Answer:
Substitute y with y+10 and x with x-4.
Step-by-step explanation:
To shift every point in the plane 10 down you have to substitute y with y+10 and to shift every point in the plane 4 units right you have to substitute x with x-4.
Suppose the origin of function on the plane is (0,0) now we have to make the origin (4,-10).
first (x,y)=(0,0)
When we substitute x and y
(x-4,y+10)=(0,0)
x-4=0
x=4
y+10 = 0
y= -10
Now the origin is (4,-10).
Hence the function is shifted 10 units down and 4 units right.
6/11y=-18/22
Least Common Denominator is 11: 6/11y=-9/11
Multiply both sides by 11: 6y=-9
Divide both sides by 6: y=-9/6
Simplify: y= -3/2 OR -1.5
Answer:
x < -9 or x ≥ 6
Step-by-step explanation:
6 – x > 15 or 2x – 9 ≥ 3
Solve each inequality
6-x > 15
Subtract 6 from each side
6-x-6 > 15-6
-x > 9
Multiply by -1 remembering to flip the inequality
x < -9
Then the other inequality
2x – 9 ≥ 3
Add 9 to each side
2x -9+9≥ 3 +9
2x≥ 12
Divide by 2
2x/2 ≥ 12/2
x ≥ 6
Put back together
x < -9 or x ≥ 6
Answer:
32 km/hr
Step-by-step explanation:
Firstly, you need to find the speed of both trains in km/hr.
Paolo's train= (70km x 60hr)/35= 120 km/hr
Monika's train= 684km/4.5hr= 152 km/hr
Then find the difference in speed:
152-120=32 km/hr
