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4 years ago

HURRY!!!!!!!!! Given P(5,10,8) and Q(7,11,10), find the midpoint of the segment PQ.

Mathematics

1 answer:

rusak2 [61]4 years ago

4 0

Answer:

$P_{m}=(6,10.5,9)$

Step-by-step explanation:

The mid point can be found with the formula

$P_{m}=(\frac{x_{1}+x_{2} }{2},\frac{y_{1} +y_{2} }{2} ,\frac{z_{1}+z_{2} }{2} )$

The given coordinates are $P(5,10,8)$ and $Q(7,11,10)$ .

Replacing coordinates in the formula, we have

$P_{m}=(\frac{5+7}{2},\frac{10+11 }{2} ,\frac{8+10}{2} )=(\frac{12}{2},\frac{21 }{2} ,\frac{18}{2} )\\P_{m}=(6,10.5,9)$

Therefore, the mid point of the segment PQ is $P_{m}=(6,10.5,9)$

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3 years ago

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

photoshop1234 [79]

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Step-by-step explanation:

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3 years ago

Find the midpoint of points A(8,-7) and B(3,-1) graphically

sukhopar [10]

Answer: (5.5, -4)

Step-by-step explanation:

You can use the midpoint formula to find the midpoint of point A and point B.

$M(\frac{x_{1}+x_{2} }{2}, \frac{y_{1} + y_{2} }{2})$

x₁ = 8

x₂ = 3

y₁ = -7

y₂ = -1

$M(\frac{x_{1}+x_{2} }{2}, \frac{y_{1} + y_{2} }{2})$

$M(\frac{8+3 }{2}, \frac{-7 +-1}{2} )$

$M(\frac{8+3 }{2}, \frac{-7 -1}{2} )$

$M(\frac{11 }{2}, \frac{-8}{2} )$

$M(5.5, -4 )$

Midpoint = (5.5, -4)

Hope this helps!

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3 years ago