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Vsevolod [243]
2 years ago
7

Solve.

Mathematics
1 answer:
Bas_tet [7]2 years ago
8 0

Answer:

No Solution

Step-by-step explanation:

We are given the equation:

\displaystyle \large{|x|-5=-20}

First, Add both sides by 5 which leaves us \displaystyle \large{|x|=-15}

By definition, an absolute value cannot be negative. There are no x-values that can equal to -15 because no matter what real numbers you put in or substitute, it will never become negative.

Hence, no solution.

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Answer:

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Step-by-step explanation:

The locations of the starting point, water station and ending point are (3, 1), (3, 7) and (3, 9), all expressed in miles. First we determine the distances between starting and ending points and between starting point and water station by the Pythagorean Theorem:

From starting point to ending point:

D = \sqrt{(3-3)^{2}+(9-1)^{2}} (Eq. 1)

D = 8\,mi

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d = \sqrt{(3-3)^{2}+(7-1)^{2}} (Eq. 2)

d = 6\,mi

The distance between the water station and the ending point is:

s = D-d (Eq. 3)

s = 8\,mi-6\,mi

s = 2\,mi

Hence, Aidan is 2 miles far from the ending point when he reaches the water station.

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3 years ago
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