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saw5 [17]
3 years ago
12

PLEASE HELP 25 POINTS What is −4√12+√75 in simplest radical form? Enter your answer in the box.

Mathematics
1 answer:
Ber [7]3 years ago
6 0

Answer: -3\sqrt{3}

This the expression -3*sqrt(3) or "-3 times the square root of 3"

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

Work Shown:

Factor each term inside the square root so that a perfect square is one of the pieces. Then break up the roots and simplify as shown below.

-4\sqrt{12} + \sqrt{75}

-4\sqrt{4*3} + \sqrt{25*3}

-4\sqrt{4}*\sqrt{3} + \sqrt{25}*\sqrt{3}

-4*2*\sqrt{3} + 5*\sqrt{3}

-8\sqrt{3} + 5\sqrt{3}

(-8+5)\sqrt{3}

-3\sqrt{3}

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Graph a line that contains the point (-5,-3) and has a slope of -2
Tpy6a [65]

Answer:

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Step-by-step explanation:

Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as -\frac{2}{1}

\frac{rise}{run} =\frac{-2}{1} and  \frac{rise}{run} =\frac{2}{-1} **

Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.

* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.

**Rise over run refers to the change in the y-axis and the change in the x-axis: \frac{rise}{run} =\frac{y-axis}{x-axis}. Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.

Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:

-2=-\frac{2}{1} = (1,-2) and (-1,2)

Then, using (-5,-3) and your new points, add them separately:

(-5,-3)+(1,-2)\\(-5+1,-3+(-2))\\(-5+1,-3-2)\\(-4,-5)

(-4,-5) is one point

(-5,-3)+(-1,2)\\(-5+(-1),-3+2)\\(-5-1,-3+2)\\(-6,-1)

(-6,-1) is another point. Connect the three points. You can check your work on the graph:

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To isolate the y variable, divide both sides by -3.

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Step-by-step explanation:

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