Putting equation
0 = -16t² + 36t + 4
<span>0 = -8t² + 18t + 2 ← Complete the square to solve </span>
<span>-8(t² - 9t/2) = -2 </span>
<span>8(t² - 9t/4 + 81/64) = 2 + 81/8 </span>
<span>8(t - 9/8)² = 97/8 </span>
<span>(t - 9/8)² = 97/64 </span>
<span>t -</span><span> (t = 0) </span>
<span> (h = 0) at: </span>
<span>t = (9 + √97)/8 ≅ 2.356 seconds
hope it helps</span>
Y = x² + 4x + 4.. Since the coefficient of x² =1, is positive, then this parabola opens upward & has a minimum.
Its axis of symmetry is = -b/a = -4/1 = 4 (so x=4)
1) When x=4, y= 4²+4(4)+4 => y=36 so the VERTEX has a minimum is at (4,36)
2)FOCUS.: To be able to calculate the focus, rewrite the equation in a standard form: y-k =a(x-h)² & y = x² + 4x + 4 could be written y=(x+2)², this means that k=0 & h=-2.
Now p being the distance between the VERTEX & the FOCUS, we apply the formula (x-2)² = 4P (y-k) , but k=0 & h=2 then (x-2)² = 4P(y-0) then P =1/4
3) DRECTRICE : y=k-P = 0-1/4 ==> y=-1/4 is the directrix
Y=7 and x=7. hope thi helps
So, what we do here is divide 70 / 6.5
70 / 6.5 = 10.7692308 (approximately). Then, multiply this number by 8
10.7692308 x 8 = 86.15 (approximately). So, C. 86.15 is the correct answer!
Edward because they completed more days and miles !!
