Find the area of a triangle whose base is x² + 2x +4 and whose height is 2x²+2x+6. A. 3x⁴ +9x² +10x +12
B. x⁴+ 3x³ + 9x² + 10x + 12
C. 3x⁴+3x³ +9x² +10x+12
D. x⁴+ 9x² + 10x +12

Given the following information, the area of the triangle is x⁴+3x³+9x²+10x+12

Step-by-step explanation:

We must know the formula for finding the area of a triangle in order to begin.

Area = 1/2(b×h)

First we multiply the base and height together.

Base = x² + 2x + 4

Height = 2x² + 2x + 6

(x² + 2x + 4)(2x² + 2x + 6)

Use the foil method to solve this.

2x⁴ + 2x³ + 6x² + 4x³ + 4x² + 12x + 8x² + 8x + 24

Combine like terms.

2x⁴ + 6x³ + 18x² + 20x + 24

Now that we have our product, we have to divide this expression by 2 or 1/2.

(2x⁴ + 6x³ + 18x² + 20x + 24)/2

So, the area of the triangle is x⁴ + 3x³ + 9x² + 10x + 12

where are the choices?

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !