Always remember that the sum of the 3 inside angles is always 180 degrees. That'll get you through the majority of these problems.
Answer:
(9 x - 7 y) (9 x + 7 y)
Step-by-step explanation:
Factor the following:
81 x^2 - 49 y^2
Hint: | Express 81 x^2 - 49 y^2 as a difference of squares.
81 x^2 - 49 y^2 = (9 x)^2 - (7 y)^2:
(9 x)^2 - (7 y)^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (9 x)^2 - (7 y)^2 = (9 x - 7 y) (9 x + 7 y):
Answer: (9 x - 7 y) (9 x + 7 y)
The population after 3 years would be 8.20 millions.
Step-by-step explanation:
Given,
Initial population = I = 4.2 million
Growing rate = r = 25%
If the initial population and growing rate is given, the formula to calculate the population (x) after n years would be:
![x = I * (1 + \frac{r}{100} )^{n}](https://tex.z-dn.net/?f=x%20%3D%20I%20%2A%20%281%20%2B%20%5Cfrac%7Br%7D%7B100%7D%20%29%5E%7Bn%7D)
By putting the values in the equation, we get
![x = 4.2 * (1 + \frac{25}{100} )^{n}](https://tex.z-dn.net/?f=x%20%3D%204.2%20%2A%20%281%20%2B%20%5Cfrac%7B25%7D%7B100%7D%20%29%5E%7Bn%7D)
The population after 1st year (x1) would be
![x1 = 4.2 * (1 + \frac{25}{100} )^{1}](https://tex.z-dn.net/?f=x1%20%3D%204.2%20%2A%20%281%20%2B%20%5Cfrac%7B25%7D%7B100%7D%20%29%5E%7B1%7D)
x1 = 5.25 million
Similarly,
![x2 = 4.2 * (1 + \frac{25}{100} )^{2}](https://tex.z-dn.net/?f=x2%20%3D%204.2%20%2A%20%281%20%2B%20%5Cfrac%7B25%7D%7B100%7D%20%29%5E%7B2%7D)
x2 = 6.56 million
![x3 = 4.2 * (1 + \frac{25}{100} )^{3}](https://tex.z-dn.net/?f=x3%20%3D%204.2%20%2A%20%281%20%2B%20%5Cfrac%7B25%7D%7B100%7D%20%29%5E%7B3%7D)
x3 = 8.20 million
Hence, the population after 3 years would be 8.20 millions.
But, if you are asking about the total population at that time. It would be
I + x1 + x2 + x3 = 24.21 million
Answer:
Step-by-step explanation:
you have to multiply the bracets by the factor
then add +1 to both sides
Equation :
![y=\frac{-3}{4}x-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-3%7D%7B4%7Dx-2)
yes, it's the same as b
Answer:
Concordat of 1801, agreement reached on July 15, 1801, between Napoleon Bonaparte and papal and clerical representatives in both Rome and Paris, defining the status of the Roman Catholic Church in France and ending the breach caused by the church reforms and confiscations enacted during the French Revolution .Step-by-step explanation: