The time that the ball is in the air if the player lets the ball drop is 2.145 sec
What is a quadratic equation?
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax²+ bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
-16t²+32t+5
by comparing this equation to the standard form of the quadratic equation we get
a=-16 b=32 c=5
the time (t) needed for the ball to reach its maximum height using the axis of symmetry formula (x = -b/2a) for a parabola:
the time at which the ball reaches the maximum height using the axis of symmetry formula is (x=-b/2a)
t = -32/2×-16
t=1sec
by putting h(t) to zero and determining the time (t) when the ball hits the ground:
-16t²+32t+5=0
-16(t²+2t+5/16)=0
t²-2t-5/16=0
(t)²-2×1×t+(1)²-5/16=1
(t-1)²=21/16
t-1=√21/√16
t=1+4.58/4
t=1+1.145
t=2.245sec
Learn more about quadratic equations here:
brainly.com/question/1214333
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You have to do a system, lets say x are noble fir trees and y are douglas fir trees,
5x+3y=420
12x+9y=1080
if you solve this you get,
x=60 and
y=40
SO Noble fir trees cost $60 and Douglas fir trees cost $40.
Answer:
The two numbers would be 28 and 8.
<u>1</u><u>5</u><u> </u><u>inches</u> is the height of the pyramid
Step-by-step explanation:
The volume of a cube is a³
Given <em>a</em> = 5 inches
→ Volume = a³
= 5³
= 5×5×5
= <u>125 in²</u>
The volume of a pyramid is 
Given a = 5 inches , h = height of pyramid
then,
Hence, the height of pyramid is <u>1</u><u>5</u><u> </u><u>inches</u>
