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3 years ago

I need help PLEASE I have to factor the examples and I also need to show my steps I forgot how to do it can somebody plz help!!

Mathematics

1 answer:

Zina [86]3 years ago

5 0

For this, all you need to do is factor out the GCF, or greatest common factor. To find the GCF of these terms, list the factors of each term and the greatest one they share is their GCF. In this case, the GCF is 5x. <u>Factor out 5x from this expression, and your answer is going to be $5x(2x-5)$ </u>

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Solve the following equation using Gaussian elimination method

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Eliminate p :

2 (m + 2n + 2p) + (-1) (3m - n + 4p) = 2 (4) + (-1) 25

2m + 4n + 4p - 3m + n - 4p = 8 - 25

-m + 5n = -17

(m + 2n + 2p) + 2 (3m + 2n - p) = 4 + 2 (-4)

m + 2n + 2p + 6m + 4n - 2p = 4 - 8

7m + 6n = -4

Eliminate m :

7 (-m + 5n) + (7m + 6n) = 7 (-17) + (-4)

-7m + 35n + 7m + 6n = -119 - 4

41n = -123

Solve for n :

n = -3

Solve for m :

-m + 5 (-3) = -17

-m - 15 = -17

m = 2

Solve for p :

2 + 2 (-3) + 2p = 4

2 - 6 + 2p = 4

2p = 8

p = 4

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2 years ago

The problem on the left has been solved INCORRECTLY.

lbvjy [14]

The student used the wrong trig ratio. They should use cosine instead.

$\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(x) = \frac{9}{29}\\\\x = \cos^{-1}\left(\frac{9}{29}\right)\\\\x \approx 71.9^{\circ}\\\\$

If the student wanted to use sine, then they would need to use the pythagorean theorem to find the opposite side first. I recommend using cosine since it's faster. Make sure your calculator is in degree mode.

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