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MissTica
3 years ago
5

Which of the given pairs of expressions are equivalent? Select all that apply.

Mathematics
2 answers:
Artyom0805 [142]3 years ago
8 0

Answer:

sorry I don't know about this Question

qwelly [4]3 years ago
6 0
Can you put a picture of the pairs and answers
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Read 2 more answers
the value of k so that the line Containing the points (-8,k) and (-4,-8) is perpendicular) to the line containing the points (10
In-s [12.5K]

Answer:

k= \frac{-34}{3}

Step-by-step explanation:

<u>Step 1 :</u>-

<u>Perpendicular condition :-</u>

<u>Step 1:-</u>

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

m_{2} = \frac{-1}{m_{1} }

m_{1} m_{2} = -1

<u>Step 2:-</u>

The given points are (-8,k) and (-4,-8)

m_{1} = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

finding slope of the first line is m_{1}

using formula m_{1} = \frac{-8-k}{-4+8}

=  \frac{-8-k}{4}

finding slope of the second line is m_{2}

using formula m_{2} = \frac{--5+11}{5-10}

=  \frac{6}{-5}

<u>Step 3:</u>-

using perpendicular condition

The two lines are perpendicular and their slopes are

m_{1} m_{2} = -1

(\frac{-k-8}{4} )(\frac{-6}{5} )= -1

simplification,we get solution is

\frac{6(k+8)}{20} =-1

6 k+48 =-20

6 k = -20 -48

6 k = -68

\frac{-68}{6}

k= \frac{-34}{3}

<u>Final answer is </u>

k= \frac{-34}{3}

8 0
3 years ago
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