Answer:
x = 3 ± √5
Step-by-step explanation:
The expression (x - 3)² = 5 doesn't need completing the square to solve (this is the step after you finish completing the square):
Step 1: Square root both sides
x - 3 = ±√5
Step 2: Add 3 to both sides
x = 3 ± √5 = 0.76392, 5.23607
Answer:
WHere are the graphs
Step-by-step explanation:
:)
Answer:
D) Rotation of 180 degrees about its center.
Step-by-step explanation:
because when you turn that shape in 180 degres is going to be in the same coordinates.
From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x),
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft
b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.
c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.
