Answer:
∠72°.
Step-by-step explanation:
If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

Cross multiply:

Divide both sides by '20':
x = 72°.
Therefore, the measure of the central angle of the arc is ∠72°.
Hey there! I'm happy to help!
Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept. We already have the slope, so our equation so far is y=3/2x+b. We just need to find the b for it to be complete.
To do this, we plug in a point on the line and solve for b. We have a point (-3,-4), so let's use it and solve.
-4=3/2(-3)+b
Undo parentheses.
-4=-9/2+b
Add 9/2 to both sides
b=1/2
Therefore, our equation is y=3/2x+1/2.
Have a wonderful day! :D
Answer:
1. 3
2. -2.5+3= .5
3. <__________________>
-5 -4 -3 -2 -1 0 1 2 3 4 5
^ ^ ^
Step-by-step explanation:
When you add 3 to -2.5, the result is a positive .5. I wasn't sure what the number line meant, so I did my best
Answer:
3 points
Step-by-step explanation:
in a function, an x-value must have only one y-value correlated with it.
So, you would need to remove either (-3, 2) or (-3, 3)
And, you would need to remove either (2, -2) or (2, -4)
<em>And, </em>you would need to remove either (1, 4) or (1, -4)
So--you need to remove 3 points in total for this to be a function.
[a y-value can have multiple x-values. the two points at -4 are allowed, and do not need to be removed for both of them to be there]
Answer:
4th graph
6th graph
3rd graph
Step-by-step explanation:
Linear = y = x + 3
it is 4th graph
when you substitute x = 0 y is 3
and when y = 0 x is -3
Quadratic = y = 3x^2
It is 6th graph
for both positive and negative values of x, y is rapidly increasing
Exponential = y = 3^x
it is 3rd graph
for x = 0 y value is 1 because 3^0 = 1
for positive values of x, y is exponentially rising
for negative values of x it is nearly almost touches zero