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:
The length of rectangle is
The width of rectangle is
Step-by-step explanation:
Let
x-----> the length of rectangle
y----> the width of rectangle
we know that
The area of rectangle is equal to


so
-----> equation A
-----> equation B
substitute equation B in equation A and solve for y

using a graphing calculator
The solution is

Find the value of x
----->
Answer:
a
Step-by-step explanation:
The answer is 12x+4 and 2(6x+2)
Hope it helps.