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Usimov [2.4K]
3 years ago
15

-34 + 91 = -3 (4x + 1) + 6x

Mathematics
2 answers:
ra1l [238]3 years ago
3 0

-34 + 91 = -3(4x+1) + 6x\\57 = -12x - 3 + 6x\\6x = -60\\x= -10\\

Thus x = -10.

Hope that helps!

ryzh [129]3 years ago
3 0
X=-10
Look at the attached picture to see how to do it.

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4 years ago
Write an equation of the line that is perpendicular to the line y = 1 2 x + 8 that passes through the point (4,6)
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\large\boxed{y=-2x+14}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{1}{2}x+8\to m_1=\dfrac{1}{2}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{The equation of the searched line:}\ y=-2x+b.\\\\\text{The line passes through }(4,\ 6).

\text{Put thecoordinates of the point to the equation.}\ x=4,\ y=6:

6=-2(4)+b\\\\6=-8+b\qquad\text{add 8 to both sides}\\\\b=14

6 0
4 years ago
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