Answer:
C
Step-by-step explanation:
Given
The numerator is a difference of squares
x² - 16 = (x - 4)(x + 4)
= ← cancel the common factor (x + 4) on numerator/ denominator
= → C
Suppose a line parallel to side BC of triangle ABC intersects AB and AC at point D and E, respectively. Find the length of AE if
1 answer:
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Answer:
1.079 seconds
Step-by-step explanation:
You want to find t when H(t) = 15.
15 = -16t^2 +8t +25
10/16 = t^2 -1/2t . . . . . . subtract 24, divide by -16
10/16 + 1/16 = t^2 -1/2t +(1/4)^2 . . . . . add (1/4)^2 to complete the square
11/16 = (t -1/4)^2
t -1/4 = √(11/16) . . . . . take the positive square root
t = 1/4 +(√11)/4 = (1+√11)/4 . . . . use a common denominator
You would be 15 ft above the water at t = (1+√11)/4 ≈ 1.079 seconds.
