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Eduardwww [97]
3 years ago
7

M is the midpoint of QR M = (-2,6) Q= (8,-10) R = ????

Mathematics
1 answer:
Zolol [24]3 years ago
4 0

Answer:

R = (-12, 22)

Step-by-step explanation:

Unfortunately it's not a straight line, so gonna need to put in some extra work. Basically think of it like breaking it into it's horizontal and vertical components then doubling them.

From Q to M you move 10 spaces to the left, so to go from M to R you will go another 10 to the left.  Similarly, you start at -10 for the y value and go up 16 to 6, and you  will need to go up another 16 to get to R.

So for x, 8 -10 = -2 then -2 - 10 = -12, so R's x value is -12

y we do the same thing.  Gonna do it in one step though.  -10 + 16 + 16 = 22

So R is (-12, 22)

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y = -2x + 12

Step-by-step explanation:

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What is the length of segment LP?
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In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:

LO/LP = LM/LN

22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
</span>
Cross-multiplying:
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Isolating x to one side of the equation by subtracting 22x and 360 from both sides:

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Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
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LP = 13.75

Therefore the value of LP is 13.75 in.

8 0
2 years ago
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