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enot [183]
3 years ago
13

Factor the expression. 35g^2 – 2gh – 24h^2

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Option C: (7 g-6 h)(5 g+4 h) is the correct answer.

Explanation:

The given expression is 35 g^{2}-2 g h-24 h^{2}

We need to determine the factor of the expression.

Now, let us break the given expression into two groups.

Hence, we get,

35 g^{2}+28 g h-30 g h-24 h^{2}

Simplifying, we get,

\left(35 g^{2}+28 g h\right)+\left(-30 g h-24 h^{2}\right)

Let us factor out 7g from the term \left(35 g^{2}+28 g h\right)

Hence, we have,

7 g(5 g+4 h)+\left(-30 g h-24 h^{2}\right)

Similarly, let us factor out -6h from the term \left(-30 g h-24 h^{2}\right)

Thus, we have,

7 g(5 g+4 h)-6 h(5 g+4 h)

Now, we shall factor out the term 5g+4h , we get,

(7 g-6 h)(5 g+4 h)

Thus, the factorization of the given expression is (7 g-6 h)(5 g+4 h)

Therefore, Option C is the correct answer.

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Answer:

y=1/2x+1

Step-by-step explanation:

First use slope formula.

\frac{y2-y1}{x2-x1}

Plug in the information needed.

\frac{1-3}{0-4}=\frac{-2}{-4}=\frac{1}{2}

The slope is \frac{1}{2}.

Now, use point-slope formula.

y-y1=m(x-x1)

Plug in the information needed.

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y-3=1/2x-2

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The equation of the line in slope-intercept form is y=1/2x+1.

Hope this helps!

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2 years ago
Solve the equation for y.<br><br> 4.2x−1.4y=2.1
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Answer:

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Step-by-step explanation:

4.2x−1.4y=2.1

Subtract 4.2x from each side

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-1.4y = -4.2x +2.1

divide each side by -1.4

-1.4y/-1.4y = -4.2x/ -1.4 +2.1/-1.4y

y=3x- 3/2

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127X12 <br> I need to know this on paper no calculator for the test!!!!!!
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What is the answer? I can’t find it
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