Answer:
Formula for the Arc length is given by:
As per the statement:
radius of circle(r) = 6 units
Angle (
) = 
radian
Use conversion:
= 
then;
substitute these given values we have;
Use value of 
or
Simplify:
Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units
Answer:
B and D
Step-by-step explanation:
A difference of squares has the form a² - b²
4p² - 9 = (2p)² - 3² ← is a difference of squares
q² - 36 = q² - 6² ← is a difference of squares
Answer:
below
Step-by-step explanation:
5x - 3y > 30
-3y > -5x + 30 divide by negative switches the inequality
y < 5/3x - 10 y is less than 5/3x - 10 so shade below the line
Answer: quotient is 2x^2 + 10x - 5
Solution:
The first polynomial is miswritten.
The right one is: 2x^3 + 4x^2 - 35x + 15.
So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)
The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.
So, in this case it is:
3 | 2 4 -35 15
---------------------------------
2 10 - 5 0
So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.
I like to show it in this other way:
| 2 4 -35 15
|
|
3 | +6 +30 -15
--------------------------------
2 10 - 5 0
Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
Answer:
- 20
Step-by-step explanation:
Total Change in enrollment = - 60
Period of time at which change occurred = 3 years
Average change per year :
Total change in enrollment / period at which change occurred
= - 60 / 3
= - 20
Average change of - 20 enrollments per year
