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2 years ago

Suppose two bicyclists start at the same location.

Mathematics

1 answer:

aliya0001 [1]2 years ago

7 0

Answer:

4 mi/h

Step-by-step explanation:

The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.

Their speed is (8 mi)/(2 h) = 4 mi/h.

_____

<em>Additional comment</em>

Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...

c² = a² +b² . . . square of hypotenuse is sum of squares of legs

c² = 1² +1² . . . . both legs are 1 in our example triangle

c² = 2

c = √2

That is, the hypotenuse is √2 times the leg length.

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Step-by-step explanation:

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3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_3%7Bx%5E%7B2%7D-x%20%7D%20%5C%2C%20dx" id="TexFormula1" title="\int\limits

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$\int\limits^4_3 {x^2-x} \, dx$

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3 years ago

Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when

Elza [17]

Answer: (13,-7)

Step-by-step explanation:

By using the formula $(x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )$

$(x_{m},y_{m})\\$ is the coordinates of the midpoint.

For finding the midpoint X variable do:

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For finding the midpoint Y variable do:

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Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.

x: 13

y: -7

(13,-7).

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3 years ago