We have that
<span>y = -x</span>²<span>+8x
we know that
when the ball hint the ground is the x-intercepts of the graph
the x-intercepts is for y=0
so
0=-x</span>²+8x--------> x²-8x=0----> x*(x-8)=0
the solution is
x=0
x=8
the x intercepts are the points (0,0) and (8,0)
the distance between the x intercepts points =[8-0]-----> 8 ft
the answer is
8 ft
see the attached figure
The answer to this question is on my profile
Sin (A + B) = sin A cos B + cos A Sin B
<span>Cos (A - B) = cos A cos B + sin A sin B </span>
<span>=> (SinACosB+ CosASinB) (CosACosB +SinASinB) </span>
<span>=>SinACosACos^2B+Sin^2ACosBSinB+Cos^2A... </span>
<span>=>SinACosA(Cos^2B+Sin^2B) +SinBCosB(Sin^2A+Cos^2A) </span>
<span>we know that Sin^2+Cos^2=1 </span>
<span>=>SinACosA(1)+SinBCosB(1) </span>
<span>=SinACosA+SinBCosB </span>
<span>Proved
</span>
Answer:
Coordinates of G = 
Step-by-step explanation:
Given: Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3).
To find: coordinates of G
Solution:
Midpoints of a side joining points 
are given by 
Diagonals of a parallelogram bisect each other.
So,
Midpoint of DF = Midpoint of EG
Midpoint of DF = 
Midpoint of EG = 
Let coordinates of G be 
Therefore,
So,
Coordinates of G =
Answer:
The independent variable is time, and the dependent variable is distance.
Step-by-step explanation:
The description tells you "the equation ... relate[s] the total distance, d, in miles to the time, t ...". This description, together with the fact that the equation is written "d = ..." tells you that "d" (distance) is the dependent variable, and "t" (time) is the independent variable.
