Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![5. 2x + 5y = 16; (-2, 4)
6. 2x - 3y = 4; (1, – 1)
%3D
Yes
No
7. y= 3x- 4x+2; (-3, 17) 8. x + y 169;(-2, 12)
No
No
In Exercises 9 to 18, find he distance between the point
whose coordinates are given.
9. (6, 4), (-8, 11)
7V5
10. (-5, 8), (-10, 14)
V61
11. (-4, -20), (–10, 15)
V1261
12. (40, 32), (36, 20)
4V10
13. (5, -8), (0, 0)
V89
14. (0, 0), (5, 13)
V194
15. (V3, V8), (V12, V27)
V38 – 12V6
16. (V125, V20), (6, 2V5)
V161 - 60V5
18. (а — b, b), (а, а + b)
Va? + b2
17. (а, b), (-а, - b)
2Va? + b?
19. (x, 4x), (-2x, 3x), given that x < 0
-XV10 (since x < 0, Vx? = -x)
ne
20. (x, 4x), (-2x, 3x), given that x> 0
of
XV10 (since x > 0, Vx2 = x)
%3D
ter
In Exercises 21 to 26, find the midpoint of the line
ons,
segment with the given endpoints.
22. (-5,-2), (6, 10) G.4)
21. (1,-1), (5, 5)
(3, 2)
23. (6,-3), (6, 11)
(6, 4)
24. (4, 7), (-10, 7)
(-3, 7)
(-3 5 5 57).
26](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b23cb64-9e10-487c-9c96-260aabaa2aef%2Fb9a40b84-8544-4a66-8d66-e48d45bc5edc%2F4s3it5_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
![Algebra And Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780135163078/9780135163078_smallCoverImage.gif)
![Introduction to Linear Algebra, Fifth Edition](https://www.bartleby.com/isbn_cover_images/9780980232776/9780980232776_smallCoverImage.gif)
![College Algebra (Collegiate Math)](https://www.bartleby.com/isbn_cover_images/9780077836344/9780077836344_smallCoverImage.gif)