Throwing a ball, shooting a cannon, diving from a platform and hitting a golf ball are all examples of situations that can be modeled by quadratic functions. ... In many of these situations you will want to know the highest or lowest point of the parabola, which is known as the vertex.
Answer:
C) 
Step-by-step explanation:
The formula for area is
A=pi * radius ^2
If the diameter is 40, the radius is 20
Therefore
Answer:
x = 6, y = 9
Step-by-step explanation:
One of the properties of a parallelogram is
The diagonals bisect each other, hence
2x = y + 3 → (1)
2y = 3x → (2)
Rearrange (1) in terms of y by subtracting 3 from both sides
y = 2x - 3 → (3)
Substitute y = 2x - 3 into (2)
2(2x - 3) = 3x ← distribute left side
4x - 6 = 3x ( add 6 to both sides )
4x = 3x + 6 ( subtract 3x from both sides )
x = 6
Substitute x = 6 into (3) for value of y
y = (2 × 6) - 3 = 12 - 3 = 9
Hence x = 6 and y = 9
Check the picture below
make sure your calculator is in Degree mode, since the angle is in degrees
Answer:
n = 4
Step-by-step explanation:
3 + 4n + n = 2n +15
3 + 5n = 2n + 15
5n - 2n = 15 - 3
3n = 12
n = 12 / 3
= <u>4</u>
