Answer:
The answer is b : translate K to N and reflect across the line containing JK
Step-by-step explanation:
I just took the quiz
let length of one piece = x
length of other piece = 236-x
one piece is three times the length of the other
x=3(236-x)
x=708-3x
4x=708
x=177
so first piece is 177 inches long and second piece is (236-177)= 59 inches long
Multiple 6 with 3 and 1 with 2
2/18 = 19
Answer: A. 
B. A'(5) = 1.76 cm/s
Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.
A. Area of a circle is given by

So to find the rate of the area:


Using 

Then
![\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%3D2.%5Cpi.r.%5B%5Cfrac%7B726%7D%7B%28t%2B11%29%5E%7B3%7D%7D%5D)
![\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%3D2.%5Cpi.%5B3-%5Cfrac%7B363%7D%7B%28t%2B11%29%5E%7B2%7D%7D%5D.%5Cfrac%7B726%7D%7B%28t%2B11%29%5E%7B3%7D%7D)
Multipying and simplifying:

The rate at which the area is increasing is given by expression
.
B. At t = 5, rate is:




At 5 seconds, the area is expanded at a rate of 1.76 cm/s.
First of all, if you look at the question, you will notice that the two numbers involved are the same (that is; 4 and 4). However, there are two ways to solve this. But the easiest way is by using indices. In indices, whenever you are multiplying two numbers that are the same, the powers are added. And whenever you are dividing two numbers that are the same, the powers are subtracted. This is due to the fact that in indices, addition is related to multiplication and subtraction is related to division. An example is;
A⁵ × A³ = A⁽⁵⁺³⁾ =A⁸
A⁵ ÷ A³ = A⁽⁵⁻³⁾ =A²
Anyway, over to the question now;
4⁹÷4³
4⁽⁹⁻³⁾
4⁽⁶⁾
Therefore; 4×4×4×4×4×4=4096
So the answer is 4096. However, if you calculate 4⁹÷4³ on a calculator, you will still get 4096. Hope i helped. Have a nice day