In this case, to flip any of the points to map
up accurately to the other points, we would have to do a transformation of reflection
about the y-axis. The reason behind this is that out of other transformation
process, we can only achieve the image of triangle ∆A’B’C’ through reflection.
Dilation will not work since it only changes
the size of the object. The shape and position will not affected.
A translation will not work because although
the shape can move, it still needs to flip to achieve triangle ∆A’B’C’.
A rotation will also not work because when you
rotate it, the shape will still not map over the new one.
<span>
<span>Therefore the only answer to this question would be to
reflect triangle ∆ABC about the y-axis.</span></span>
If at the end of the first half, the difference between the goals scored by the applewood team and the opposing team is greater than or equal to 8, then the referee will finish the game at the end of the first half.
If we call g the number of goals scored by the opposing team, then we can express this situation as an inequality:

However, it is impossible for a team to score -1 goal. Therefore the number of goals scored by the opposing team must be a number greater than 0.
So, the inequality is:
and 

The attached figure shows the graph for this inequality, which represents the number of goals that the opposing team could score if the referee finished the game in the first half.
Answer:
Whole numbers: 56
Rational numbers: 1/3
Integer: -5
Irrational numbers: 1.17513698
Natural numbers: 0
Solve what is in parenthesis first (5-9) = -4
Solve exponents next -4^3 = -64
Divide next

= -32
Lastly, subtract and resolve the negatives which become a positive number 125 - (-32) = 125 + 32 = 157
The standard algorithm is the way or steps to find an answer.