Answer: attached below
Step-by-step explanation:
It is a right triangle so,
a² + b² = x²
9² + 12² = x²
225 = x²
√225 = x
15 = x
Hope this helps :)
Answer:
The positive value of k that the function y = sin(kt) satisfies the differential equation y'' + 144y = 0 is +12
Step-by-step explanation:
To determine the positive values of k that the function y = sin(kt) satisfy the differential equation y''+144y=0.
First, we will determine y''.
From y = sin(kt)
y' = 
y' = 
y' = kcos(kt)
Now for y''
y'' = 
y'' = 
y'' = 
Hence, the equation y'' + 144y = becomes
+



∴ 
±
± 
∴
or 
Hence, the positive value of k that the function y = sin(kt) satisfies the differential equation y'' + 144y = 0 is +12
Answer: 32.5
Step-by-step explanation:
This is the answer on Khan Acadamy