Given that △XYZ is mapped to △X'Y'Z' using the rules (x, y)→(x+5, y−3) followed by (x, y)→(−x, −y) .
We know that (x,y) => (x+h,y+k) type operation represents translation so rule (x, y)→(x+5, y−3) will cause translation.
We know that (x,y) => (-x,-y) type operation represents rotation about origin so rule (x, y)→(−x, −y) will cause rotation.
So combining both results and comparing with given choices. we find that only 1st choice "△XYZ is congruent to △X'Y'Z' because the rules represent a translation followed by a rotation, which is a sequence of rigid motions."
is correct.
Answer:
Domain: All real values (numbers)
Range: all real values that are less than or equal to 4. 
Zeros: x=-2 and x=2 or if you want to write it in an ordered pair, it is (-2,0) and (2,0).
Vertex: (0,4)
Min/Max: 4. or if you want to write in an ordered pair (0,4). In this case, it is a maximum value.
Axis of symmetry: x=0
y-intercept: (0,4)
Step-by-step explanation:
I hope this helps!
Answer:
Yes, there is a proportional relationship.
Step-by-step explanation:
I can't put a graph in here unfortunately.
Volume = (4/3) * PI * r^3
Volume = (4/3) * 3.14159 * 10^3
Volume = (4/3) * 3.14159 * 1,000
Volume = 4,188.786666666666
Volume = 4,189 cubic feet
Answer:
This term is equal to 3.7
Step-by-step explanation:
When you have two negatives in a row, you can cancel them both and make it a positive.
