Answer:
<h3>
f(x) = 2(x - 6)² - 3 </h3>
Step-by-step explanation:
f(x) = a(x - h)² + k ← vertex form of parabola equation with vertex (h, k)
So:
f(x) = a(x - 6)² + (-3)
f(x) = a(x - 6)² - 3 ← vertex form of our parabola equation
Parabola goes through (8, 5) so if x=8 then f(x)=5
5 = a(8-6)² - 3
5 +3 = a(2)² - 3 +3
8 = 4a
a = 2
That means, the equation of a parabola with vertex (6, -3) and passing through the point (8, 5):
f(x) = 2(x - 6)² - 3
Answer:
C or D
Step-by-step explanation:
Total are of Rhode Island = 1500
Answer: 79 seconds.
Step-by-step explanation:1) we have to calculate the lenght of the baseball field.
perimeter of the baseball field=2(radius)+lenght of a semicircle.
2(radius)=2(175 ft)=350 ft
lenght of a semicircle=40% of a circumference=(40/100)(2πr)
Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=
=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,
2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.
10 ft------------------------1 second
789,82 ft----------------- x
x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s
