Answer:
A and B
Step-by-step explanation:
Parallel lines are lines which have the same slope. Perpendicular lines have negative reciprocal slopes.
For the options:
A. Both equations have 7/5 as the slope. They are parallel.
B. The slopes are 1 and -1. These are perpendicular.
C. The slopes are 9/2 and are parallel.
D. The slopes are 7/3 and -3/7. They are perpendicular.
The solution is A and B.
Answer:
32 miles
Step-by-step explanation:
Given data
Let the total distance be x miles
Marks speed= 16miles per hour
Trisha's speed= 12 miles per hour
Trisha has covered 8 miles and has (x-8) miles to finish line
We know that
Speed= distance/time
time= distance/speed
Hence the time taken for Mark to finish is
time= x/16---------------1
The time taken for Trisha to finish is
time= (x-8)/12-----------2
equate 1 and 2 above
x/16= (x-8)/12
cross multiply
16(x-8)= 12*x
16x-128= 12x
collect like terms
16x-12x= 128
4x=128
x= 128/4
x= 32 miles
Hence they will meet at exactly 32 miles along the way
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:
1
Step-by-step explanation:
4(4-w) = 3(2w+2)
Use distributive property:
16 - 4w = 6w + 6
+4w +4w
------------------------
16 = 10w + 6
-6 -6
-------------------------
10 = 10w
---- -----
10 10
1 = w
Hope this helped.
