Select the correct answer
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 xfeet, which equation models
this situation?
A 6x²+x-12=0
B. 6x²+x -13=0
C 6x²+x-26=0
D. 36x² +6x-26= 0

Our base is given as x, the height is given as 1 more than 6 times the base which looks like this: 6x + 1. We know that the area is 13, so filling in everything:

[tex]13=\frac{1}{2} (6x+1)(x)[/tex]

We can get rid of the denominator of 2 by multiplying it on both sides to get:

[tex]26=(6x+1)(x)[/tex] and simplifying a bit:

[tex]26=6x^2+x[/tex]

Now we can move over the 26 and put the expression into standard quadratic form by setting it equal to 0:

[tex]6x^2+x-26=0[/tex] which is choice C

Select the correct answer 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 xfeet, which equation models this situation? A 6x²+x-12=0 B. 6x²+x -13=0 C 6x²+x-26=0 D. 36x² +6x-26= 0

Respuesta :

Otras preguntas

Select the correct answer
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 xfeet, which equation models
this situation?
A 6x²+x-12=0
B. 6x²+x -13=0
C 6x²+x-26=0
D. 36x² +6x-26= 0