Answer:
x = 5 and y = 6; that is the (5, 6) (x, y) pair.
Step-by-step explanation:
The graph shows two lines that cross at the point (5, 6) on the plane (see attached image).
This means that the point x=5 and y=6 belongs to both lines (is a solution for both equations representing the lines) and therefore this pair of values is the solution to both equations in the system.
The attached image shows the image of A"B"C" after the transformation
<h3>What is the transformation of the triangle about?</h3>The transformation rule states:
A"B"C" = Ro90° (T(-4,3)(ABC))
This implies that one need to rotate the triangle in a 90⁰ clockwise direction, and then one need to translate the triangle.
Using the image shown, the coordinates of ABC are;
A = (-1, 2)
B = (1, 4)
C = (3, -1)
The 90⁰ rule clockwise rotation will be:
(x,y) -- (y,-x)
So, when translated, it will be:
A' = (2, 1)
B' = (4, -1)
C' = (-1, -3)
Then the translation of the triangle using T(-4,3):
(x, y) - (x - 4, y + 3)
So, there is:
A'' = (-2, 4)
B'' = (0, 2)
C'' = (-5, 0)
Learn more about transformation from:
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