Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4
Romashka [77]
The triangles ABC and A'B'C' are shown in the diagram below. The transformation is a reflection in the line

. This is proved by the fact that the distance between each corner ABC to the mirror line equals to the distance between the mirror line to A'B'C'.
Answer:

Step-by-step explanation:
For ellipses, the length of the major axis is represents as:
Major axis = 
where
is called the semi-major axis.
In this case since the major axis is equal to 10 units:

solving for the semi-major axis
:

and also the minor axis of an ellipse is represented as:
Minor axis = 
where
is called the semi-minor axis.
Since the minor axis has a length of 8 units:

solving for b:

Now we can use the equation for an ellipse centered at the origin (0,0):

and substituting the values for
and
:

and finall we simplify the expression to get the equation of the ellipse:

CML must be an obtuse angle.
Since CMW and WML together form CML, and CMW is a right angle, then CML must be larger than a right angle, which makes it obtuse.
Answer:
C
Step-by-step explanation:
In the pattern, there are some similarities with the first three circles.
1. The number is on the blue half.
2. The halves switch spots, red-blue, blue-red, red-blue.
So, the next one should have the number on the blue half and the next pattern should be red-blue, blue-red, red-blue, and blue-red.
Which one has both the number on the blue half and the pattern blue-red?
C
Hoped this helped.