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jekas [21]
3 years ago
8

Write the equation of the line perpendicular to y = *x+7 with a y-intercept of (0-1)

Mathematics
1 answer:
I am Lyosha [343]3 years ago
7 0

Answer:  y = -x - 1

<u>Step-by-step explanation:</u>

Use the Point-Slope formula: y - y_1=m_{\perp}(x-x_1)   where

  • (x₁ , y₁) is the given point (0, -1)
  • m_{\perp}\ \text{is the opposite reciprocal slope of the given line}\implies m_{\perp}=-1

Insert those values into the formula and solve for y:

y - (-1) = -1(x - 0)

y + 1 = -x

y      = -x - 1

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Solve the system by substitution.<br> - 8x + y = -32<br> - 3x – 10 = y<br> (,)
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Answer:

x=2,\:y=-16

Step-by-step explanation:

\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\

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5/3x+1/3x=26 2/3+7/3x<br>solve for X​
Marat540 [252]

Let's solve your equation step-by-step.

5 /3 x+  1 /3 x=  262 /3  + 7 /3  x

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Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that youneed to combine it a terms. Then you will get your answer.

Answer:  x=−262

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Answer: The coefficient of the 6/7xy is 6/7.

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