Answer:
± 27.33 ft
Step-by-step explanation:
For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:
(-50-0)/(-40-0) = 50/40 = 1.25
Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.
Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);
-0.8 = y/x
y = -0.8x
Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:
35^2 = x^2 + y^2
y = -0.8x
35^2 = x^2 + (-0.8x)^2
1225 = (x^2 + 0.64x^2)
1225 = 1.64x^2
x^2 = 1225/1.64 = 746.95
x = sqrt(746.95) = ± 27.33 ft
Answer:
24
Step-by-step explanation:
In order to find the volume of something you would have to multiply the width x the length x the height which is 3x2x4 which equals to 24.
Answer:
yes
Step-by-step explanation:
The other factor is (x+5), so the product is ...
(x^4 -1)(x +5) = x^5 +5x^4 -x -5 = P(x)
(x^4 -1) is a factor of P(x).
_____
It is not a <em>primitive</em> factor, because it can be factored as ...
x^4 -1 = (x^2 -1)(x^2 +1) = (x -1)(x +1)(x^2 +1)
The complete factorization of P(x) to real numbers is ...
P(x) = (x -1)(x +1)(x +5)(x^2 +1)
In a polynomial, each constant (regular number) has a degree of 0. For example, 8 is really 8x to the power of 0.
Answer:
2/3
Step-by-step explanation:
Hope this helps you