Answer:
![\[y=-\frac{1}{2}x+\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D%5C%5D)
Step-by-step explanation:
Equation of the given line: ![\[y=2x-3\]](https://tex.z-dn.net/?f=%5C%5By%3D2x-3%5C%5D)
Slope of the line = ![\[2\]](https://tex.z-dn.net/?f=%5C%5B2%5C%5D)
Slope of the perpendicular line = ![\[-\frac{1}{2}\]](https://tex.z-dn.net/?f=%5C%5B-%5Cfrac%7B1%7D%7B2%7D%5C%5D)
So the equation of the perpendicular line:
![\[y=-\frac{1}{2}x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2Bc%5C%5D)
This passes through the point (-1,2).Substituting in the equation:
![\[2=-\frac{1}{2}*(-1)+c\]](https://tex.z-dn.net/?f=%5C%5B2%3D-%5Cfrac%7B1%7D%7B2%7D%2A%28-1%29%2Bc%5C%5D)
=>
=> ![\[c=\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5Bc%3D%5Cfrac%7B5%7D%7B2%7D%5C%5D)
So the equation of the line :
![\[y=-\frac{1}{2}x+\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D%5C%5D)
Answer:
4.5 inches
Step-by-step explanation:
We are given the formula:
V =
Plug in the the radius (3) and volume (127.23):
127.23 = 
Square the 3 :
127.23 = 
Multiply the pi & volume:
127.23 = 28.26h
Divide both sides by 28.26:
127.23 ÷ 28.26 = 28.26h ÷ 28.26
h = 4.5021231...
I hope this helps!
1. 6a + 2b
2. 9a + 4b
3. 12a + 6b
4. 15a + 8b
5. 18a + 10b
6. 21a + 12b
7. 24a + 14b
8. 27a + 16b
9. 30a + 18b
10. 33a + 20b
11. 36a + 22b
12. 39a + 24b
13. 42a + 26b
14. 45a + 28b
15. 48a + 30b
16. 51a + 32b
17. 54a + 34b
18. 57a + 36b
19. 60a + 38b
20. 63a + 40b
21. 66a + 42b
22. 69a + 44b
23. 71a + 46b
24. 74a + 48b
25. 77a + 50b
26. 80a + 52b
27. 83a + 54b
28. 86a + 56b
29. 89a + 58b
30. 91a + 60b
31. 94a + 62b
32. 97a + 64b
33. 100a + 66b
34. 103a + 68b
35. 109a + 70b
36. 112a + 72b
37. 115a + 74b
38. 118a + 76b
39. 121a + 78b
40. 124a + 80b
Basically, add 3 to every number in front of the a and 2 to every number in front of the b. Or just multiply.
Answer:
Distance between the points = 10 units
Step-by-step explanation:
Given points:
(0,-2) and (-8,-8)
To find the distance between the two points.
Solution:
Applying distance formula to find the distance between the points.
For points
and
the distance is given as:

Plugging in the given points in the formula.






Since distance is always positive. So
units.
Look at the problem and do it in order