Answer:

Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The circumference of a circle is equal to

we have


substitute the values



step 2
Find the area of the circle
The area of the circle is equal to

substitute the values


If you go from point (-1, -3) to point (4, 4), you can find the slope of the line using the slope formula.

. So our slope is 7/5. The line goes through the y axis at -3/2, so putting that together we get an equation for the line that is

, choice D from above.
Vertical angles congruence theorem, then SAS
Answer:
No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)
Step-by-step explanation:
-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of water >height of glass.
#Volume of the golf ball:

#The volume of the water in the glass:

We then equate the two volumes to the glass' volume to determine the new height of the water:

Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
, x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) = 
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.