Answer:
x = 15
Step-by-step explanation:
This involves the Secant and Segments Theorem.
8(19 + 8) = 9(9 + x)
216 = 81 + 9x
9x = 135
x = 15
Answer:
C = 5.
Step-by-step explanation:
First, you need to remember that:
For the function:
h(x) = Sinh(k*x)
We have:
h'(x) = k*Cosh(k*x)
and for the Cosh function:
g(x) = Cosh(k*x)
g'(x) = k*Cosh(k*x).
Now let's go to our problem:
We have f(x) = A*cosh(C*x) + B*Sinh(C*x)
We want to find the value of C such that:
f''(x) = 25*f(x)
So let's derive f(x):
f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)
and again:
f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)
f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)
And we wanted to get:
f''(x) = 25*f(x) = C^2*f(x)
then:
25 = C^2
√25 = C
And because we know that C > 0, we take the positive solution of the square root, then:
C = 5
9514 1404 393
Answer:
(a) (6a - 3a) + (-3+6)
Step-by-step explanation:
Assuming "properly grouped" means that parentheses are placed around each group of terms, the appropriate choice is the one that groups 'a' terms and constant terms:
(6a - 3a) + (-3 + 6)
Answer:
Step 3
Step-by-step explanation:
x^3=3
you need to root cube both side not divide both side by 3
You cannot just divide the cube (^3) by 3 to make it 1/