Answer:
This is the graph of a <u>parabolic</u> function.
- Without seeing the dropdown menu, I assume that is what the question is asking. It's parabolic: the shape is like an upside-down u or an upside-down v.
Michael Jordan's hang time is <u>.9</u> seconds.
- The parabola starts at 0 seconds, and ends at t = .9 seconds.
The maximum height is about <u>1</u> meter.
- The vertex or very top of the parabola is at h = 1.
For t between t = .5 and t = 1, the height is <u>decreasing/falling/going down.</u>
- I can't tell this one for sure unless I can see the dropdowns. But I can say that from .5 to 1, whatever it is, it's dropping or falling, because the height is getting less and less.
Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)
Answer:
- co-terminal
- reference
- 90°, 105°
- 2π, 7π/4
Step-by-step explanation:
For an explanation of vocabulary questions, consult a dictionary or vocabulary list
1) angles ending in the same place are "co-terminal."
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2) The acute angle between the terminal ray and the x-axis is the "reference angle."
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3) Multiply radians by 180°/π to convert to degrees.
a) π/2 × 180°/π = 180°/2 = 90°
b) 7π/12 × 180°/π = (7/12)(180°) = 105°
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4) To convert from degrees to radians, multiply by π/180°.
a) 360° × π/180° = 2π radians
b) 315° × π/180° = 7π/4 radians
The answer is c because y=mx+b