Answer:
120°
Step-by-step explanation:
Opposite angles in a cross of 2 lines like this are equal;
A = 120 and B = D = 60°
Answer:
Please use " ^ " for exponentiation: x^2 + 2x + 8 ≤ 0.
Let's solve this by completing the square:
x^2 + 2x + 8 ≤ 0 => x^2 + 2x + 1^2 - 1^2 + 8 ≤ 0. Continuing this rewrite:
(x + 1)^2 + 7 ≤ 0
Taking the sqrt of both sides: (x + 1)^2 = i*sqrt(7)
Then the solutions are x = -1 + i√7 and x = -1 - i√7
There's something really wrong here. I've graphed your function, x^2 + 2x + 8, and can see from the graph that there are no real roots, but only complex roots. Please double-check to ensure that you've copied down this problem correctly.
Initially, Ball A of 10 kg will have velocity x, while Ball B of 30 kg has velocity -10 m/s.
After collision, Ball A will have a velocity of -30 m/s, while Ball B will have velocity 10 m/s. We assume their masses do not change.
(10 kg)(x m/s) + (30 kg)(-10 m/s) = (10 kg)(-30 m/s) + (30 kg)(10 m/s)
10x - 300 = -300 + 300
x = 30 m/s (to the right)
Answer:
Sara's number is 28
Step-by-step explanation:
Let's assign Sara's number the variable x and solve this equation using the information provided.
"If you subtract 14 from my number"
x - 14
"and multiply the difference by - 3"
-3(x - 14)
"the result is – 42."
-3(x - 14) = -42
Now we can solve from here for x.
-3(x - 14) = -42
x - 14 = 14
x = 28
The rocket was launched from a platform 80 ft above the ground.
