The value of t at height 10 feet is 0.145076 or 1.29242.
A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0 with a ≠ 0 .
Given: h(t)=-16t²+23t+7
From function, let h(t)=10
10=-16t²+23t+7
-16t²+23t+7-10=0
-16t²+23t-3=0
Using discriminant method
t=[-b±√(b^2-4ac)]/2a
a=-16, b=23, c= -3
thus
t=[-23±√(23²-4(-16)-3))]/(-16*2)
we get,
t=0.145076 or 1.29242.
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