Answer:
y = -2x + 3
Step-by-step explanation:
y2 - y1/ x2 - x1
7 - (-5) / -2 - 4
-2
The slope is -2.
To find the y-intercept, you need to plug the coordinates into the equation.
y = -2x + b
7 = -2(-2) + b
7 = 4 + b
3 = b
y = -2x + 3
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
Circumference = 2πr
r = 9
Circumference = 2π(9)
Circumference = 18π
Circumference = 18(3.14)
Circumference = 56.52
Distance: 56.52 meters
There is no question. I’m sorry :(. Can you mark me as brainliest so I can help more people !!?
