Use Pythagorean theorem.
[tex]|ON|^2+|MN|^2=|OM|^2\\\\x^2+x^2=8^2\\\\2x^2=64\ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=32\to x=\sqrt{32}\\\\x=\sqrt{16\cdot2}\\\\x=\sqrt{16}\cdot\sqrt2\\\\\boxed{x=4\sqrt2}
Answer: |MN| = 4√2.
Answer: x^2 -3
That's x squared minus three
Step-by-step explanation:
When you divide 2x^3 by 2x the 2's cancel, and x cubed becomes x squared.
In 6x divided by 2x, the X's cancel and 6 ÷2=3
BTW "cancels" means that a number divided by itself equals one, so it "disappears" from the expression
number of names(p) = 4 columns * 10 inches per column * 11 names per inch * page
number of names(p) = 4*10*11*p = 440*p
The algebraic expression for the number of names in p pages is 440*p
