Answer:

OR

Step-by-step explanation:
Vertex form of a parabola is given as:

Where (
) is the vertex and
are the points on the parabola.
We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).

First of all, putting the vertex in the vertex equation as given above:

Now, putting the values of
as 2, 3 and let us find the unknown variable
:

Therefore, the equation in vertex form can be written as:

OR

Answer:
39.53 ft^2
Step-by-step explanation:
We can find the area of the rectangle
A = l*w
= 12*3 = 36
And the area of the semicircle
A = 1/2 pir^2
The diameter is 3, the radius is 3/2
=1/2 pi* (3/2)^2
= 1/2 *3.14 * 9/4
3.5325
Add the two areas together
36+3.532539.5325
Rounding to the nearest hundredth
39.53 ft^2
Use b for bicycles b and t for tricycles.
We know that each bicycle has 2 wheels, and each tricycle has 3 wheels, and if the entire number of wheels is 57, that means the
equation would be: 2b + 3t = 57
We can "separate" b by calling it "25 - t" as an alternative,
2(25 - t) + 3t = 57, or
50 - 2t + 3t = 57,
or 50 + t = 57, so
t = 7 So there must be 18 bicycles and 7 tricycles.
CHECKING:You can check this out by multiplying 7 tricycles x 3 wheels, which is 21,
and 18 bicycles x 2 wheels, which is 36
36 + 21 = 57
Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .
Step-by-step explanation:
Since they're congruent you just compare the two and replace them. You have the answers on both sides, they're just split up. So look at one side, then the other, and see what you can find. Repeat.
Answer:
$0.28
Step-by-step explanation: