Answer:
x = 5
Step-by-step explanation:
You want to find x such that ...
x^2 +(x +1)^2 = 61
2x^2 +2x -60 = 0 . . . . . simplify, subtract 61
x^2 +x -30 = 0 . . . . . . . divide by 2
(x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.
The relevant solution is x = 5.
The answer is C. 60. If you add 14+19+16+11 it equals 60.
Answer:
max. height = 240
Step-by-step explanation:
Function should be h(t ) = - 16t² + 96t
find the zeros by solving h(t) = 0
- 16t² + 96t = 0 ( take out common factor - 16t )
- 16t(t - 6) = 0
equate each factor to zero and solve for t
- 16t = 0 ⇒ t = 0
t - 6 = 0 ⇒ t = 6
the maximum vertex is at the midpoint of the zeros
t =
= 3
h(3) = (- 16 × 3) + (96 × 3) = - 48 + 288 = 240 ← max. height
lDK
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