Answer:
Option A. 4 radians
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to

we have

substitute


step 2
Find the measure of angle 
we know that
The circumference of the circle subtends a central angle of 2π radians
so
using proportion
Find out the central angle by an arc length of 20 cm

Answer:
m= -7
Step-by-step explanation:
using the slope formula, plug in the variables and solve
m=rise/run
m=y2-y1 / x2-x1
(x1, y1) = coordinates of first point in the line
(x2, y2) = coordinates of second point in the line
Answer:
B
Step-by-step explanation:
x² + 9x
to complete the square
add ( half the coefficient of the x- term )² to x² + 9x
= x² + 2(
)x + (
)²
= x² + 9x +
← the value of c
= (x +
)² ← a perfect square
You wanna find a common denominator so put the problem like this
3 1/3.< You wanna take 3 (denominator)
And times it
By 5 then you wanna take the 5. - 2 2/5.< (deniminator) and times it by 3.
____ Your common denominator is 15
now it will look like this
3 1/15
-2 2/15
———-
Now subtract. You will need to borrow 1 from 3 since you cant subtract 2 by 1 so the 3 will become a 2 and the 1 will be come 11 and here you can subtract so this will be your answer.
2 11/15
-2 2/15
-———-
0 9/15
Thats your official answer 9/15 hope I helped :)
Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line
m =
= 