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 equation is Y=-2/3x+2/3
Slope-intercept form of a line is y=mx+b where m= slope and b=y-intercept.
First step is to compare this line with the given line y=5x+2 to get the value of m.
After comparing we will get m=5.
Now slope of all parallel lines are equal which means if slope of this line is 5 then slope of the line which is parallel to this line will also be 5.
Point- slope form of a line is:

Given the line passes through (-6,-1). So, plug in x1=-6, y1=-1 and m=5 in the above equation. So,
y-(-1)=5(x-(-6))
y+1=5(x+6)
y+1=5x+30
y=5x+30-1
y=5x+29.
Answer:
p = 3
Step-by-step explanation:
Hey there!
In order to find what p equals, we must first simply the equation to the most, then solve
SIMPLIFY
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-2 (3p - 6) + 4(5p - 8) = 2(2p + 3) + 4
-6p + 12 + 20p - 32 = 4p + 6 + 4
Now that we expanded the equation, we can combine all like terms
14p - 20 = 4p + 10
10p = 30
Now that we simplified the equation to the most, now we solve the equation
SOLVE
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10p = 30
p = 30/10
p = 3/1
p = 3