A) (x, y) → (3x, 3y)
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Explanation:</h2>
When you dilate an object, you enlarge or reduce the size of it. To do this, we need a scale factor which allows us to make the object larger or smaller depending on the value of that factor. Let's call this factor as k, then it is true that:
- If k > 1, the object will be larger than the original one.
- If k < 1, the object will be smaller than the original one.
If the dilation is performed centered at the origin, then corresponding points of the original and dilated figures will be connected by straight lines, being the center of dilation the point where all the lines meet.
The only option that meets this requirement is:
A) (x, y) → (3x, 3y)
Whose scale factor is k = 3 making the dilated figure larger than the original one.
<h2>Learn more:</h2>
Dilation: brainly.com/question/10946046
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Answer:
Standard form means that you write the terms by descending degree.
x^4y^2 + 4x^3y + 10x^2
The degree of the first term x^4y^2 is 4+2=6
The degree of the second term 4x^3y is 3+1=4
The degree of the third term 10x^2 is 2
The terms are written by descending degree. Therefore, polynomial x^4y^2 + 4x^3y + 10x^2 is written in standard form.
Step-by-step explanation: I hope this helps <3
Answer:
The shape has a total area of 14.96cm²
Step-by-step explanation:
To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.
The outer rectangle is 5.6 by 6.4 cm. To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².
Next the inner rectangle needs to be subtracted. First though, we need its width, which we're not directly given.
We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle. All we need to do then is subtract the later from the former to the the inner rectangle's width:
5.6cm - 1.2cm - 0.8cm = 3.6cm
Great! The inner rectangle has an area of 3.6cm × 5.8cm. That gives us 20.88cm².
The final step is to subtract that 20.88 square cm from the 35.84 that we already have. Doing so gives us a result of 14.96cm², and that is the final answer.
The answer to your question is -32.9
I mean it could be read that way but that's the way most people read fractions. 11 and 8/10. Most people I know read decimals like that as 11 point 8. So yes I suppose it's true; it's not wrong, but most people don't say it like that. And I don't know how they taught you to read it in your math course.
