The path of the ball is the diagonal of the rectangle.
You can use the Pythagorean theorem.
a^2 + b^2 = c^2
64^2 + 48^2 = c^2
4096 + 2304 = c^3
6400 = c^2
c = 80
Answer: 80 meters
R + b = 146. Supposing that b=r+28,
r + (r+28) = 146, or 2r + 28 = 146.
Simplifying: 2r = 118. Then r = 59, and b = r+28 = 59+28 = 87 blue marbles
28 degrees. This is because the first angle is 12 degrees, the third is x degrees and the second is 5x. You know that in a triangle the angles add up to 180 degrees so 12 + 5x + x = 180. Then you get 6x =168 and x =28 degrees. (**x being the thrid angle**)
Answer:
x = 5 or x = 2 or x = 0 or x = -3 thus 0 is the smallest root
Step-by-step explanation:
Solve for x:
x (x - 5) (x - 2) (x + 3) = 0
Split into four equations:
x - 5 = 0 or x - 2 = 0 or x = 0 or x + 3 = 0
Add 5 to both sides:
x = 5 or x - 2 = 0 or x = 0 or x + 3 = 0
Add 2 to both sides:
x = 5 or x = 2 or x = 0 or x + 3 = 0
Subtract 3 from both sides:
Answer: x = 5 or x = 2 or x = 0 or x = -3