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natima [27]
3 years ago
13

Marcus has three dowels with the lens shown in the table complete the table to give each length in inches feet and yards

Mathematics
1 answer:
marin [14]3 years ago
6 0
Remember there are 3ft in a yard and 12in. in a foot.

To convert 5.5ft to yd, divide by 3.

To convert 2.5yd to ft, multiply by 3 to get 7.5ft.

To convert 7.5 ft to in, multiply by 12.

Just remember when converting to a larger quantity (yards, for example) to a small (feet, for example), you multiply, and from smaller quantity to larger, divide.
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PLEASE PLEASE HELP ME OUT ITS URGENT <br><br><br> What are the solutions to the quadratic equation?
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Answer: Choice C)  x = 4\pm2\sqrt{10}

This is the same as saying x = 4+2\sqrt{10} \ \ \text{ or } \ \ x = 4-2\sqrt{10}

=============================================================

Explanation:

First get everything to one side

x^2 + 13 = 8x + 37

x^2 + 13 - 8x - 37 = 0

x^2 - 8x - 24 = 0

Here we have a quadratic in the form ax^2+bx+c = 0

Note how a = 1, b = -8, c = -24

Those values are plugged into the quadratic formula below

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-8)\pm\sqrt{(-8)^2-4(1)(-24)}}{2(1)}\\\\x = \frac{8\pm\sqrt{160}}{2}\\\\x = \frac{8\pm\sqrt{16*10}}{2}\\\\x = \frac{8\pm\sqrt{16}*\sqrt{10}}{2}\\\\x = \frac{8\pm4*\sqrt{10}}{2}\\\\x = \frac{2(4\pm2\sqrt{10})}{2}\\\\x = 4\pm2\sqrt{10}

This shows the answer is choice C.

The plus minus breaks down that equation these two solutions

x = 4+2\sqrt{10} \ \ \text{ or } \ \ x = 4-2\sqrt{10}

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