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>
One unit to the left and three units up
Answer:
There will be $4450 left at the end of the year.
Step-by-step explanation:
We first take 11% and multiply it by $5,000. We get 550. This means that the account will lose $550. Next, we take our original amount, $5,000, and subtract $550 from it. We will get $4450.
Answer:
The ordered pair to represent a in the equation a=2b+c if b=(6,3) and c=(-4,8) is: a=(8,14)
Step-by-step explanation:
b=(6,3)
c=(-4,8)
a=2b+c
Replacing b and c in the equation above:
a=2(6,3)+(-4,8)
Multiplying:
a=(2*6,2*3)+(-4,8)
a=(12,6)+(-4,8)
Adding:
a=(12+(-4),6+8)
a=(12-4,14)
a=(8,14)
