Answer:
or 
Step-by-step explanation:
One is given the following equation:
The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation. Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:
Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,
Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:
or 
or 
Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,
or
or 
Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.
or
or
3/4 can't be reduced anymore.
5x+ 10+ 15y
= 5*x+ 5*2+ 5*(3y)
= 5*(x+2+3y)
The final answer is 5(x+2+3y)~
Answer:
4+3n
Step-by-step explanation:
We get the formula 4+3n because the pattern is +3 each term starting with the first term as 7. Since the first term is 7, we get 4+3n.
Answer:
So, this triangle PQR can be broken into two right triangles, PNQ and PNR, with legs PQ = 39, PN =15, and QN = ? and PR = 17, PN = 15, and NR =? respectively.
Let's solve for what is easier first:
Since we know that 5-15-17 is a Pythagorean triplet, we can infer that NR is 5....like I said earlier, it is a right triangle, so this guess holds true.
Here comes the interesting part:
Now, we have one part of QR, which is QN.
The other part can be solved by using the Pythagorean theorem.
It is (39^2-15^2)^(1/2)..which gives you 36, the square root of 1296, which happens to be the difference between the squares of 15 and 39.
SO, QR = QN + NR
5+36 = 41
QR = 41.
Hope this helps!
