Answer:
m= rise/ run
Step-by-step explanation:
We can find the slope by
m= rise/ run
= change in y/ change in x
= ( y2-y1)/(x2-x1)
= vertical change/ horizontal change
Given:
The vertices of a triangle ABC are A(-2,1), B(-1,4) and C(-4,5).
Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.
To find:
The point B'.
Solution:
If a figure reflected over x-axis, then


If a figure reflected over y-axis, then



If a figure rotated 180 degrees about the origin, then



So, the coordinate of point B' are (-1,4).
Therefore, the correct option is A.
The value of y will be equal to 4.61.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.
The value of y will be calculated by using the Pythagorean theorem:-
a² + a² = (9√2)²
a = 9
Applying angle property in the triangle:-

9tan26 = MK
LM = 9 - 9tan26
LM = 9 - 4.38
LM = 4.62
Therefore the value of y will be equal to 4.61.
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