Answer:
13.86 ft/sec
Step-by-step explanation:
If we let x = distance batter has run at time t and D = distance from second base to the batter at time t, then we know
and we want
when he is halfway (at x = 45).
Using Pythagoras theorem

When x=45


Thus, when the batter is halfway to first base, the distance between second base and the batter is decreasing at the rate of about 13.86 ft/sec.
Answer:
The factored form of the equation is (x + 4)(x – 6) = 0.
Step-by-step explanation:
(x – 4)(x + 2) = 16
Foil the left side
x^2 +2x-4x-8 =16
Combine like terms
x^2 -2x-8 = 16
Subtract 16 from each side
x^2 -2x-8-16 =16-16
x^2 -2x-24 =0
Factor the left hand side
What two numbers multiply to -24 and add to -2
-6*4 =-24
-6+4 = -2
(x-6) (x+4) =0
Solving using the zero product property
x-6 =0 x+4=0
x=6 x=-4
Answer:
The equation of the line that passes through (0, -2) and has a slope of 0 is 
Step-by-step explanation:
We need to find the equation of the line that passes through (0, -2) and has a slope of 0?
The equation of line can be expressed in slope-intercept form
where
- m is slope
- b is y-intercept
We need to find slope and y-intercept for the equation.
We are given slope = 0 so, m = 0
Now, y-intercept can be found using slope m=0 and point (0,-2)

So, we get y-intercept: b = -2
Now, the equation of the line having slope m=0 and y-intercept b=-2 is:

So, the equation of the line that passes through (0, -2) and has a slope of 0 is 