What is the equation of the straight line shown below?

Mathematics

1 answer:

Studentka2010 [4]2 years ago

4 0

Answer:

y = x/2 + 8

Step-by-step explanation:

Finding m :

⇒ m = 9 - 8 / 2 - 0

⇒ m = 1/2

C is equal to 8, because it intersects the y-axis at the point (0, 8).

Hence, the equation of the line will be :

⇒ y = mx + c

⇒ y = (1/2)x + (8)

⇒ y = x/2 + 8

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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.