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NeX [460]
1 year ago
15

Write the length of the segments that connect each pair of points, in units.

Mathematics
1 answer:
MArishka [77]1 year ago
4 0

The lengths of each of the segments connected by the given pairs of points are:

1. AB = 10 units

2. CD = 17 units

3. EF = 3 units

<h3>How to Find the Length of Segments Connected by Two Points?</h3>

To find the length of a segment connected by two coordinate points, the distance formula is applied, which is:

d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}.

1. Find the length of segment AB:

A(5,-3)

B(-3,3)

AB = √[(−3−5)² + (3−(−3))²]

AB = √[(−8)² + (6)²]

AB = √100

AB = 10 units

2. Find the length of segment CD:

C(-2, -7)

D(6, 8)

CD = √[(6−(−2))² + (8−(−7))²]

CD = √(64 + 225)

CD = 17 units

3. Find the length of segment EF:

E(5,6)

F(5,3)

EF = √[(5−5)² + (3−6)²[

EF = √(0 + 9)

EF = √9

EF = 3 units

Learn more about lengths of segments on:

brainly.com/question/24778489

#SPJ1

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Answer:

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Step-by-step explanation:

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\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}

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2)

A: 5

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I haven't done algebra in a year, so don't think my answers are perfect!

definitions:

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constant terms: variables that can be solved.

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Best of Luck!

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