Answer:
π
Step-by-step explanation:
The *period* of a function is the length it takes before it repeats. Usually, the period of the sine function is 2π; it takes a full rotation around the unit circle for it to repeat. When we replace the input x with -2x, this does a few things:
- Changes the rotation direction
- Makes the rotation go twice as fast
If we rotate around the unit circle twice as fast, it’ll take us half of 2π, or just π to complete a cycle.
Answer:
x=2
Step-by-step explanation:
When you sub in these values for the pythagorean theorem you get 1.5^2+x^2=2.5^2
2.25+x^2=6.25
4=x^2
x=2
Answer:
prime
Step-by-step explanation:
x^2 + 10x – 18
What two numbers multiply to -18 and add to +10
There are no numbers that multiply to -18 and add to 10
-1 *18 = -18 -1 +18 = 17
-2 *9 = -18 -2 +9 = 7
This cannot be factored
Answer:
305 degree
Step-by-step explanation:
As AD and CE are the diameters of circle P, so that they intersect each other at point P.
=> So that ∡CPA and ∡DPE are two vertical angles.
=> ∡CPA = ∡DPE = 93 degree
As we can see, ∡CPA = ∡CPB + ∡BPA =38 + ∡BPA
=> ∡BPA = ∡CPA - 38 = 93 - 38 = 55 degree
As P is the centre of the circle, so that ∡BPA is equal to the measure of the arc AB, equal to 55 degree.
In the circle P, the total measure of arc AEB and arc AB are 360 degree
=> arc AEB + arc AB = 360
=> arc AEB = 360 - arc AB = 360 - 55 = 305
So that the measure of arc AEB is 305 degree
