Answer:
(-1, 0)
Step-by-step explanation:
y = 2x + 2
y = x + 1
Substitute one of the equations for the value of y.
x + 1 = 2x + 2
-x + 1 = 2
-x = 1
x = -1
Now, substitute this value for x in one of the equations.
y = 2(-1) + 2
y = -2 + 2
y = 0
So, the solution is (-1, 0)
Answer:
a. k = 24 b. y =
Step-by-step explanation:
a. Find the value of the constant k
Since is a solution of d²y/dt² -10dy/dt + ky = 0, then must satisfy the equation.
So, d²y/dt² = and dy/dt =
So, d²y/dt² -10dy/dt + ky = 0
- 10() + k() = 0
- + = 0
- + = 0
- = -
So, k = 24
b. Find the general solution to this equation.
Since k = 24, our equation is
d²y/dt² -10dy/dt + 24y = 0
The characteristic equation is thus
m² - 10m + 24 = 0
Factorizing this we have
m² - 6m - 4m + 24 = 0
m(m - 6) - 4(m - 6) = 0
(m - 6)(m - 4) = 0
m - 6 = 0 or m - 4 = 0
m = 6 or m = 4
Since we have real roots for the characteristic equation, then, the general solution is
y =
I think it's the same because the angle looks the same. So i think the answer is 32
When you multiply a fraction by a whole number, you leave the bottom (denominator) alone and just multiply the top (numerator)
The chances of raining both days would be 24%