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quester [9]
3 years ago
15

Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10).

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
8 0
Midpoint formula

for
(x1,y1) and (x2,y2)
the point is
((x1+x2)/2,(y1+y2)/2)

(8,2)
(6,10)
point is
((8+6)/2,(2+10)/2)
(14/2,12/2)
(7,6)
midpoint is (7,6)
Kipish [7]3 years ago
3 0
(8+6)/2,(2+10)/2 (7,6)
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
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The correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options

<h3>Solving inequality</h3>

From the question, we are to solve the inequality

The given inequality is

–3(2x – 5) < 5(2 – x)

First, clear the brackets

–6x + 15 < 10 – 5x

NOTE: This is one of the correct representations of the inequality

Collect like terms

-6x + 5x < 10 - 15

-x < -5

Divide both sides by -1 and flip the sign

x > 5

Representing this on a number line, we get a number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is pointing to the right.

Hence, the correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options

Learn more on Inequalities here: brainly.com/question/246993

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