proyaop

We can use difference of squares for the first equation to get:

\((a+b)(a-b) = 10\)

Then we can substitute our second equation in to get:

\((a+b)(2)=10\)

Dividing both sides by 2, we get:

\(a+b = 5\)

 remember that \(a^2 - b^2\) can be factorized into \((a+b)(a-b)\)

First we start by simplifying the parenthesis, we get:

\(-{9\over3} + 5 + (2 * 52)\)

Then we get:

\(-3 + 109\)

Thus, the answer is 106.

I personally got \(4+\sqrt{5}\) can someone double check?

Simplified to:

\(-i + 1\over4i - 1\)

Simplified with the difference of squares:

\((-i + 1)(4i + 1)\over(4i)^2 - 1\)

Simplified to:

\(-4i^2 + 4i - i + 1\over16i^2 - 1\)

Substituted to:

\(3i + 5\over-17\)

Thus, the expression is simplified to:

\(3i + 5\over-17\)

First we can see that the sum of the first n terms ends with a denominator of 32.

If the denominator multiplies by 2 every time, then we know the last term has a denominator of 32.

Thus n = 4.

This is true because the first term can be 8/32, second term is 4/32, third term is 2/32, and the fourth term is 1/32,

adding up the four terms is 15/32, so there are 4 terms, and that is the explanation why n = 4.

3 * (1) + 1 * (5) + 2 * (10) + 1 * (25) = 3 + 5 + 20 + 25 = 53 cents.

You have 53 cents or 0.53$.

96 people is 40% of the seats because when 96 people leave it changes a difference of 40%. 40% x 2.5 = 100%, so to get the number of seats you just do 96 x 2.5 = 240.

Thus, there are 240 seats in the theater.

I got 1 : 2 is that correct?

The answer is (10,2)

I got (-2,5) is that correct?