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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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Step-by-step explanation:

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This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

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Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

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sin (54)= \frac{ x}{2.3}

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

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2.3* sin (54)=x

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Answer:

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