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katrin2010 [14]
2 years ago
6

What is the equation of the line parallel to the line that passes through the points (-4,2) and (12,6) and contains the point (-

4,1)?
Mathematics
1 answer:
max2010maxim [7]2 years ago
8 0

Answer:

no

Step-by-step explanation:

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The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya i
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Maya travels  4.19 feet/sec faster than Kelly !

Difference in distance is : 106.76-56.52 = 50.24 feet

<u>Step-by-step explanation:</u>

Here we have , The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. We need to find In one rotation of the carousel, how much farther does Maya travel than Kelly . Let's find out:

Kelly is riding on the inner ring, which has a radius of 9 feet

Total distance traveled by Kelly is circumference of circle with radius 9 feet i.e.

⇒ Distance = 2\pi r

⇒ Distance = 2(3.14) 9

⇒ Distance = 56.52feet

Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring .

Total distance traveled by Maya is circumference of circle with radius (8+9=17) feet i.e.

⇒ Distance = 2\pi r

⇒ Distance = 2(3.14) 17

⇒ Distance = 106.76feet

Therefore , Difference in distance is : 106.76-56.52 = 50.24 feet

Now , Speed of both is give by

⇒ Speed_k_e_l_l_y=\frac{56.52}{12} = 4.71 feet/sec   And ,

⇒ Speed_M_a_y_a=\frac{106.76}{12} = 8.90 feet/sec

Faster Maya travels = 8.90-4.71 = 4.19

So , Maya travels  4.19 feet/sec faster than Kelly !

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