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1 year ago

What is the solution to the equation |x − 4| = 17?

1 answer:

andrey2020 [161]1 year ago

8 0

$~~~~~~|x-4| = 17\\\\\implies x -4 = 17~~~~ \text{or}~~~~~ x -4 = -17\\\\\implies x = 17+4~~~~\text{or}~~~~~ x = -17+4\\\\\implies x = 21~~~~~~~~~\text{or}~~~~~x = -13$

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$SA=lw+2\cdot\dfrac{lh_1}{2}+2\cdot\dfrac{wh_2}{2}\\\\SA=lw+2\!\!\!\!\diagup\cdot\dfrac{l\cdot\frac{\sqrt{l^2+4h^2}}{2}}{2\!\!\!\!\diagup}+2\!\!\!\!\diagup\cdot\dfrac{w\cdot\frac{\sqrt{w^2+4h^2}}{2}}{2\!\!\!\!\diagup}\\\\SA=lw+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw}{2}+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw+l\sqrt{l^2+4h^2}+w\sqrt{w^2+4h^2}}{2}$

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jeka94

Answer:

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Read 2 more answers

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We will have to use the formula for the area of a trapezoid on this problem, which is ( $b_1$ and $b_2$ are the bases of the trapezoid and $h$ is the height):

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All we need to do is substitute the information we are given into our formula:

$\dfrac{21 + b_2}{2} \cdot 4 = 68$

Now, let's just simplify the equation:

$\dfrac{21 + b_2}{2} \cdot 4 = 68$

$\dfrac{21 + b_2}{2} = 17$

$21 + b_2 = 34$

$b_2 = 13$

The missing base has a length of 13 units.

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3 years ago

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