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Find the distance between the two points. Round to the nearest tenth if necessary.


(8, 8), (12, 11)


7

5

25

28


Find the distance between the two points. Round to the nearest tenth if necessary.


(–2, –6), (3, 9)


15.8

250

3.2

20

Verified Answer :

meerkat18


The distance formula is expressed as square root of the square of the difference of y's and the square of the difference of x's. 
In 1) d = square root of (11-8)^2 + (12-8)^2       d = 5
In 2) d = square root of (9+6)^2 + (3+2)^2       d = 5 square root of 10      d = 15.81

Answer:

1.

option B is correct

2.

Option A is correct.

Step-by-step explanation:

Using distance formula:

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

1.

Given the points:

(8, 8) and (12, 11)

then;

\(d = \sqrt{(8-12)^2+(8-11)^2} = \sqrt{(-4)^2+(-3)^2} = \sqrt{16+9} =\sqrt{25} = 5\)

Therefore, the distance between the two points is, 5 units.

2.

Given the points:

(-2, -6) and (3, 9)

then;

\(d = \sqrt{(-2-3)^2+(-6-9)^2} = \sqrt{(-5)^2+(-15)^2} = \sqrt{25+225} =\sqrt{250} = 15.8\)

Therefore, the distance between the two points is, 15.8 units

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