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ikadub [295]
2 years ago
11

The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph wi

th a tail wind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place.
Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
3 0

Answer:

540

Step-by-step explanation:

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A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t
konstantin123 [22]

Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

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The base is moved twice the distance the height moves up.

We called this distance x, so we have:

L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4

The new height (H+x) is

H'=H+x=6+4=10

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

6 0
3 years ago
Write the equation of the line that has a slope of 3 and goes through (-2,5)
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Answer:

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Dmitriy789 [7]

Answer:

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Step-by-step explanation:

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