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stealth61 [152]

3 years ago

11

What is the equation of a line that is perpendicular to the line that goes through the points (0, -3) and (-3, 12)?

1 answer:

Schach [20]3 years ago

3 0

Hello,

Slope of the line passing through the points:
m=(12+3)(-3-0)=-5
Slope of the perpendicular: 1/5

==> Answer D.

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2 years ago

Solve the equation 8x -12=5x+15

melamori03 [73]

Add <span /><span><span><span><span><span><span>12</span></span><span /></span></span><span /></span><span>12</span></span> to both sides
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2<span> </span>Simplify <span /><span><span><span><span><span><span>5</span><span>x</span><span>+</span><span>15</span><span>+</span><span>12</span></span><span /></span></span><span /></span><span>5x+15+12</span></span> to <span /><span><span><span><span><span><span>5</span><span>x</span><span>+</span><span>27</span></span><span /></span></span><span /></span><span>5x+27</span></span>
<span /><span><span><span><span><span><span>8</span><span>x</span><span>=</span><span>5</span><span>x</span><span>+</span><span>27</span></span><span /></span></span><span /></span><span>8x=5x+27</span></span>
3<span> </span>Subtract <span /><span><span><span><span><span><span>5</span><span>x</span></span><span /></span></span><span /></span><span>5x</span></span> from both sides
<span /><span><span><span><span><span><span>8</span><span>x</span><span>−</span><span>5</span><span>x</span><span>=</span><span>27</span></span><span /></span></span><span /></span><span>8x−5x=27</span></span>
4<span> </span>Simplify <span /><span><span><span><span><span><span>8</span><span>x</span><span>−</span><span>5</span><span>x</span></span><span /></span></span><span /></span><span>8x−5x</span></span> to <span /><span><span><span><span><span><span>3</span><span>x</span></span><span /></span></span><span /></span><span>3x</span></span>
<span /><span><span><span><span><span><span>3</span><span>x</span><span>=</span><span>27</span></span><span /></span></span><span /></span><span>3x=27</span></span>
5<span> </span>Divide both sides by <span /><span><span><span><span><span><span>3</span></span><span /></span></span><span /></span><span>3</span></span>
<span /><span><span><span><span><span><span>x</span><span>=</span><span><span><span><span>27</span><span /></span><span><span>3</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>x=273</span></span>
6<span> </span>Simplify <span /><span><span><span><span><span><span><span><span><span>27</span><span /></span><span><span>3</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span><span>273</span></span> to <span /><span><span><span><span><span><span>9</span></span><span /></span></span><span /></span><span>9</span></span>
<span /><span><span><span><span><span><span>x</span><span>=</span><span>9</span></span><span /></span></span><span /></span><span>x=9
</span></span>

5 0

3 years ago