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Mademuasel [1]
3 years ago
15

If line b is perpendicular to line a, and line cis

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0

Answer:

m = 1

Step-by-step explanation:

Lines b and c are parallel and thus have the same slope.  We need only find the slope of b or the slope of c, and will then have both.

                                        5

The slope of b is m = ----------  =  1

                                         5

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1. Which of the following coordinates for p will make line mn perpendicular to line op in the diagram below?
TiliK225 [7]
1. (3,2)....because when finding the slope, we find the the slope of mn and the slope of op are negative reciprocals.

2. y = 5x - 7.....slope here is 5....perpendicular line has a negative reciprocal slope...so the slope has to be -1/5

y= mx + b
slope(m) = -1/5
(-10,3)...x = -10 and y = 3
now we sub and find b, the y int
3 = -1/5(-10) + b
3 = 2 + b
3 - 2= b
1 = b
so ur perpendicular equation is : y = -1/5x + 1
5 0
3 years ago
Motion and rate of change derivatives. Attached is the question and where I am stuck, I would really appreciate the help :)
barxatty [35]

Answer:

A. 3 < t < 9

Step-by-step explanation:

When the particle is moving to the right, the velocity is positive.

To find the velocity, take the derivative of s(t) with respect to t.

s(t) = -t³/3 + 13t²/2 − 30t

s'(t) = -t² + 13t − 30

Find when the velocity is 0.

0 = -t² + 13t − 30

0 = t² − 13t + 30

0 = (t − 3) (t − 10)

t = 3, 10

Check the sign of s'(t) in each interval.

0 < t < 3, s'(t) < 0

3 < t < 9, s'(t) > 0

The particle moves to the right when 3 < t < 9.

4 0
4 years ago
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