Answer:
68 feet
Step-by-step explanation:
Vertical motion model:
h = -16t² + vt + s
Given v = 64 and s = 4:
h = -16t² + 64t + 4
This is a parabola. The maximum of a parabola is at the vertex.
For y = ax² + bx + c, the vertex is at x = -b/(2a).
Therefore, the time to reach the maximum height is:
t = -64 / (2 × -16)
t = 2
And the maximum height is:
h = -16(2)² + 64(2) + 4
h = 68
So the Frisbee reaches a maximum height of 68 feet.
Answer:
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Answer: 
Step-by-step explanation:
For this exercise it is important to know the definition of "Dilation".
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.
If the Dilation is centered at the origin, and knowing the scale factor of 
, you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.
Knowing that the point T has the following coordinates:
You get that the coordinates of the Image T' are the shown below:
Answer:
Step-by-step explanation:
Let the solution to
2x^2 + x -1 =0
x^2+ (1/2)x -(1/2)
are a and b
Hence a + b = -(1/2) ( minus the coefficient of x )
ab = -1/2 (the constant)
A. We want to have an equation where the roots are a +5 and b+5.
Therefore the sum of the roots is (a+5) + (b+5) = a+ b +10 =(-1/2) + 10 =19/2.
The product is (a+5)(b+5) =ab + 5(a+b) + 25 = (-1/2) + 5(-1/2) + 25 = 22.
So the equation is
x^2-(19/2)x + 22 =0
2x^2-19x + 44 =0
B. We want the roots to be 3a and 3b.
Hence (3a) + (3b) = 3(a+b) = 3(-1/2) =-3/2 and
(3a)(3b) = 9(ab) =9(-1/2)=-9/2.
So the equation is
x^2 +(3/2) x -9/2 = 0
2x^2 + 3x -9 =0.
Actually is close, like rounding anything above 5 is rounded up, 5 and below stays the same. It's 261,177 that means it is around 40,000 away from 300,000. Therefore is it closer
