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lana [24]
3 years ago
14

2/3x + 1/6 = -3/4x + 1

Mathematics
1 answer:
kupik [55]3 years ago
7 0
\frac{2}{3} x +  \frac{1}{6}  =  -\frac{3}{4} x + 1

First, simplify \frac{2}{3} x to \frac{2x}{3} / Your problem should look like: \frac{2x}{3} +  \frac{1}{6} =  -\frac{3}{4} x + 1
Second, simplify \frac{3}{4} x to \frac{3x}{4} / Your problem should look like: \frac{2x}{3} +  \frac{1}{6} =  -\frac{3x}{4} + 1
Third, multiply both sides by 12 (the LCM of 3 and 4) / Your problem should look like: 8x + 2 = -9x + 12
Fourth, subtract 2 from both sides. / Your problem should look like: 8x = -9x + 12 - 2
Fifth, simplify -9x + 12 - 2 to -9x + 10. / Your problem should look like: 8x = -9x + 10
Sixth, add 9x to both sides. / Your problem should look like: 8x + 9x = 10
Seventh, add 8x + 9x to get 17x. / Your problem should look like: 17x = 10
Eighth, divide both sides by 17. / Your problem should look like: x =  \frac{10}{17}

Answer as fraction: x = \frac{10}{17}
Answer as decimal: x = 0.5882

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PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW
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9514 1404 393

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Step-by-step explanation:

The area is given by the formula ...

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<em>Comment on the problem</em>

Since you are given the base and height, we presume you are intended to use the formula above. You are also given all three side lengths. If you use the appropriate formula with those, you find the area is about 15.6 square inches. (The height of this triangle is actually closer to 5.2 inches.)

The figure represents a geometry that cannot exist. With the given base and height, the side lengths should be 5, not 6.

8 0
2 years ago
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frosja888 [35]

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