Double angle (or half angle, depending how you look at it) identities:
So we have
Note that when taking the square root, we should take into account that that could yield two possible solutions, but we know 
and 
, so it's also the case that 
.
Also, the reason we have equality in the last step can be explained like so:
(not unlike the process used to complete the square)
Answer:
Normally, Acceleration due to gravity is
or
Step-by-step explanation:
From the web
These two laws lead to the most useful form of the formula for calculating acceleration due to gravity: g = G*M/R^2, where g is the acceleration due to gravity, G is the universal gravitational constant, M is mass, and R is distance
80 = 5 x 4 x 4
they have 4 flavors of icecream
you get this by multiplying all the variables and how many different possibilities each variable can be
so,
5 different syrups (5)
4 different candy toppings (4)
from that you know 5 x 4 x ? = 80
so 5 x 4 = 20, and 20 x 4 = 80
so 4 different flavors of ice cream (4)
9514 1404 393
Answer:
A. 0 = −(x−6)^2+12
Step-by-step explanation:
The vertex form of a quadratic equation is ...
y = a(x -h)² +k . . . . . . for vertex (h, k) and scale factor 'a'
When the given vertex (h, k) = (6, 12) is used, we find the form of the equation to be ...
y = a(x -6)² +12
The ball will be on the ground when y = 0. Here, the vertical scale factor 'a' is -1, so the equation representing the ball being on the ground is ...
0 = -(x -6)² +12 . . . . . . matches choice A
Answer:
60%
Step-by-step explanation:
6 ÷ 10 = 0.6
Then, 0.6 can be made into a percentage by multiplying the decimal by 100 and then adding %.
0.6 x 100 = 60%
~Hope this helps!~
