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Find ​(a) PQ to the nearest tenth and ​(b) the coordinates of the midpoint of PQ. ​P(​-6,​6), ​Q(​4,-1​)

User Porges
by
8.2k points

2 Answers

4 votes

Answer:


\Huge \boxed{\mathrm{a) \ 12.21}} \\\\\\\\ \huge \boxed{\mathrm{b) \ -1, \ (5)/(2)}}


\rule[225]{225}{2}

Explanation:

(a)

We can use Pythagorean theorem to solve for the length of PQ.


PQ=√(10^2 +7^2 )


PQ=√(149) \approx 12.2066

The length of PQ is approximately 12.21.

(b)

We can find the midpoint with the midpoint formula:


\displaystyle (x_1 + x_2 )/(2), \ (y_1+y_2)/(2)


\displaystyle (-6+4 )/(2), \ (6+-1)/(2)


\displaystyle (-2 )/(2), \ (5)/(2)


\displaystyle -1, \ (5)/(2)


\rule[225]{225}{2}

Find ​(a) PQ to the nearest tenth and ​(b) the coordinates of the midpoint of PQ. ​P-example-1
User Chevaughn
by
8.8k points
1 vote

Answer:

a) PQ = 12.2

b) M (-1, 2.5)

Explanation:

a) PQ

use pythagorean PQ =
√((6+4)^2 +(6+1)^2)

PQ =
√(149) = 12.2

b) Midpoint

Mx = (-6 + 4)/2 = -1

My = (6 + -1)/2 = 2.5

User Henoc Salinas
by
7.7k points

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