glimmer
contestada

The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is x feet, which equation models this situation?

A. 6x^2 +x-12=0

B. 6x^2+x-13=0

C. 6x^2+x-26=0

D. 36x^2+6x-26=0

Respuesta :

The correct answer is choice C.  Here is the reason.  If you substitute the information into the formula this is what it would be:
 A = bh/2
13 = x (6x + 1)/2
13 = (6x^2 + x)/2
26 = 6x^2 + x
0 = 6x^2 + x - 26

The equation that models the situation is 6x²+ x - 26.

The correct option is (C)

What is Area of triangle?

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

For example:

What is the area of a triangle with base 'b' = 2 cm and height 'h' = 4 cm?

Using the formula:

Area of a Triangle, A = 1/2 × b × h = 1/2 × 4 × 2 = 4 cm2

Given:

let base of the triangle is x feet

height = 6x+ 1

We know, Area of triangle,

A = 1/2 * b*h

13 = x *(6x + 1)/2

13 = (6x ²+ x)/2

26 = 6x² + x

0 = 6x²+ x - 26

Hence, equation that models the situation is 6x²+ x - 26.

Learn more about Area of triangle here:

https://brainly.com/question/19305981

#SPJ2

Otras preguntas