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Select the correct answer.
The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is 12 square feet, which equation models this situation?

A.
5x2 − 2x − 12 = 0
B.
5x2 − 2x − 6 = 0
C.
5x2 − 2x − 24 = 0
D.
25x2 − 10x − 24 = 0

Respuesta :

mathstudent55

Answer:

A. 5x^2 - 2x - 12 = 0

Step-by-step explanation:

The base is x feet.

The height is 2 less that 5 times the base.

The height is 5x - 2.

The area is 12.

The area is base * height / 2.

area = bh/2

area = x * (5x - 2) = 12

5x^2 - 2x = 12

5x^2 - 2x - 12 = 0

towl35

Answer:

[tex] {5x}^{2} - 2x - 24 = 0[/tex]

Step-by-step explanation:

[tex]area \: a = \frac{base \times height}{2} = \frac{bh}{2} [/tex]

let b = x and h = (5x - 2) then

[tex]a = \frac{x(5x - 2)}{2} = 12 {ft}^{2} \\ a = \frac{ {5x}^{2} - 2x}{2} = 12 {ft }^{2} \\ a = 2 \times \frac{ {5x}^{2} - 2x}{2} = 12 {ft}^{2} \times 2 \\ a = {5x}^{2} - 2x = 24 {ft}^{2} \\ a = {5x}^{2} - 2x - 24 = 0[/tex]

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