Without graphing, the final position of the figure that is translated by
(x - 5, y + 7), and then by (x + 5, y -
7) ends
up in the same position it was, before the translations.
Let’s check this example:
Think of point (1, 1). The point is translated to (-4, 8); and then it is moved
back to point (1, 1). The x spot’s -5 and +5 cancel each other out and the same
can be said for the y’s.
To add, a geometric transformation<span> that changes every point of a space by the same amount
in a given direction or a figure is called a translation.</span>
Answer: 700 tons of coal consumed in 10 weeks.
Step-by-step explanation:
first you find how much coal is consumed in 1 week which is 70 tons, then you multiply the 70 tons by 10 weeks because you are trying to find how much tons of coal can be consumed in to weeks and when you do that you should get 700 tons of coal for 10 weeks.
The least common multiple of 3, 4, 6, and 8 is 24.
List the multiples out:
3: 3, 6, 9, 12, 15, 18, 21, 24
4: 4, 8, 12, 16, 20, 24
6: 6, 12, 18, 24
8: 8, 16, 24
( x - 6)² = x² - 12 x + 36
Step-by-step explanation:
The answer is is the picture..