Remember that the <em>domain</em> is the set of all the x terms.
So in the graph shown here, notice that the x terms seem to be increasing in both a positive and negative direction and there seems to be no limit to how large or how small the x terms can get. So the x terms can be all positive and negative numbers, including decimals and fractions.
In other words, the x terms can be All Real Numbers.
So the domain is equal to the set of all real numbers or <em>R</em>.
The range is the set of all the y terms.
Notice that all the y terms are less than or equal to 9.
So the range is {y: y ≤ 9}.
When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
Answer:
Your signature, and a nice 4-word goodbye
Step-by-step explanation:
Your signature so they know it was YOU who wrote it and a nice 4-word goodbye to show the other person that you care.
Start at point x and count down until you are in line with point y. (This will be five units). From the point you just ended at, count across until you get to point y. (This will be 9 units). Five units and nine units are the lengths of your two legs. The Pythagorean theorem is a^2+b^2=c^2. So you then take 5^2+9^2=c^2, or 25+81=c^2, or 106=c^2. Then square root each side, and get 10.2956=c. Therefore the distance between points x and y is 10.2956, or 10.3 if you choose to round.
