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3 years ago

Solve for x and y 9/x-4/y=8

1 answer:

7 0

You can solve 9/x-4/y=8 for x or for y but NOT at the same time.

Solving for x: 9/x-4/y=8 Mult all 3 terms by xy to eliminate the fractions.

9(xy)/x - 4xy/y = 8xy => 9y - 4x = 8xy, or 9y = 4x + 8xy = 4x(1+2y)

then 9y = x [ 4(1+2y) ]
9y
therefore x = ------------
4(1+2y)

Solve for y using a similar approach.

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I will give 5 points

ikadub [295]

Use the sum of cubes factoring rule

$a^3 + b^3 = (a+b)(a^2 - ab + b^2)$

to transform the left hand side into the right hand side.

$\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\$

$\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\$

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

8 0

2 years ago

6a + 2b, 9a + 4b, 12 + 6b Find the 40th term Show all work :)

Naily [24]

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.

8 0

3 years ago

On the first day of a family road trip, Tamara's family travels 540 miles,

konstantin123 [22]

Answer:

the right answer is 486 and if I am right can brainlist

6 0

2 years ago

What is 1.75rounded to the nearest cent mathematics

Stels [109]

The answer is the same as the question. 1.75

8 0

3 years ago

A semicircle is cut out of a rectangular paperboard 24in long and 18n wide, as shown below. What is the perimeter of the paperbo

svet-max [94.6K]

Answer:

Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in

Step-by-step explanation:

Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.

Length = 24 in

Width = 18 in

Radius of the semi circle = Half of the width of the paperboard = $\frac{18}{2}$ = 9 in

1) Circumference of the semi circle = π*radius

= 3.14*9

= 28.26 in

2) Perimeter of the paperboard that remains after the semicircle is removed

= Top + Left + Bottom + Right Circumference of the semi circle

= 24 + 18 + 24 + 28.26

= 94.26 in

5 0

3 years ago