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3 years ago

Distance between (-5, -5) And (-9, -2)

1 answer:

5 0

$d = \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2} \\ d = \sqrt{(-9 - (-5))^2+(-2 - (-5))^2} \\ d = \sqrt{(-4)^2+(3)^2} \\ d = \sqrt{16 + 9} \\ d = \sqrt{25} = 5$

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Phoenix [80]

Let x be a random variable representing the length of a text messaging conversation, then
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3 years ago

How many complete rotations will the bowling ball make if it rolls straight down the center of the entire length of the lane. A.

jasenka [17]

<h3>Answer: C) 26 complete rotations</h3>

===========================================

Explanation:

The diameter of the ball is 8.5 inches. So d = 8.5

The circumference of the circle with this diameter is

C = pi*d

C = pi*8.5

C = 8.5pi

C = 26.7035375555132 approximately.

This is the rough distance it travels in one revolution or one full rotation.

--------------

1 revolution = 26.7035375555132 inches

(1/26.7035375555132) revolution = 1 inch

1 inch = (1/26.7035375555132) revolution

1 inch = 0.03744822190398 revolution

There are 12 inches a foot, so,

1 inch = 0.03744822190398 revolution

12*1 inch = revolution

12 inches = 0.44937866284776 revolution

1 foot = 0.44937866284776 revolution

Now multiply both sides by 60

1 foot = 0.44937866284776 revolution

60*1 foot = 60*0.44937866284776 revolution

60 feet = 26.9627197708657 revolutions

Round down to the nearest whole number to get 26

We can't round to 27 even though we're really close to it. This is because we are looking for the number of whole revolutions the ball makes.

Therefore, 60 linear feet correspond to 26 full rotations of the ball. There's a bit leftover, but it's not enough to make another full rotation.

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3 years ago

Find the solution set for x. x+17>65

scoray [572]

Answer:

Move all terms not containing

to the right side of the inequality.

Inequality Form:

x > 48

Interval Notation:

(48,∞)

Hope this helps

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3 years ago

Please help, refer to the picture for information.

aleksklad [387]

Answer:

Step-by-step explanation:

Using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (4, 1)

d = $\sqrt{(4+1)^2+(1-4)^2}$

= $\sqrt{5^2+(-3)^2}$

= $\sqrt{25+9}$ = $\sqrt{34}$ → b

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3 years ago

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andreev551 [17]

Hope this helps you.

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3 years ago

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