3 years ago

HELP PLEASE URGENT !!!!!!!

1 answer:

Alex3 years ago

3 0

Formular for straight line: y = mx + c
Where
m = slope
c = constant

$m= { \frac{y_1-y_2}{x_1-x_2} } \\ m= { \frac{-1 - 0}{0 - 3 } } \\ m= { \frac{-1}{-3} } \\ m= { \frac{1}{3} }$

-1 = 1/3(0) + c
c = -1
y = 1/3x - 1

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2 years ago

Simplify <br><img src="https://tex.z-dn.net/?f=%20%20%5Csqrt%7B%20-%20180%7D%20" id="TexFormula1" title=" \sqrt{ - 180} " alt="

QveST [7]

Answer: $(6\sqrt{5})i$

This is the same as saying $6i\sqrt{5}$

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Work Shown:

$\sqrt{-180} = \sqrt{-1*36*5}\\\\\sqrt{-180} = \sqrt{-1}*\sqrt{36}*\sqrt{5}\\\\\sqrt{-180} = i*6*\sqrt{5}\\\\\sqrt{-180} = 6i\sqrt{5}\\\\\sqrt{-180} = (6\sqrt{5})i\\\\$

where $i = \sqrt{-1}$

As the steps show above, the idea is to factor the radicand into smaller pieces where one of those pieces is the largest perfect square possible. In this case, 36 is the largest factor of 180 that's a perfect square. Then I used the rule $\sqrt{A*B} = \sqrt{A}*\sqrt{B}$ to break up the root.