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zvonat [6]
2 years ago
12

What is the equation?

Mathematics
1 answer:
zavuch27 [327]2 years ago
7 0

Answer:

\displaystyle 5x + 6y = 72\:or\:y = -\frac{5}{6}x + 12

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE <em>RATE OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so 1⅕ becomes −⅚, and we move forward with plugging the information into the Slope-Intercept formula:

\displaystyle -8 = -\frac{5}{6}[24] + b \hookrightarrow -8 = -20 + b; 12 = b \\ \\ \boxed{y = -\frac{5}{6}x + 12}

To write this in Linear Standard Form, perfourm he following:

y = −⅚x + 12

+ ⅚x + ⅚x

___________

⅚x + y = 12 [We cannot leave the equation this way, so multiply the equation by the denominatour to eradicate the fraction.]

6[⅚x + y = 12]

\displaystyle \boxed{5x + 6y = 72}

I am joyous to assist you at any time.

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1/2(2g-3)=-4(g+1) show work
xz_007 [3.2K]
<span><span><span>1/2</span><span>(<span><span>2g</span>−3</span>)</span></span>=<span>−<span>4<span>(<span>g+1</span>)</span></span></span></span>
<span><span><span>1/2</span><span>(<span><span>2g</span>−3</span>)</span></span>=<span>−<span>4<span>(<span>g+1</span>)</span></span></span></span>
<span><span>g+<span><span>−3/</span>2</span></span>=<span><span>−<span>4g</span></span>−4</span></span>
<span><span><span>g+<span><span>−3/</span>2</span></span>+<span>4g</span></span>=<span><span><span>−<span>4g</span></span>−4</span>+<span>4g</span></span></span><span><span><span>5g</span>+<span><span>−3</span>2</span></span>=<span>−4</span></span>
5g+−3/2+3/2=−4+3/2
<span><span>
5g</span>=<span><span>−5/</span>2</span></span>
<span><span><span>5g/</span>5</span>=<span><span><span>−5</span>2</span>5</span></span><span>
g=<span><span>−1</span><span>2

Hoped I helped!</span></span></span>
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3 years ago
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