Algebra 1 - MathnMind
Algebra 1 - MathnMind
Algebra 1 - MathnMind
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11-5<br />
NAME ______________________________________________ DATE ____________ PERIOD _____<br />
Find the distance between each pair of points whose coordinates are given.<br />
Express answers in simplest radical form and as decimal approximations rounded<br />
to the nearest hundredth if necessary.<br />
1. (4, 7), (1, 3) 2. (0, 9), (7, 2)<br />
3. (4, 6), (3, 9) 4. (3, 8), (7, 2)<br />
5. (0, 4), (3, 2) 6. (13, 9), (1, 5)<br />
1<br />
1<br />
7. (6, 2), 4, 8. (1, 7), ,6<br />
1 1<br />
2<br />
1<br />
9. 2, , 1, 10. , 1, 2, <br />
2<br />
Practice<br />
The Distance Formula<br />
2<br />
2<br />
11. (3, 3), (23, 5) 12. (22, 1), (32, 3)<br />
Find the possible values of a if the points with the given coordinates are the<br />
indicated distance apart.<br />
13. (4, 1), (a, 5); d 10 14. (2, 5), (a, 7); d 15<br />
15. (6, 7), (a, 4); d 18 16. (4, 1), (a, 8); d 50<br />
17. (8, 5), (a, 4); d 85 18. (9, 7), (a, 5); d 29<br />
BASEBALL For Exercises 19–21, use the following information.<br />
Three players are warming up for a baseball game. Player B<br />
stands 9 feet to the right and 18 feet in front of Player A.<br />
Player C stands 8 feet to the left and 13 feet in front of Player A.<br />
19. Draw a model of the situation on the coordinate grid.<br />
Assume that Player A is located at (0, 0).<br />
20. To the nearest tenth, what is the distance between Players A<br />
and B and between Players A and C?<br />
21. What is the distance between Players B and C?<br />
C(8, 13)<br />
22. MAPS Maria and Jackson live in adjacent neighborhoods. If they superimpose a<br />
coordinate grid on the map of their neighborhoods, Maria lives at (9, 1) and Jackson<br />
lives at (5, 4). If each unit on the grid is equal to approximately 0.132 mile, how far<br />
apart do Maria and Jackson live?<br />
B(9, 18)<br />
© Glencoe/McGraw-Hill 670 Glencoe <strong>Algebra</strong> 1<br />
3<br />
3<br />
3<br />
16<br />
12<br />
8<br />
4<br />
8 4 O<br />
A(0, 0)<br />
4 8<br />
y<br />
x