Question

Math help 100 points

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Answer 1

Midpoint formula:
1. Point 1 (-2,2) Point 2 (4,-1)
Midpoint: (-2+4/2, 2-1/2)(2/2, 1/2)(1, 1/2)
2. Point 1 (-3,-5)Point 2 (2, 5)
Midpoint: (-3+2/2, -5+5/2)(-1/2, 0)
Distance between two points formula:

1. Point 1 (-2, 2)Point 2 (4, -1)





2. Point 1 (1, 2)Point 2 (4, 7)

Answer 2

Midpoint formula:

`( (x1 + x2)/(2) \: (y1 + y2)/(2) )`
1. Point 1 (-2,2)
Point 2 (4,-1)

Midpoint: (-2+4/2, 2-1/2)
(2/2, 1/2)
(1, 1/2)

2. Point 1 (-3,-5)
Point 2 (2, 5)

Midpoint: (-3+2/2, -5+5/2)
(-1/2, 0)

Distance between two points formula:


`\sqrt{(x2 - x1) {}^(2) + (y2 - y1) {}^(2) }`
1. Point 1 (-2, 2)
Point 2 (4, -1)


`\sqrt{(4 + 2) {}^(2) + ( - 1 - 2) {}^(2) }`

`\sqrt{6 {}^(2) + ( - 3) {}^(2) }`

`√(36 + 9)`

`√(45)`

`6.7`
2. Point 1 (1, 2)
Point 2 (4, 7)


`\sqrt{(4 - 1) {}^(2) + (7 - 2) {}^(2) }`

`\sqrt{3 {}^(2) + 5 {}^(2) }`

`√(9 + 25)`

`√(34)`

`5.8`