Answer:
see explanation
Step-by-step explanation:
Using the Addition/ Subtraction formulae for cosine
Consider the left side
cos(x - y) - cos(x + y)
= cosxcosy + sinxsiny - (cosxcosy - sinxsiny) ← distribute
= cosxcosy + sinxsiny - cosxcosy + sinxsiny ← collect like terms
= 2sinxsiny = right side ⇒ proven
Answer:
y = −1.4x + 7
Step-by-step explanation:
There are 3 steps to find the Equation of the Straight Line
1. Find the slope of the line
2. Put the slope and one point into the "Point-Slope Formula"
3. Simplify
The most used payment plan to avoid being in debt today is the 20% payment plan. In this payment , you divide your income into several parts.
20% for paying up debts, 10 % for savings, and 70% for everything else.
So, assuming that x is the minimum amount of money, we know that
$ 512 + $70 = 20% . X
$ 582 = 0.2 . x
$ 582 / 0.2 = x
x = $ 2910
Answer:
Therefore the required relationship is

Step-by-step explanation:
Given that, to begin a bacteria study a petri dish had 2200 bacteria cells every hours.
The growth of bacteria is in exponential.So we use the following formula

A= Total amount =y = the number of bacteria cell
P= initial value = 2000
r= rate of increase = 3.8%= 0.038
n = time = t
Putting the all values


Therefore the required relationship is
