3 years ago

Does anyone know this

Mathematics

1 answer:

Arturiano [62]3 years ago

8 0

Answer:

Step-by-step explanation:

Option C is the correct answer.

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Bezzdna [24]

Answer:

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Step-by-step explanation:

We know the Parallelogram Area is given by

$A=bh$ Eqn. (1)

where

$b$ : is the base

$h$ : is the height

We are also given that the base is

$b=2x^2+2x-6$

and the height is

$h=x-4$

So we can plug these two expressions in Eqn. (1), simplify and find our Area equation as follow:

$A=(2x^2+2x-6)(x-4)\\\\A=(2x^2)(x)+(2x)(x)-(6)(x)+(2x^2)(-4)+(2x)(-4)-(6)(-4)\\\\A=2x^3+2x^2-6x-8x^2-8x+24\\\\A=2x^3+2x^2-8x^2-6x-8x+24\\\\A=2x^3-6x^2-14x+24$

Which matches Option 2. from the available ones.

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