Determine the factors of x2 − 8x − 12.

Mathematics

2 answers:

trasher [3.6K]3 years ago

8 0

C. Prime
Pretty sure its C because none of the other options factor to x^2-8x-12

lorasvet [3.4K]3 years ago

4 0

Answer:

The correct option is: c. Prime

Step-by-step explanation:

The given expression is: $x^2 -8x-12$

First we will take each given option and simplify them using FOIL method to see if we get the original given expression. So.....

$a.\ \ \ (x-6)(x+2)\\ \\ =x^2+2x-6x-12\\ \\ =x^2-4x-12\\ \\ \\ b.\ \ \ (x+3)(x-4)\\ \\ =x^2-4x+3x-12\\ \\ =x^2-x-12\\ \\ \\ d.\ \ \ (x+6)(x-2)\\ \\ =x^2-2x+6x-12\\ \\ =x^2+4x-12$

We can see that options $a, b\ and\ d$ doesn't give the original given expression.

So, the expression $x^2 -8x-12$ is Prime.

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Please Help!

alisha [4.7K]

Diagonal of the parallelogram divides the parallelogram in to two equal areas.

So area of parallelogram = 2(area of triangle)

According to the given diagram,

AB= 8, AD = 5 and BD = 11

So according to the Heron's formula,

Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\\\where,\\ s =\frac{a + b + c }{2}$

and a, b and c are the three sides of the triangle

Area of triangle ABD = $s=\frac{8 + 5 + 11}{2} \\\\s = \frac{24}{2}\\\\s = 12Area of triangle ABD = \sqrt{12(12 - 8) (12 - 5) (12 - 11)}\\\\Area of triangle ABD = \sqrt{12(4) (7) (1)}\\\\Area of triangle ABD = \sqrt{336}\\\\Area of triangle ABD = 18.33$