An air traffic controller spots two planes at the same altitude flying toward each other. their flight paths form a right angle at point p. one plane is 150 miles from point p and is moving at 450 miles per hour. the other plane is 200 miles from point p and is moving at 450 miles per hour. what is the distance s between the planes as a function of time t?

The problem states that the paths of the two planes form a right triangle, therefore this means that the distance between the two is the hypotenuse. Given that information, we can use the hypotenuse formula for finding the distance formula:

c^2 = a^2 + b^2             ---> 1

Where c is the hypotenuse, in this case the distance between the two planes.

First let us find the value of a. We know that one plane is 150 miles from point P and this distance is decreasing by a rate of 450 miles per hour, therefore a is:

a = 150 – 450 t              ---> 2

We also know that the other plane is 200 miles away and this distance decreases by a rate of 450 miles per hour also, therefore b is:

b = 200 – 450 t              ---> 3

Substituting equations 2 and 3 to 1:

c^2 = (150 - 450 t)^2 + (200 – 450 t)^2

c^2 = 22500 – 135000t + 202500t^2 + 40000 – 180000t +  + 202500t^2

c^2 = 405,000 t^2 – 315,000 t + 62,500               (ANSWER)

answer:

payment just for service  

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payment for service including tax

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$

94.09

explanation:

service only with 20% tip  

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$

72.6

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1

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in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

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so technically the answer is  

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$

72.6

(

1

+

20

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$

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however, the intention of the question provider may have been that your answer is to be  

$

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1

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$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

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$

72.60

20% tip  

20

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add

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8

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related questions

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5