The preimage is the solid triangle while the image is the dashed triangle. Recall that any transformation takes a preimage and maps it to an image. The "preimage" is the "before"; while the "image" is the "after"
Preimage ---> Image
Before ---> After
The "pre" is one way to help remember it means "before".
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The preimage has a horizontal segment length of 15 units (count from x=-9 to x=6 and you should count out 15 spaces). The corresponding horizontal piece on the dashed triangle is only 3 units long. Divide the image length over the preimage length
(image length)/(preimage length) = 3/15 = 1/5 = 0.2
Now if the figure wasn't reflected over the point (6,6), then the final answer would be either 1/5 or 0.2; however, this reflection does happen so we need to make the scale factor negative. So we go from 1/5 to -1/5, and we go from 0.2 to -0.2
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Final Answer as a fraction: -1/5
Final Answer in decimal form: -0.2
<h3>What is the product of 2x + y and 5x – y + 3?</h3>
<em>The polynomial product has the distributive property.</em>
<em>Step 1:</em><em> We have to distribute each term of the first polynomial to every term of the second polynomial.</em>
(2x + y) * (5x - y +3) = 2x(5x - y + 3) + y(5x - y + 3) =
= 10x² - 2<u>xy</u> + 6x + 5<u>xy</u> - y² + 3y =
<em>Step 2: </em><em>Combine like terms.</em>
= 10x² - y² + 3xy + 6x + 3y
Answer : 10x² - y² + 3xy + 6x + 3y
The answer for this question is A. True.
I hope that this helped!
Mean is the average
So the first mean is 11
The second one is 14.7 so round to 15
15-11 is 4. Hope that is correct
