Answer:
x = 21°
Step-by-step explanation:
Vertical angles have the same measures, therefore:
3x - 30 = 2x - 9
x - 30 = -9
x = 21°
Sin 2 x + 2 sin x = 0
2 sin x cos x + 2 sin x = 0 / : 2
sin x cos x + sin x = 0
sin x ( cos x + 1 ) = 0
sin x = 0, cos x + 1 = 0, cos x = - 1;
Answer:
x = 0, or x = π
Hi there!
I'm just gonna answer this and explain as I'm doing it.
So we have (3x10)x8= __x(10x8)
Well, first we look at what they did. They couldn't have changed the equation, but just moved things around.
Now, assuming you know your properties, I'm gonna go ahead and answer it.
(3x10)x8=3x(10x8)
^^
I used the Associative property, which basically says that when 3 or more #s are multiplied, the answer doesn't change no matter how you group the numbers. See how they just moved the numbers around, and only swapped the 3 for the 8?
Hope this helped!
Answer: First option.
Step-by-step explanation:
You know that the following function model the height "h" of the ball (in feet) after a time "t" (in seconds):
Notice that it is a Quadratic function, therefore, it is a parabola.
Then, the x-coordinate of its vertex will give you the time in seconds in which the balll reaches its maximum height and the y-coordinate of the vertex will give you the ball's maximum height.
You can find the x-coordinate of the vertex with this formula:

You can identify that:

Substituting values, you get:
FInally, you must substiute this value into the Quadratic function and then evaluate in order to find the ball's maximum height.
This is: