Answer:
Option A Center (5,-4) radius 7
Step-by-step explanation:
x^2 +y^2 - 10x +8y - 8= 0
Center(-g,-f)
2gx = - 10x
g = - 5
2fy = 8y
f = 4
Center (5,-4)
Radius = square root of (g^2+f^2 - c)
r = square root of (5^2 + - 4^2 - (-8))
r = square root of (25+16+8)
r = square root of 49
r = 7
A is your answer! 7/8 is very likely, but not certain. There is a 12.5 % chance that it can occur. I hope I helped!
It would be 0.125 for the first answer
Answer:
t = 2.5 s
Step-by-step explanation:
h(t)=-16t^2 +80t+96
height will be greatest when the derivative (velocity) is zero
h'(t) = v(t) = -32t + 80
0 = -32t + 80
32t = 80
t = 80/32 = 2.5 s
notice that 0 = -32t + 80 is just a version of the kinematic equation
v = u + at
where v is final velocity at the top of the arc or zero
u is the initial upward velocity or 80 ft/s
a is gravity or -32 ft/s²
t is time in seconds
