Answer:
the answer is 40
Step-by-step explanation:
micah is 40
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a = ( 0 , 7 ) & b = ( 3 , 1 )
First need to find the slope using the following equation :
![slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\](https://tex.z-dn.net/?f=slope%20%3D%20%20%5Cfrac%7By%28b%29%20-%20y%28a%29%7D%7Bx%28b%29%20-%20x%28a%29%7D%20%20%5C%5C%20)
![slope = \frac{1 - 7}{3 - 0} \\](https://tex.z-dn.net/?f=slope%20%3D%20%20%5Cfrac%7B1%20-%207%7D%7B3%20-%200%7D%20%20%5C%5C%20)
![slope = \frac{ - 6}{3} \\](https://tex.z-dn.net/?f=slope%20%3D%20%20%5Cfrac%7B%20-%206%7D%7B3%7D%20%20%5C%5C%20)
![slope = - 2](https://tex.z-dn.net/?f=slope%20%3D%20%20-%202)
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We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .
![y - y(0) = m \times ( \: x - x(0) \: )](https://tex.z-dn.net/?f=y%20-%20y%280%29%20%3D%20m%20%5Ctimes%20%28%20%5C%3A%20x%20-%20x%280%29%20%5C%3A%20%29)
![x(0) = x - coordinate \: \: of \: \: through \: \: point \\](https://tex.z-dn.net/?f=x%280%29%20%3D%20x%20-%20coordinate%20%5C%3A%20%20%5C%3A%20of%20%20%5C%3A%20%20%5C%3A%20through%20%5C%3A%20%20%5C%3A%20point%20%5C%5C%20)
![y(0) = y - coordinate \: \: of \: \: through \: \: point \\](https://tex.z-dn.net/?f=y%280%29%20%3D%20y%20-%20coordinate%20%5C%3A%20%20%5C%3A%20of%20%5C%3A%20%20%5C%3A%20through%20%5C%3A%20%20%5C%3A%20point%20%5C%5C%20)
![m = slope](https://tex.z-dn.net/?f=m%20%3D%20slope)
I choose point (( a )) to put in the equation.
![y - 7 = - 2 \times (x - 0)](https://tex.z-dn.net/?f=y%20-%207%20%3D%20%20-%202%20%5Ctimes%20%28x%20-%200%29)
![y - 7 = - 2x + 0](https://tex.z-dn.net/?f=y%20-%207%20%3D%20%20-%202x%20%20%2B%200)
![y - 7 = - 2x](https://tex.z-dn.net/?f=y%20-%207%20%3D%20%20-%202x)
Add sides 7
![y - 7 + 7 = - 2x + 7](https://tex.z-dn.net/?f=y%20-%207%20%2B%207%20%3D%20%20-%202x%20%2B%207)
![y = - 2x + 7](https://tex.z-dn.net/?f=y%20%3D%20%20-%202x%20%2B%207)
This the slope-intercept form .
Done...
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To start off, simplify the equation if needed:
3m>=21
Since both sides are divisible by 3, you can simplify for the equation to be
m>=7
Next is to find the domain of the line graph. Since the sign is more than or equal to (>=), the circle is closed.
And since m is MORE THAN OR EQUAL TO, the section starts at 7 (closed circle), and continues after. Therefore, your answer will be the third selection.
Well, the amount of degrees is 1,980, so plug that in so that the equation is 1980 = (n-2)180. Then, do order of operations. Divide 1980/180, which is 11. Then, just add 2. So, the polygon has 13 sides.
Answer:
Step-by-step explanation: