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Alinara [238K]
3 years ago
14

The midpoint of a line segment with end points as (-10, y1) and (-6, 7) is (-8, 6). What is the value of y1?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0
The formulae for the midpoint are correct:

M ( (x₂-x₁)/2 , <span>(y₂-y₁)/2 )

You need to invert these to get x</span>₁ and y₁:
x₁ =2xm - x₂
y₁ =2ym - y₂

Try with the x to prove the formulae are correct:
x<span>₁ =2·(-8) - (-6) = -16 + 6 = -10  which is what we have!

Then, use</span> the other formula for y:
<span>y₁ =2 ·(6) - (7) = 12 - 7 = 5

Therefore y</span>₁ = 5
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Answer:

50/p increases from a small positive number to a big positive number.

Step-by-step explanation:

p is in the denominator. This means that p and the value of the expression 50/p are inverse proportional. So for a big value of p, 50/p has a small positive value. For a small value of p, 50/p has a high positive value.

what happens to the value of the expression 50/p as p decreases from a large positive number to a small positive number?

50/p increases from a small positive number to a big positive number.

For example

50/1000 = 0.05

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2 years ago
Three painters can paint three walls in three minutes. how many painters are needed to paint 27 walls in nine minutes?
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There is 3 variable, in this case, painters, walls and time(minutes). You need to find how many painters needed and provided information on the walls and time(minutes).

Increasing walls will cause more painter needed. It was reversed in time which was increased time will cause less painter needed.

In this case, you need to divide the variable walls with time since it reversed so: 27wall/9 minutes
It equal to : 3 walls/minute

Information provided is:
3 painters= 3 walls/3 minutes
Equal to : 3 paintes= 1 wall/minute

To make it 3 walls/minute, the painter needed will be:
(3 walls/minute) / (1 wall/minute) x 3 painters= 9 painters

Answer: 9 painters
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