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Studentka2010 [4]
3 years ago
12

What is the distance between points (3,8) and (-9,-8)

Mathematics
1 answer:
kumpel [21]3 years ago
8 0
It is better to graph these points, to easily understand that the distance of the two points form the hypotenuse of the right triangle.  We need to use the Pythagorean theorem to solve for the distance of the two points.

a² + b² = c² ; a = x value ; b = y value

1) (3,8) and (-9,-8)
a = 3 - (-9) = 3 + 9 = 12 ⇒ 12² = 144
b = 8 - (-8) = 8 + 8 = 16 ⇒ 16² = 256 ⇒⇒ 144 + 256 = 400 ; c = √400 = 20

2) (2,6) and (5,2)
a = 2 - 5 = 3 ⇒ 3² = 9
b = 6 - 2 = 4 ⇒ 4² = 16 ⇒⇒ 9 + 16 = 25 ; c = √25 = 5

3) (21,16) and (9,11)
a = 21 - 9 = 12 ⇒ 12² = 144
b = 16 - 11 = 5 ⇒   5² =    25 ⇒⇒ 144 + 25 = 169 ; c = √169 = 13
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Answer:

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Step-by-step explanation:

2(-2) is -4 and -24+-4 is -28 so yeah

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Still don’t get it idk lol
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Answer:

XQ = 12

Step-by-step explanation:

In this question it asks for XQ instead of x, but you need to find x first.

1. Find x.

XQ is half of MQ so this statement is true: 3x - 3 = 2(2x - 6)

Solve for x.

3x - 3 = 2(2x - 6)

Distribute 2.

3x - 3 = 4x - 12

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Now solve for XQ, which the equation is given.

XQ = 2(9) - 6

XQ = 18 - 6

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Molodets [167]

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$26.4

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B

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B. 0 ≤ x ≤ 5,000

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