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A. (2,4),(-2,-1), (-7,5)
B. (4,6),(-1,2), (5, -3)
C. (4,-2),(-1,2), (5,7)
D. (4,2), (-1,-2), (5, -7)
The book has these as the optional answers but I keep getting (-2,-4), (2,1), (7, -5)
Can someone help me??
Answer: (-2,-4), (2,1) and (7,-5)
Step-by-step explanation:
When rotating a point 180 degrees about the origin a point A(x,y) becomes A'(-x,-y).
When translating a point B(x,y) by 'h' units left, then the new point will become B'(x-h,y).
Given: A triangle with coordinates (6,4), (2, -1), and (-3,5) is translated 4 units left and rotated 180° about the origin.
Translation rule for 4 units left : (x,y) → (x-h,y)
The new coordinates will be (6-4,4) , (2-4,-1) and (-3-4, 5)
i.e. (2,4), (-2,-1) and (-7,5) .
Now, applying the rotation rule of 180 degrees we get the points of the final image as
(-2,-4), (2,1) and (7,-5) .
Hence, the coordinates of its image is (-2,-4), (2,1) and (7,-5) .
It will take 60 seconds to move one end to the other.
The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other terms, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined.
Given the speed of a person = 21 feet in 7 seconds
speed in per second = 21/7 = 3 feet per second
distance of sidewalk = 180 feet
speed = distance/time
time = distance/speed
time = 180/3
time = 60 seconds
Hence it will take 60 seconds to cover the distance.
Learn more about speed;
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