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andrew-mc [135]
2 years ago
15

What is 3t – 6 = t –2.

Mathematics
1 answer:
GenaCL600 [577]2 years ago
4 0

Answer:

t=2

Step-by-step explanation:

<em>3</em><em>t</em><em>-</em><em>6</em><em>=</em><em>t-2</em><em>(</em><em>Group</em><em> </em><em>like </em><em>terms</em><em>)</em>

<em>3</em><em>t</em><em>-</em><em>t</em><em>=</em><em>-</em><em>2</em><em>+</em><em>6</em>

<em>2</em><em>t</em><em>=</em><em>4</em><em>(</em><em>Divide</em><em> </em><em>both </em><em>sides </em><em>by</em><em> </em><em>4</em><em>)</em>

<em>t</em><em>=</em><em>2</em><em>(</em><em> </em><em> </em><em>This</em><em> </em><em>is </em><em>because</em><em> </em><em>when</em><em> </em><em>you </em><em>divide </em><em>both </em><em>sides </em><em>by </em><em>2</em><em>,</em><em> </em><em>2</em><em> </em><em>can</em><em> </em><em>divide </em><em>4</em><em> </em><em>2</em><em> </em><em> </em><em>times</em><em> </em><em>so</em><em> </em><em>that's</em><em> </em><em>why</em><em> </em><em>we</em><em> </em><em>have</em><em> </em><em>t</em><em> </em><em>as</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>2</em><em>)</em>

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Answer:

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Step-by-step explanation:

3x+x^2+4

Put in order from largest to smallest power of x

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(1.)Find the slope of the line that passes through the given pair of points. (If an answer is undefined, enter UNDEFINED.) (?a +
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Answer:

1. The slope of the line is m=\frac{-2b+3}{2a}.

2. The value of a is 18.

Step-by-step explanation:

If a line passes through two points, then the slope of the line is

m=\frac{y_2-y_1}{x_2-x_1}

(1)

It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is

m=\frac{-b-(b-3)}{a+3-(-a+3)}

m=\frac{-b-b+3}{a+3+a-3)}

m=\frac{-2b+3}{2a}

The slope of the line is m=\frac{-2b+3}{2a}.

(2)

If the line passing through the points (a, 1) and (6, 5), then the slope of the line is

m_1=\frac{5-1}{6-a}=\frac{4}{6-a}

If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is

m_2=\frac{1-7}{a+2-2}=\frac{-6}{a}

The slopes of two parallel lines are same.

m_1=m_2

\frac{4}{6-a}=\frac{-6}{a}

On cross multiplication we get

4a=-6(6-a)

4a=-36+6a

4a-6a=-36

-2a=-36

Divide both sides by -2.

a=18

Therefore the value of a is 18.

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