If ABCDE is reflected over the x-axis and then translated 3 units left, what are the
1 answer:
Answer:
(-6,1)
Step-by-step explanation:
A. Reflection
When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign.
Thus, D (-3,-1) ⟶ D' (-3, 1)
B. Translation
When you translate a point horizontally, its x-coordinate changes, but the y-coordinate. remains unchanged.
You translated the point 3 units to the left.
D'(-3, 1) ⟶ D"(-6,1)
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Given:
In the given circle, ∠ADB = 270° and length of ADB = 61.26 m
To find the radius of the circle.
Formula
The formula to determine the radius is given by
Substituting arc length = 61.26, , we get;
Thus, the radius is 13 m
For this case we have the following system of equations:
We multiply the second equation by -1:
We add the equations:
We find the value of "x":
Thus, the solution of the system is given by:
ANswer:
(9, -8)