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2 years ago

Somebody help and explain!!!

Mathematics

1 answer:

Maslowich2 years ago

4 0

Answer: The midpoint of segment PQ is the number 2.5

note: 2.5 as a fraction is 5/2; as a mixed number 2.5 converts to 2&1/2

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Explanation:

Apply the midpoint formula to get the midpoint of -8 and 6

We simply add up the values and divide by 2 and we get (-8+6)/2 = -2/2 = -1

So point Q is at -1 on the number line, which is exactly halfway from R to P

Focus on just points P and Q now. Apply the midpoint formula again

Q = -1

P = 6

(Q+P)/2 = (-1+6)/2 = 5/2 = 2.5

So the midpoint of segment PQ is 2.5

The decimal 2.5 can be written as the mixed number 2&1/2, showing that this new point is exactly halfway between 2 and 3.

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Answer:

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The unit vector for a nonzero vector, say u, in the direction of u is given by:

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Where;

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From the question;

u = (4, -4)

First let's calculate the magnitude of u as follows;

|u| = $\sqrt{(4)^2 + (-4)^2}$

|u| = $\sqrt{16 + 16}$

|u| = $\sqrt{32}$ = $4\sqrt{2}$

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û = $\frac{(4, -4)}{4\sqrt{2} }$

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Therefore, the unit vector is $(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )$

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Read 2 more answers

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Dima020 [189]

Answer:

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Step-by-step explanation:

Also

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