(3^x-2)/9^x=1/3^x-2/9^x
which converges by thereom
it converges to 10/72=5/36
id show work if i could but take my word,
if u cant solve it try working out a few partial sums
Step-by-step explanation:
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Answer:
x = 13
Step-by-step explanation:
Here, we want to get the missing side
from what we have, the triangle is a right angled triangle
In this kind of triangle, the Pythagoras’ theorem works
The square of the side facing the right angle ( marked x here) is equal to the sum of the squares of the two other sides
We have this as;
x^2 = 5^2 + 12^2
x^2 = 25 + 144
x^2 = 169
x = √169
x = 13
We are given a relationship between the sides of a rectangle, that is, the length of one of its sides is 5 less two times its width, and we are asked to find an expression for the area. Let's remember that the area of a rectangle is equal to the product of the length of its side by its width. Let "w" be the length of the rectangle and "L" its lenght, then the area is given by the following formula:

We can use the relationship given in the problem, that is, its length being five less two times its width, that is:

Replacing in the formula for the area we get:

Now we use the distributive law: