Answer:
x = —6
Step-by-step explanation:
3 = x + 9
Collect like terms
3 — 9 = x
— 6 = x
x = —6
Answer:
maria won the tournament
Step-by-step explanation:
sue finished at last
Answer:
y = (11x + 13)e^(-4x-4)
Step-by-step explanation:
Given y'' + 8y' + 16 = 0
The auxiliary equation to the differential equation is:
m² + 8m + 16 = 0
Factorizing this, we have
(m + 4)² = 0
m = -4 twice
The complimentary solution is
y_c = (C1 + C2x)e^(-4x)
Using the initial conditions
y(-1) = 2
2 = (C1 -C2) e^4
C1 - C2 = 2e^(-4).................................(1)
y'(-1) = 3
y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)
3 = -4(C1 - C2)e^4 + C2e^4
-4C1 + 5C2 = 3e^(-4)..............................(2)
Solving (1) and (2) simultaneously, we have
From (1)
C1 = 2e^(-4) + C2
Using this in (2)
-4[2e^(-4) + C2] + 5C2 = 3e^(-4)
C2 = 11e^(-4)
C1 = 2e^(-4) + 11e^(-4)
= 13e^(-4)
The general solution is now
y = [13e^(-4) + 11xe^(-4)]e^(-4x)
= (11x + 13)e^(-4x-4)
Answer:
d. p = 2*20 + 2*10
Step-by-step explanation:
You know to find the perimeter, just add side + side + side + side.
And two pairs of sides on a rectangle are congruent, so the missing side lengths based on the width and length, will be 20 & 10.
So add 20 + 20 + 10 + 10.
To simplify this, say 2*20 and 2*10. And then add them.
So it is D
Answer: y=-2x-4
Step-by-step explanation:
y=-2x+b
-10=-2(3)+b
-10=-6+b
-4=b
