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amid [387]
3 years ago
12

What is an equation of the line that passes through the point (3,-1) and is perpendicular to the equation y=-3x+2

Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0
If it is perpendicular then the slope of it will be:

-3 \times x = -1\\\\x = \frac{1}{3}

y = 1/3 x + b

-1 = (1/3)(3) + b

-1 = 1 + b

b = -2

The equation is:

y = \frac{1}{3}x - 2
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A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the
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Answer:

The wall is 10.5 foot far from the bottom of the ladder.

Step-by-step explanation:

Given:

Height of the ladder leaning against wall (Hypotenuse) = 20 foot.

Height from where the window is above from the ground (Leg1) = 17 feet.

To find the distance of the bottom of the ladder far from the wall (Leg2) = ?

Now, by using the pythagorean theorem:

Hypotenuse^{2} = (Leg1)^{2} + (Leg2)^{2}

20^{2} =17^{2}+(Leg2) ^{2}

400=289+(Leg2)^{2}

400-289=(Leg2)^{2}

111=(Leg2)^{2}

by squaring both sides

Leg2=10.535

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Therefore, the wall is 10.5 foot far from the bottom of the ladder.  

6 0
3 years ago
Multiply
Paraphin [41]

Answer:

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5 0
2 years ago
5. A bag contains 5 blue marbles, 4 yellow marbles and 1 red marble. What 1 point
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Step-by-step explanation:

Use nCr to figure this out, plug in the numbers and probabilities and solve

5 0
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Step-by-step explanation:

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*see attachment showing the line graph

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The average number of awakenings during the night for 45 ​-year-old women = 3

The difference = 5 - 3 = 2 times during the night.

6 0
3 years ago
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