Do reflections have the same orientation? In other words, if a shape is reflected, do both figures still have the same orientati
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Using formula a^2- b^2 = (a-b)(a+b)
Answer: The length of the candle was 13.5 inches before it was lit.
Step-by-step explanation:
Let the length of candle in the beginning be c.
Constant rate of change in length of candle= -1.6 inches per hour
Since rate of change is constant so the length of candle can be represented by a linear function [Linear function has constant rate of change.]
Linear function : f(x)= mx+c , where x= independent variable.
m= constant rate of change and c= initial value of function.
Let x = Number of hours after the candle was lit.
Put m= -1.6 , x= 3 and f(x)= 8.7 , we get
Hence, the length of the candle was 13.5 inches before it was lit.
Answer: 153
Step-by-step explanation:
When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:
Where N! = N*(N - 1)*(N - 2)*...*2*1
In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).
Using the above equation we get:
There are 153 different ways in which the manager can do this.