I believe they are called opposites.
Here are the steps required for Simplifying Radicals:
Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.
Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.
Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.
Shorter version:
Step 1: Find the prime factorization of the number inside the radical.
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 4: Simplify the expressions both inside and outside the radical by multiplying.
Hi! so you would find x by adding the corners up to 180 degrees.
steps:
Add the corners
90+(2x+1)+(5x+5)
7x+96=180
then subtract 96 from 180
you’d get 7x = 84
then divide 7 on both sides and get x=12
Answer:
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Step-by-step explanation:
We know mean u = 38 standard dev. s = 2
We want P ( 37 < x < 41)
so
P( (37 - 38) / 2 < Z) = P(-0.5 < Z)
P( Z < (41 - 38)/2 ) = P( Z < 1.5)
Find P(Z < -0.5) = 0.3085
Find P(Z > 1.5) = 0.0668
so P(-0.5 < Z < 1.5) = 1 - P(Z < -0.5) - P(Z > 1.5)
P(-0.5 < Z < 1.5) = 1 - 0.3085 - 0.0668
P(-0.5 < Z < 1.5) = 0.6247
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
0.5 is above because that .5 of a change is keeping the water from freezing because it is still slightly babouche freezing point.
-13 is below because the number is a negative so is below 0 anyway and is below the freezing point.
100 is above because the number 100 is higher than 0 so it’s above freezing point.
5.5 is above because it is a larger number than the freezing point so the water would not freeze yet at this temperature.
-2.25 is below because it’s a negative number.
I think that’s what you meant not 100% sure but that’s how I would do it :)