Answer: B
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Answer:
13 in
Step-by-step explanation:
let w be width then length is w + 6
the area (A) of a rectangle is calculated as
A = length × width , then
A = w(w + 6) = 91 , that is
w² + 6w = 91 ( subtract 91 from both sides )
w² + 6w - 91 = 0 ← in standard quadratic form
(w + 13)(w - 7) = 0 ← in factored form
equate each factor to zero and solve for w
w + 13 = 0 ⇒ w = - 13
w - 7 = 0 ⇒ w = 7
however, w > 0 then w = 7
and length = w + 6 = 7 + 6 = 13 in
Equation of a line that is perpendicular to given line is
.
Equation of a line that is parallel to given line is
.
Solution:
Given line
.
Slope of this line,
= 



Slope of perpendicular line, 
Passes through the point (–7, 5). Here
.
Point-slope formula:



Subtract 7 from both sides, we get

Equation of a line that is perpendicular to given line is
.
To find the parallel line:
Slopes of parallel lines are equal.


Passes through the point (–7, 5). Here
.
Point-slope formula:


Subtract 7 from both sides,

Equation of a line that is parallel to given line is
.
Answer:
-160
Step-by-step explanation: