Find the measure of each numbered angle !! (You don’t have to answer for all of them, I just need at least one )
2 answers:
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Answer:
t ≈ -2.014 or 3.647
Step-by-step explanation:
Add the opposite of the expression on the right side of the equal sign to put the equation into standard form.
4.9t² -8t -36 = 0
You can divide by 4.9 to make this a little easier to solve.
t² -(8/4.9)t -36/4.9 = 0
Now, add and subtract the square of half the x-coefficient to "complete the square."
t² -(8/4.9)t +(4/4.9)² -36/4.9 -(4/4.9)² = 0
(t -4/4.9)² -192.4/4.9² = 0 . . . . simplify
Add the constant term, then take the square root.
(t -4/4.9)² = 192.4/4.9²
t -4/4.9 = ±(√192.4)/4.9
t = (4 ± √192.4)/4.9
t ≈ {-2.014, 3.647}
Answer:
Step-by-step explanation:
Let the given parabolic mirror opens upwards and vertex=(0,0)
Focus point of the parabolic mirror is located 2 inches from the vertex of the mirror. ∴ p=2
Since, the parabola opens upward, then the equation of the parabola is of the form
Substitute the value of p=2 in this, we get the equation of the parabolic mirror
Hence, the equation of the parabola that models the cross section of the mirror is