Answer:
There are 24 possible outcomes.
Step-by-step explanation:
1. 1-2-3-4
2. 1-4-3-2
3. 1-4-2-3
4. 1-2-4-3
5. 1-3-2-4
6. 1-4-3-2
7. 2-4-3-1
8. 2-1-3-4
9. 2-1-4-3
10. 2-4-1-3
11. 2-3-1-4
12. 2-3-4-1
13. 3-2-1-4
14. 3-2-4-1
15. 3-1-2-4
16. 3-1-4-2
17. 3-4-1-2
18. 3-4-2-1
19. 4-3-2-1
20. 4-3-1-2
21. 4-2-3-1
22. 4-2-1-3
23. 4-1-2-3
24. 4-1-3-2
Hope this helps!!
Answer:
Step-by-step explanation:
Given expression is,
(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)
To prove this identity we will take the left hand side of the equation and will prove equal to the right side.
(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)
4x² - 4x + 1 + 4x - 2 = (2x - 1)(2x + 1)
4x² - 1 = (2x - 1)(2x + 1)
(2x - 1)(2x + 1) = (2x - 1)(2x + 1) [Since a² - b² = (a - b)(a + b)]
Answer:
The length of the rectangle 'l' = 20
The width of the rectangle 'w' = 14
Step-by-step explanation:
<u>Explanation</u>:-
Let 'x' be the width
Given data the length of a rectangular patio is 8 feet less than twice its width
2x-8 = length
The area of rectangle = length X width
Given area of rectangle = 280 square feet
x(2x-8) = 280
2(x)(x-4) =280
x(x-4) =140
x^2 -4x -140=0
x^2-14x+10x-140=0
x(x-14)+10(x-14)=0
(x+10)(x-14) =0
x = -10 and x = 14
we can choose only x =14
The width of the rectangle 14
The length of the rectangle 2x-8 = 2(14)-8 = 28 -8 =20
The length of the rectangle 'l' = 20
The width of the rectangle 'w' = 14
Answer:
6/8
Step-by-step explanation:
3?4=.75
6/8=.75
Use the point slope formula
plug in your numbers where 4=x1, 3=y1, 6=x2, and 7=y2
which equals 2
