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const2013 [10]
3 years ago
9

The lines below are perpendicular if the slope of the green line is 2/3 what is the slope do the red line

Mathematics
1 answer:
Julli [10]3 years ago
4 0
Hey there!

When we know the slope of the line and we want a perpendicular line, we follow a specific rule.

We use the <em>opposite of the reciprocal</em> of the slope given.

Therefore, slope of 3 would give -1/3, slope of 1/2 would be -2, and so on.

Therefore, if we were to have a slope of 2/3, we take the opposite of the reciprocal to get -3/2.

I don't think your answer is here. If the lines are perpendicular, that has to be the answer; but do let me know if I made a mistake and I'd be glad to talk to you about this problem :)

Hope this helps!
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A) 4a - 3b + 2c

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= (8 - 12 + 10 , -4 - 9 + 8 , 20 + 6 + 0) = (6, - 5, 26)

Answer: (6, - 5, 26)

b) magnitude of vector b

\sqrt{4^2+3^2+(-2)^2} = \sqrt{16+9+4} = \sqrt{29} ~ 5.4

c) vector of length 7 parallel to vector c

=> m(5,4,0) = (5m,4m,0)

=>    \sqrt{(5m)^2+(4m)^2+0}= \sqrt{25m^2+16m^2}= \sqrt{41m^2}=m \sqrt{41}=7

=> m = 7 / √41 ≈ 1.093

=> 1.093 (5, 4, 0) = (5.465 , 4.372, 0)

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Step-by-step explanation:

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