Answer:
x = -3
y = 7
Step-by-step explanation:
y = -2x + 1
7 = -2x + 1
<u>-1 -1 </u>
6 = -2x
divide by -2
x = -3
<h2>Answer:</h2><h2>x=3 </h2><h2>p=3csc (β)sec(θ)</h2><h2>hope this helps! ;)</h2>
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:
x=29
Step-by-step explanation:
180-87=93
93=3x+6
-6 -6
--------------
93=3x
/3 /3
-------------
29=x
x=29
*all angles in a triangle add up to 180. So, 35+52=93. 180-93=87.
C=87
Ratios are not my thing sorry
