = 8

(w+15) (w-7) =0

Using the zero product property

w+15 =0               w-7 =0

w=-15                      w=7

impossible

not negative

w =7

l = 15

Width: w

Length: w + 8

w(w + 8) = 105

w² + 8w - 105 = 0

w² + 15w - 7w - 105 = 0

w(w + 15) - 7(w + 15) = 0

(w + 15)(w - 7) = 0

w = -15, 7

width = 7cm

length = 7+8 = 15cm

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

125 yards

step-by-step explanation:

i take 75 plus 50.