The point (-4,1) is rotated 180 degrees counterclockwise using center (-3,0). What are the coordinates of the image?
2 answers:
Answer:
C. (-2, -1)
Step-by-step explanation:
It can help to plot the points.
For rotation 180 degrees, the center of rotation is the midpoint of the segment joining the given point and its image. That means you want to find the other end of a segment with one end (-4, 1) and midpoint (-3, 0).
For center of rotation O, this means ...
O = (A +A')/2
2O -A = A'
A' = 2(-3, 0) -(-4, 1) = (-6+4, 0 -1) = (-2, -1)
The coordinates of the image are (-2, -1).
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Answer:
arc ≈ 5.5 units
Step-by-step explanation:
The arc of the circle is calculated as
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= 2πr × ( r is the radius )
= 2π × 3.5 ×
=
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Answer:
x ≈ 66.73
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan27° = =
=
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x × tan27° = 34 ( divide both sides by tan27° )
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