Exact Form - 5/12
Decimal Form - 0.41666666...
Translated means the points are moving across the plane without rotating or changing shape. In this case, the x-coordinate would be moving up 5 (x + 5) and the y-coordinate would be moving to the left 4 (y - 4).
A is (-8, 6). A' is the result of the translation from this point. The results of the solution above in A is the point (-3, 2) = A'.
Now you must find the distance between these two coordinates. To find the distance you must use the distance formula: √<span>(x2 - x1)^2 + (y2 - y1)^2. Since you now have two points, A and A', plug these into the distance formula.
</span>√(-3 - (-8))^2 + (2 - 6)^2
√5^2 + (-4)^2
√25 + 16
√41
The distance from A to A' is √41.
Answer:
0.25x -12= 18- 0.55x (subtract 0.25x from both sides)
-12= 18 -0.80x (subtract 18 from both sides)
-30= -0.80x (divide each side by -0.80)
x= 37.5 (this is your answer)
The center of the circle is (6,-3)
Hope this helped :)
