3 years ago

8 (3x - 1) = 2 (9 – 7x)

Mathematics

1 answer:

Leto [7]3 years ago

7 0

Answer:

8 (3x - 1) = 2 (9 – 7x)

24x - 8 = 18 - 14x

24x + 14x - 8 = 18 -14x + 14x

38x - 8 = 18

38x - 8 + 8 = 18 + 8

38x = 26

38x / 38 = 26 / 38

x = 13/19

Step-by-step explanation:

1. distribute both sides

2. add 14x to both sides

3. add 8 to both sides

4. divide both sides by 38 to get x

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netineya [11]

Answer:

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3 years ago

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nalin [4]

Answer:

10.95 miles

Step-by-step explanation:

$a = Park\ to\ Home\\\\b = Park\ to\ Football\ Field \\\\t_{h} = Park\ to\ Library\\\\t_{h} = \sqrt{a^{2} - 2^{2} } \\\\t_{h} = \sqrt{b^{2} - 10^{2} } \\\\b = \sqrt{12^{2} - a^{2} } \\\\-----------\\\\a^{2} - 2^{2} = 12^{2} - a^{2} - 10^{2} \\\\2a^{2} = 144 - 100 + 4 = 48 \\\\a = \sqrt{24} = 4.9\ miles \\\\-----------\\\\b = \sqrt{144 - 24} = \sqrt{120} = 10.95\ miles$