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2 years ago

Simplify sqrt 363 -3 sqrt 27

1 answer:

5 0

If you have 2 of the same factor in a square root you take them out but just write one.

Looking at $\sqrt{363}$
$\sqrt{363} = \sqrt{3*11*11} =11 \sqrt{3}$

Looking at $3 \sqrt{27}$
$3\sqrt{27}=3 \sqrt{3*3*3} = (3*3)\sqrt{3} =9 \sqrt{3}$

Put them back together:
$11 \sqrt{3} -9 \sqrt{3} =2 \sqrt{3}$

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5/6(2x+12)-8=4-(x+1)

alekssr [168]

For this case we have the following equation:

$\frac {5} {6} (2x + 12) -8 = 4- (x + 1)$

We apply distributive property on the left side of the equation:

$\frac {5 * 2} {6} x + \frac {5 * 12} {6} -8 = 4- (x + 1)\\\frac {10} {6} x + \frac {60} {6} -8 = 4- (x + 1)$

We simplify the left side of the equation:

$\frac {5} {3} x + 10-8 = 4- (x + 1)$

Different signs are subtracted and the major sign is placed.

$\frac {5} {3} x + 2 = 4- (x + 1)$

On the right side we must take into account that:

$- * + = -$

So:

$\frac {5} {3} x + 2 = 4-x-1\\\frac {5} {3} x + 2 = 3-x$

We add x to both sides of the equation:

$\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3$

We subtract 2 from both sides of the equation:

$\frac {8} {3} x = 3-2\\\frac {8} {3} x = 1$

We multiply by 3 on both sides of the equation:

$8x = 3$

We divide by 8 on both sides of the equation:

$x = \frac {3} {8}$

Thus, the solution of the equation is:

$x = \frac {3} {8}$

Answer:

$x = \frac {3} {8}$

4 0

3 years ago

Dana has $25, she went to the store and spent $10. She then received $50 for a birthday present. Dana was excited until she real

MissTica

Dana:

Starts with 25 = 25

Spends 10 = 25 - 10 = 15

Received 50 = 15 + 50 = 65

New tires cost 75 = 65 - 75 = -10

Tracey:

Starts with 50 = 50

Gets gas for 25 = 50 - 25 = 25

Received 100 = 25 + 125 = 125

Purchased boots for 150 = 125 - 150 = -25

Tracey ends up with the least amount of money after their purchases.

Hope this helps! :)

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How to use a trigonometric function to find the value of X

Advocard [28]

Use your calculator to find the value of and the triangle to set up the ratio on the right. Solving the equation and rounding to the nearest tenth gives you . To find y, you can either use another trigonometric function (such as cosine) or you can use the Pythagorean Theorem.

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Answer:

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