What is x^2-12x+36 in factored form?

Mathematics

1 answer:

arsen [322]3 years ago

4 0

For this case we must factor the following expression:

$x ^ 2-12x + 36$

We must find two numbers that when multiplied give as a result "36" and when added together they give "-12". These numbers are:

$-6-6 = -12\\-6 * -6 = 36$

Then, the factorization is given by:

$(x-6) (x-6) = (x-6) ^ 2$

Answer:

$(x-6) ^ 2$

Option A

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Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6

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Answer: $\textsf{y = 3/2x + 7/2}$

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Given: $\textsf{Passes through (-1, 2) and parallel to y = 3/2x + 6}$

Find: $\textsf{The equation in slope-intercept form}$

Solution: In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us. After plugging in the values we just simplify and solve for y to convert to slope-intercept form.

Plug in the values