Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Reading a Cartesian Plane
<u>Algebra II</u>
- Distance Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point A(-2, 1)
Point B(1, -1)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:
- [Distance] [√Radical] (Parenthesis) Add/Subtract:
- [Distance] [√Radical] Evaluate exponents:
- [Distance] [√Radical] Add:
- [Distance] [√Radical] Evaluate:
- [Distance] Round:
Answer:
Step-by-step explanation:
The distance between two points A(x₁,y₁) B(x₂,y₂) is given by the formula as follows :
It is used to find the distance between two points. It is an application of the Pythagorean theorem. Usually, the distance covered is equal to the product of speed and time. But when speed and time in not given but coordinates are given, then only we can use this formula.
Answer:
24.5
Step-by-step explanation:
The mean is calculated as
mean =
The consecutive terms in the sequence have a common difference d
d = 7 - 2 = 12 - 7 = 17 - 12 = 5
This indicates the sequence is arithmetic with sum to n terms
= [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 5 , thus
= [ (2 × 2) + (9 × 5) ]
= 5(4 + 45)
= 5 × 49 = 245 , then
mean = = 24.5