The centre of the rotation is A
The line of the reflection is Y
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in the fourth quadrant is triangle XYZ.
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The answer would be 42 because its the same angle as the other one
I hope I helped! ♥
Answer:
Im in middle school, please understand this. Its b.
Step-by-step explanation:
I know because well, I did the equation and rounded up and got that answer.
Answer:
A.
As x decreases in value, f(x) decreases in value.
As x increases in value, f(x) increases in value.
Step-by-step explanation:
As we move our eyes towards the right following the curve, we see that the y-values are larger and larger. As we move to the right following the curve, the values of the x-variable in the horizontal axis are increasing. Then as x increases, the values of f(x) also increase.
On the other hand, if we move our eyes to the left following the curve, this way looking into what values the function adopts for smaller and smaller values of x, we see that the f(x) values decrease (the curve goes down).
Then, to summarize:
a) As we move to the right, thus increasing the values of x, we see the values of f(x) increase
b) As we move to the left, thus decreasing the values of x, we see the values of f(x) decrease.