Answer:
When we reflect over the y-axis, sign of the x-coordinate changes.
Step-by-step explanation:
Since we know when we'll reflect over y-axis, y-axis will work as a mirror. Y-coordinates will remain same but the only change that happens to any point on the graph is x coordinates.
In second quadrant x-coordinates are negative and in first quadrant positive, while y coordinates are positive in both first and second quadrant. So if we will reflect from first to second or second to first quadrant y-coordinates will remain same but x-coordinates will change..
In third quadrant x-coordinates are negative and in fourth positive, while y coordinates are negative in both third and fourth quadrant. So if we will reflect from third to fourth or fourth to third quadrant y-coordinates will remain same but x-coordinates will change.
Therefore, from above explanation we can conclude that when we reflect over the y-axis, sign of the x-coordinate changes.
Answer:

Step-by-step explanation:
Given:
Sam takes x minutes yo walk from home to library.
And takes 5 minutes more to walk from the library to school than from home to the library.
Express the total time taken for Sam to walk from home to school via the library in terms of x.
<u>Solution:</u>
Time taken by Sam to walk from home to library = 
Time taken by Sam to walk from library to school = 
Total time taken by Sam to walk from home to school via the library = Time taken to walk from home to library + Time taken to walk from library to school
Total time taken = 
Therefore, the total time taken for Sam to walk from home to school via the library is 
Answer: 5.83 units
Step-by-step explanation:
Sketching the data above,
Length of segment AD can be computed using Pythagoras rule ;
Where segment AD = hypotenuse
Segment AB = 3 = opposite
Sin Θ = opposite / hypotenuse
Sin 31° = 3 / hypotenuse
Hypotenuse × 0.5150380 = 3
Hypotenuse = 3 / 0.5150380
Hypotenuse = 5.8248120 units
Hypotenuse = 5.83 units
Y=|x|-0.75
If I'm wrong sorry
Your answer would be (11/4,-1/4)