When you simplify the square root of a number, you are looking for factors of the number that are perfect squares that you can remove from under the radical. For example sq root of 8... it's not a perfect square but factors of 8 include 2 x 4... 4 is a perfect square so we can take it out of the radical by taking it's square root. Now you are left with 2* sq root of 2.
For sq root of 48
48 = 12 x 4
12 = 3x4 so we can say 48 = 3x4x4
so... sq root 48 = sq root 3x4x4
we have two 4's under the radical. Sq root x^2 = x so sq root 4^2 is 4
Pull it out from the radical and we are left with 4 * sq root 3
Answer:
m = 2/3
Step-by-step explanation:
slope is equal to rise/run
rise = y2 - y1 = 7 - 1 = 6
run = x2 - x1 = 3 - (-6) = 9
simplify 6/9 = 2/3
Answer:
$4.64
Step-by-step explanation:
1 cup = 16 tablespoons
cup = 8 tablespoons
Each lemon yields about 2 tablespoons of juice. You need 8 tablespoons for one lemon pie, so you need
lemons for one pie and
lemons for two pies.
The store is selling lemons at $0.58 each, hence, 8 lemons will cost

Answer:
Vertical angels, b is the same as the opposite angle, 86
Step-by-step explanation:
The inverse function theorem says

We have

defined on
, for which we get

and

The derivative of
is

So we end up with
