Answer this with a explanation and your answer will be chosen as the brainliest.
a gardener is installing fence around his garden. let x represent the width of the garden, in feet. the perimeter of the garden is 8x + 8. which expression represents the length of the garden?
a. 2x + 2
b. 3x + 4
c. 6x + 8
d. 8x + 8 - 2x

B

Step-by-step explanation:

Perimeter = 2w + 2l ( w is width and l is length )

w = x and Perimeter = 8x + 8, thus

2x + 2l = 8x + 8 ( subtract 2x from both sides )

2l = 6x + 8 ( divide all terms on both sides by 2 )

l = 3x + 4 → b

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true