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diamong [38]
3 years ago
12

What is the slope of a line perpendicular to the line: y = -2/3x + 5

Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0

1.5

Opposite reciprocal of -2/3

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

Use the formula "distance (d) = rate (r) x time (t)" to create a system of equations.

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Let "c" represent the current

                            time          rate      distance        <u>EQUATION</u>

Downstream:     4 hours     r + c       40 miles         4(r + c) = 40

Upstream:         10 hours    r - c        40 miles         10(r - c) = 40


Distribute, then eliminate r to solve for c:

Down: 4r + 4c = 40  →   5(4r + 4c = 40)  →   20r + 20c = 200

  Up: 10r - 10c = 40  → -2(10r - 10c = 40) → <u>-20r + 20c</u> =<u>  -80</u>

                                                                                40c = 120

                                                                              <u> ÷40  </u>  <u>÷40 </u>

                                                                                    c =   3

4 0
3 years ago
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