Answer:
![114.59\°](https://tex.z-dn.net/?f=114.59%5C%C2%B0)
Step-by-step explanation:
we know that
The circumference of a circle is equal to
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
In this problem we have
![r=3\ cm](https://tex.z-dn.net/?f=r%3D3%5C%20cm)
substitute
![C=2\pi (3)=6 \pi\ cm](https://tex.z-dn.net/?f=C%3D2%5Cpi%20%283%29%3D6%20%5Cpi%5C%20cm)
Remember that
subtends the arc length of the complete circle
so
by proportion
Find the measure of the central angle for an arc length of ![6\ cm](https://tex.z-dn.net/?f=6%5C%20cm)
![\frac{360}{6\pi } \frac{degrees}{cm} =\frac{x}{6} \frac{degrees}{cm} \\ \\x=6*360/(6\pi )\\\\ x=114.59\°](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7B6%5Cpi%20%7D%20%5Cfrac%7Bdegrees%7D%7Bcm%7D%20%3D%5Cfrac%7Bx%7D%7B6%7D%20%5Cfrac%7Bdegrees%7D%7Bcm%7D%20%5C%5C%20%5C%5Cx%3D6%2A360%2F%286%5Cpi%20%29%5C%5C%5C%5C%20x%3D114.59%5C%C2%B0)
Answer:
Equation: y = -3x -2
Graph: Attached below ↓↓↓↓↓
Step-by-step explanation:
The equation is y = -3x + b
We need B at this point.
Since we have a point given to us,( -2, 4)we can input the x and y
Solve:
4 = -3(-2) + b
4 = 6 + b
b = -2
So the equation we have is y = -3x -2
Let's graph the line.
We go 2 units below the x-axis, because the y-intercept is -2, and the slope is -3, so we go down 3 units, and to the right 1.
Picture attached:
-Chetan K
Answer: x=3
Step-by-step explanation: Subtract 2 from both sides and subtract 5x from both sides. Then you'll end up with 6 = 2x. Then divide through by 2 on both sides and you're left with x=3.
The answer is 9 :) hope you got it