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Natasha_Volkova [10]

3 years ago

10

Two people start walking at the same time in the same direction. One person walks at 3 mph and the other person walks at 5 mph.

In how many hours will they be 1.5 miles apart?

1 answer:

11111nata11111 [884]3 years ago

6 0

Our equation is 1.5 = 5x + 3x, x being the hours. We can combine 3x and 5x, getting 8x, then we can divide both sides by 8, getting x = .1865

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Which value of w is the solution to the question? 2w-5=w+10

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Orlov [11]

Answer:

$x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z$

Step-by-step explanation:

Consider the equation

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Substitute

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This is quadratic equation, where

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Hence,

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Now, use the substitution again:

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$\sin x=-\dfrac{1}{2}\\ \\x=(-1)^k\sin^{-1}\left(-\dfrac{1}{2}\right)+\pi k,\ k\in Z\\ \\x=(-1)^k\cdot \left(-\dfrac{\pi}{6}\right)+\pi k,\ k\in Z\\ \\x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z$

2. When $u_2=3,$ then

$\sin x=3$

This equation has no solutions, because the range of $\sin x$ is $[-1,1]$ and 3>1.

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