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elena55 [62]
2 years ago
13

You need to fill a football with air to play with it. You know that your pump expels air at speed of 8.2 ft/s. The needle of you

r pump has a radius of 4.5 millimeters. What is the volume flow rate of the air being pumped into the football?
Mathematics
1 answer:
abruzzese [7]2 years ago
8 0
Jjjjjjjjhjjjjhhhhjhhjjjjjhhhhhhh
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What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4? (–13,
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I added a screenshot of the complete question.

<u><em>Answer:</em></u>

(-7, -1)

<u><em>Explanation:</em></u>

<u>The formulas given to calculated the x and y coordinates are as follows:</u>

x = (\frac{m}{m+n})(x_{2}-x_{1}) + x_{1}\\\\y = (\frac{m}{m+n})(y_{2}-y_{1}) + y_{1}

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(x₁ , y₁) are the coordinates of the first point while (x₂ , y₂) are the coordinates of the second point.

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First point is J ..........> (x₁ , y₁) is (-15, -5)

Second point is K ....> (x₂ , y₂) is (25, 15)

m and n defined the portion of the partitioned segment (JE : EK). It is given that this ratio is 1:4. <u>Therefore:</u>

m = 1 and n = 4

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x = (\frac{1}{1+4})(25-(-15)) + (-15) = -7\\\\y = (\frac{1}{1+4})(15-(-5)) + (-5) = -1

Based on the above, the coordinates of point E are (-7, -1)

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