15
5x-2y=9......(1)
6x+ky=4......(2)
slope of eqn i= -5/-2
=5/2
slope of eqn ii = -6/k
since the line are perpendicular
5/2 * -6/k = -1
-30= -2k
k=15
Answer:
x = 6/4 or 1 1/2
Step-by-step explanation:
4x+3=9
Subtract the 3 from both sides
4x+3=9
-3 -3
4x = 6
Divide both sides by 4
x = 6/4 or 1 1/2
Answer:
[-2,7] is the solution of inequality .
Step-by-step explanation:
Given : inequality 2 | 5 - 2x | - 3 ≤ 15
To find: solution of inequality.
Solution : We have given that 2 | 5 - 2x | - 3 ≤ 15
.
On adding 3 both sides:
2 | 5 - 2x | - 3+3 ≤ 15
+3
2 | 5 - 2x | ≤ 18.
ON dividing both side by 2 and simplify
| 5 - 2x | ≤ 9.
On applying absolute rule, if | u | ≤ a,a> then -a ≤ u≤ a
-9≤5 - 2x ≤ 9.
5 - 2x ≤ 9 , 5 - 2x ≤ -9.
- 2x ≤ 9-5
- 2x ≤ 4
On dividing by -2
x ≥ -2.
For 5 - 2x ≤ -9.
- 2x ≤ -9-5
- 2x ≤ -14
On dividing by -2
x ≤ 7
Therefore , [-2,7] is the solution of inequality .
3.45 rounded to the nearest tenth is 3.5.
1.23 rounded to the nearest tenth is 1.2.
0.85 rounded to the nearest tenth is 0.9.
To find how much further Molly walked than her brother and sister combined, you'd have to combine the amount of miles Molly's brother and sister walked:
1.2 + 0.9 = 2.1
Next, you would have to subtract Molly's amount of miles walked with the combination of her brother and sister's miles walked:
3.5 - 2.1 = 1.4
So, Molly walked 1.4 more miles on her hike than her brother and sister had walked combined.
