Answer:
<h3>The length is 35cm</h3><h3>The width is 5cm</h3><h3 />
Step-by-step explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
The length is seven times the width is written as
l = 7w
Area of the rectangle = 175 cm²
7w × w = 175
7w² = 175
Divide both sides by 7
w² = 25
Find the square root of both sides
w = √25
w = 5cm
But l = 7w
l = 7(5)
l = 35cm
The length is 35cm
The width is 5cm
Hope this helps you.
Step-by-step explanation:
You have to do first and second derivatives :
y = a sin 3x + b cos 3x
dy/dx = 3a cos 3x - 3b sin 3x
d²y/dx² = - 9a sin 3x - 9b cos 3x
Next, you have to compare it :
let d²y/dx² = ky,
-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)
-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)
Therefore, k is equals to 9.
Answer: f(12) = 137, f(-7) = 42
Step-by-step explanation: In a function, what you want to do is plug in the value they give you for x. This means you substitute x with the value they are looking for.
In this case, they are looking at 12 and -7. Let's do 12 first.
The equation becomes (12^2) - 7. 12^2 is 144, and 144-7 is 137.
Now we do -7. The equation becomes (-7)^2 - 7. -7^2 is 49, and 49 - 7 is 42.
Hope this helped!
Answer: Add 11 to the other side of the equation, giving you 81. Then, since x is square you are going to need to square root both sides (
this symbol). When you do that, you should get what x is! Let me know if you still need help!
