9.42 Units
Step-by-step explanation:
Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:
270/360; 360 being the total angle measurement of a circle
270/360 simplifies to 3/4
The fraction represents how much of the circle that arc covers
Now we have to find the circumference which would be
2(3.14)r
r = 2 therefore: 2(3.14)2 = 12.56
Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length
Which gives us 9.42
Answer:x=100
Step-by-step explanation:
Since you know that g(x)=3x-11 all you have to do is substitute that into g(x)=289. So you get 3x-11=289. To get x you have to add 11 on both sides.
3x-11=289
+11 +11
----------------
3x = 300
Divide 3 on both sides to get x by itself
3x =300
---- -------
3 3
x=100
Slope-intercept form: y = mx + b
[m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]
To find the slope, you use the slope formula:
And plug in the two points
(-6, 2) = (x₁ , y₁)
(1, 16) = (x₂ , y₂)
[two negatives cancel each other out and become positive]
m = 2 Now that you found m, plug it into the equation
y = mx + b
y = 2x + b To find b, plug in one of the points into the equation
(-6, 2)
y = 2x + b
2 = 2(-6) + b
2 = -12 + b Add 12 on both sides
14 = b
(1, 16)
y = 2x + b
16 = 2(1) + b Subtract 2 on both sides
14 = b
Now that you found b, plug it into the equation
y = 2x + 14
