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MrRissso [65]
3 years ago
6

Which are factors of x2 – 4x – 5? Check all that apply.

Mathematics
2 answers:
forsale [732]3 years ago
8 0
<span>1.) (x-5) and 4.) (x+1). Factoring works as follows: x*x = x^2 and x*1=x and -5*x=-5x and -5*1=-5. So you then have, x^2+x+(-5x)+(-5), therefore, you get the original: x^2-4x-5. This is how factoring works. You could not have x-4 or x-3 for various reasons, including the fact that the only factors of 5 are 5 and 1.</span>
kramer3 years ago
5 0
We have been given a quadratic formula. we need to find the factors. the factors are multiplied by each other and gives rise to the quadratic formula
x² - 4x - 5
to find the factors we need to multiply x² by -5 = -5x²
then the factors of 5x² should add up to -4x. 
possible factors of 5x² are 1x and 5x. 
to get a negative product one factor should be positive and other factor should be negative. the sum of the factors is -4x, then the larger factor should be negative. 
From 1x and 5x, larger factor is 5x therefore it should be -5x.
sum of 1x and -5x is -4x.
we write -4x in the quadratic formula as (1x - 5x)
x² + 1x - 5x - 5
taking the common factors out
x (x + 1) - 5 (x + 1)
(x-5) (x+1)
therefore factors are (x -5) and (x + 1)
answers are 1) and 4)
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point a has the coordinates(2,5) point B has the coordinates (6,17) how long is segment ab in simplified radical form
IRISSAK [1]

Answer:

4\sqrt{10}

Step-by-step explanation:

We have been given that point A has the coordinates(2,5) point B has the coordinates (6,17).

To find the length of segment AB we will use distance formula.

\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Upon substituting coordinates of point A and point B in distance formula we will get,

\text{Distance between point A and point B}=\sqrt{(6-2)^2+(17-5)^2}

\text{Distance between point A and point B}=\sqrt{(4)^2+(12)^2}

\text{Distance between point A and point B}=\sqrt{16+144}

\text{Distance between point A and point B}=\sqrt{160}

\text{Distance between point A and point B}=4\sqrt{10}

Therefore, the length of segment AB is 4\sqrt{10}.

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3 years ago
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Take out the factor of 3 from both numbers

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