X-4y=-12
4x-y=12
eliminate y's
multily 2nd equaiton by -4 and add to top one
x-4y=-12
<u>-16x+4y=-48 +
</u>-15x+0y=-60
-15x=-60
divide both sides by -15
x=4
sub back
x-4y=-12
4-4y=-12
minus 4 both sides
-4y=-16
divide both sides by -4
y=4
x=4
y=4
(x,y)
(4,4)<u>
</u>
Step-by-step explanation:
x² + 4x - 9
= (x + 2)² - 13
a = 2, b = -13.
1/3=2/6
5/6x2/6= 10/36
10/36 simplified is 5/18
Answer:
Length = 21
Width = 16
Step-by-step explanation:
We know that the formula for perimeter is:
P=2W+2L
And we also know that:
L=W+5
So then we put all that we know in the formula:
74=2W+2(W+5)
Now we expand the brackets and do some algebra:
74=4W+10 (-10)
64=4W (÷4)
16=W
Now that we know the width we can pop that into the length equation:
L=16+5
L=21
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!!
