Hello!
10 seconds to return to the ground.
7 seconds to reach 576 feet above the ground.
Find the amount of time taken to reach the ground by setting the equation equal to 0:
0 = -16t² + 80t + 800
Factor out -16 from the equation:
0 = -16(t² - 5t - 50)
Factor the terms inside of the parenthesis:
0 = -16(t - 10)(t + 5)
Find the zeros:
t - 10 = 0
t = 10
t + 5 = 0
t = -5
Time can only be positive in this instance, so the correct answer is 10 sec.
Find the time by substituting in 576 for the height:
576 = -16t² + 80t + 800
Subtract 800 from both sides:
-224 = -16t² + 80t
Rearrange:
0 = -16t² + 80t + 224
Simplify:
0 = -16(t² - 5t - 14)
0 = -16(t - 7)(t + 2)
t = 7 seconds.
Answer:
y = -2x +15
Step-by-step explanation:
The point-slope form of the equation for a line through (h, k) with slope m is ...
... y - k = m(x - h)
For your point (h, k) = (5, 5) and slope m = -2, the equation in point-slope form is ...
... y - 5 = -2(x - 5)
Simplifying, we get
... y - 5 = -2x +10
Adding 5 puts the equation into slope-intercept form, as you want.
... y = -2x +15
1/3 into a decimal is 0.333.....
Answer:
there isnt any image
Step-by-step explanation:
X intercepts are where the y value is 0. So, set y=0 and solve
0=x^2-9x+18
0=(x-6)(x-3)
x=6,3
The x intercepts are (6,0) and (3,0)
if you want to check, try these (x, y) pairs in the original equation.
