The student made the mistake in Step 2.
It should be m∠o + m∠p = 180 (Supplementary angles)
If this is corrected, then, since m∠m + m∠n + m∠o = 180 from Step 1,
we have,
m∠m + m∠n + m∠o = m∠o + m∠p which is Step 3.
Cancelling m∠o both sides, we get,
m∠m + m∠n = m∠p which is Step 4.
Answer: This parabola has 0.3875 x-intercepts,
<span>representing the times when the dolphin's height above water is </span>
0 feet.
The x-intercept is the point where the graph crosses the x-axis, which is when the value is y=0.
The calculation for y=0 would be
<span>Y = -16x2 + 32x - 10
</span><span>0 = -16x2 + 32x - 10
</span>-8x2 + 16x - 5=0
-b +-√(b^2-4ac) /2a=
-16 +-√(16^2-4(-8)(-5)) /2(-8) =
-16+- √(256-160/ -16 =
-16+- √(96/ -16 =
-16+- 9.8/ -16 =
x1= 0.3875
x2= -1.6125