A^2 + b^2 = c^2
16^2 + 12^2 = c^2
256 + 144 = c^2
400 = c^2
sqrt 400 = c
20 = c <== the ladder is 20 ft long
Answer:
1.8148
Step-by-step explanation:
= 1.8148
A = -6
b = 48
Hope this helps :)
Answer:
x = 53
Step-by-step explanation:
Vertical angles are equal
so
3x - 10 = 149
3x = 159
x = 159 / 3
x = 53
Answer:
ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C
Step-by-step explanation:
dy/dx + 2y = 6
This is a first order linear ODE.
p(x) = 2
Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)
e^(2x)(dy/dx + 2y) = 6e^(2x)
e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx
Integrate both sides of the equation.
ye^(2x) = 3e^(2x) + C
Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.
