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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Answer:
$2756.01 to the nearest cent.
Step-by-step explanation:
A = P(1 + r)^t where A is the amount after t years, P = amount invested, r = rate as a decimal fraction.
So here, we have:
A = 1500(1 + 0.052)^12
= 1500 * 1.837337
= $2756.01
A=pR^2-2pr^2, since R=15 and r=7.5
A=225p-112.5p
A=112.5p
A≈353.25 ft^2
Answer:
A(-2,0) B(-4,0) C(-5,2) D(-1,2)
Step-by-step explanation:
the simplest fraction is: 3/5
in decimal form its: 0.6
