3/4 = 75/100 = 0.75
0.75 is a terminated decimal (does not continue forever)
0.75 is a rational number (it is a decimal)
1/3 = 33.33.../100
0.333333.... is a continuing decimal, and so it is a repeating decimal
1/3 is a repeating number
Nine to the fifth power is nine multiplied by nine five times so D. is the answer.
Answer: a. (2.5, 300°) and (-2.5, 120°)
b. (4, 270°) and (-4, 90°)
<u>Step-by-step explanation:</u>
Polar coordinates are written as (r, θ) where
- r is the radius
- θ is the angle
In the first graph, the radius is 2.5 and the angle is 300° --> (2.5, 300°)
You can also list the radius as -2.5 at angle 120° --> (-2.5, 120°)
↓
(300 - 180)
In the second graph, the radius is 4 and the angle is 270° --> (4, 270°)
You can also list the radius as -4 at angle 90° --> (-4, 90°)
↓
(270 - 180)
Answer: a = -2 and c = 7
Step-by-step explanation:
(this answer uses some basic calculus)
We know that
, and since
is a maximum of
, then
. That means
, so
. Then since
, we have
, so
.