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3 years ago

13

Which equation represents a line which is perpendicular to the line y = 5x - 8?

1 answer:

Mashcka [7]3 years ago

6 0

When two equations are perpendicular their slopes are 90° apart. In the equation y=5x-8 the slope is 5. The perpendicular slope is negative and the inverse of the given slope. So in this case the perpendicular line will have the slope = - 1/5

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3 years ago

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butalik [34]

<h2>Answer:</h2> $10.\text{ Option B is correct}$

<h2>Explanation:</h2>

Given the equation expressed as:

$2x+5=8x$

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

$\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}$

Step 3: Subtract 8x from both sides

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Step 4: Divide both sides by -6

$\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}$

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

$\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}$

Therefore the value of 12x is 10

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1 year ago

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aleksley [76]

Answer:

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12/2=6

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