Question

Select the correct answer

Answer 1

Answer:

Step-by-step explanation:

The area for a triangle is

$A=\frac{1}{2}bh$

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:

$13=\frac{1}{2} (6x+1)(x)$

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

$26=(6x+1)(x)$ and simplifying a bit:

$26=6x^2+x$

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

$6x^2+x-26=0$ which is choice C