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nasty-shy [4]
3 years ago
14

Work out the length of line segment PQ.

Mathematics
1 answer:
Anarel [89]3 years ago
6 0
<span>The length is:

the square root of [ (the difference in 'x' values)² + (the difference in 'y' values)² ]

D = √ [ (-2-6)² + (5-2)² ]

= √ [ (-8)² + (3)² ]

= √ (64 + 9) = √75 = 5√3 = <u>8.66</u> (rounded to 3 sig-figs)</span>
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Tigers basketball team scores 57.20 points per game. Ramon said that the tigers score 57.2 points per game. Is Ramon correct? Ex
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Can someone help me ​
Serga [27]
<h3>Answer:  B) 6 minutes</h3>

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

Explanation:

Let's find the slope of the table. This will tell us the rate of change.

m = slope

m = (y2-y1)/(x2-x1)

m = (25250 - 26375)/(2 - 1) .... I used the first two rows

m = -1125/1

m = -1125

The slope of -1125 means the plane's altitude is decreasing at a rate of 1125 feet per minute. This is the descent speed.

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This means y = mx+b turns into y = -1125x+27500

x is the number of minutes and y is the altitude at time x

As a way to check this, plug in various x values of the table. You should get corresponding y values that match the table. I'll let you do this part.

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

Now plug in y = 16250 and solve for x

y = -1125x+27500

16250 = -1125x+27500

-1125x+27500 = 16250

-1125x = 16250-27500

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x = -11250/(-1125)

x = 10

It takes 10 minutes after the descent period has started, for the pilot to get to 16,250 ft.

Since the pilot was contacted at the x = 4 minute mark, this means 10-4 = 6 minutes is the duration needed for the pilot to go from 23,000 ft to 16,250 ft.

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2 years ago
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