Answer:
After 1 second, the ball will reach a maximum height of 16 feet
Step-by-step explanation:
The height of the ball after t seconds: h(t) = -16t^2 + 32t
The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola
t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second
then
h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16
After 1 second, the ball will reach a maximum height of 16 feet
Answer:
Step-by-step explanation:
The opposite side to angle B is 4. It is the line AC. AC is not connected in any way to <B
The adjacent side is one of the two sides making up <B. It is 3.
Tan(B) = opposite / adjacent
Tan(B) = 4/3
<B = tan-1(4/3)
<B = 53.13
<span>I have graphed the given coordinates of both pentagons. The reflection was across the y-axis where coordinates of Pentagon PQRST (-x,y) resulted to Pentagon P'Q'R'S'T' (x,y). The line of reflection between the pentagons was x = 0. Line of reflection is the midway between the pre-image and its reflection.</span>
Answer:
The value of b is -3 and m is 0.
Step-by-step explanation:
You have to substitute the coordinates into both equation in order to find m and b value :
Find m,

At (2,3),




Find b,

At (2,3),




Answer:
15 and 6
Step-by-step explanation: