1. First transformation is rotation rotation of 180 about the origin. This transformation has a rule:
(x,y)→(-x,-y).
If points E(-2,-4), F(-1,-1), D(-2,-1) are vertices of triangle EFD, then
- E(-2,-4)→E''(2,4),
- F(-1,-1)→F''(1,1),
- D(-2,-1)→D''(2,1).
2. Second transformation is translation 1 unit left with a rule
(x,y)→(x-1,y).
Then
- E''(2,4)→E'(1,4),
- F''(1,1)→F'(0,1),
- D''(2,1)→D'(1,1).
Answer: 1st: rotation of 180 about the origin; 2nd: translation 1 unit left.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Coordinate Plane
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (5, 7)
Point (-4, 3)
<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]:

- [√Radical] (Parenthesis) Simplify:

- [√Radical] Evaluate exponents:

- [√Radical] Simplify:

- [√Radical] Approximate:

We now that the probability that one randomly selected car will crash in the year is <span>0.047800478.
If a family has three cars, this means that the probability that some of their car will crash in the next year is : 3 * the probability that one randomly selected car will crash = 3 * </span><span>0.047800478. = 0.143401434</span>
Answer:10
Step-by-step explanation
Add all values and divide by the total amount of addends.
I Believe its 2/5
(just know im not too sure)