If a triangular road sign has a center height of 15 inches and a bottom length of 14 inches long, what is the area of the road sign?

Formula

A = 1/2 b * h

Substitute

Area = 60 in^2

b = x

h = 2x - 1

60= 1/2 * x * (2x - 1)

Solve

60 = 1/2 * x (2x - 1) Multiply by 2

60 * 2 = x(2x - 1)

120 = x (2x - 1) Remove the brackets.

120 = 2x^2 - x  Subtract 120 from both sides.

2x^2 -  x - 120 = 0 This factors.

(2x + 15)(x - 8) = 0

Solve for x

2x + 15 = 0

2x = - 15

x = -15/2

x = - 7.5 a negative measurement is useless. Discard this answer.

x - 8 = 0

x = 8

Area (Check)

base = 8

height = 16 - 1 = 15

Area = 1/2 * 8 * 15 = 60 as it should

Answer

Use Area = 1/2 * b * h to find the base and the height.Step-by-step explanation:

ok

step-by-step explanation:

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: