The perimeter of a rectangle is 30meter. If the length is twice the width, what is the width?
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Answer:
<em>Probability ≈ 0.1071</em>
Step-by-step explanation:
Consider steps below;
<em>Solution; Probability ≈ 0.1071</em>
Answer: No, your friend is not correct. You cannot use a similarity transformation to turn a square into a rectangle. Here's why:
1) If you used a similarity transformation, the size and position of the shape would change, but the shape itself remains the same.
2) Squares and rectangles are NOT similar.* Referring to the first point I listed, if the shapes are not similar, then a similarity transformation cannot be used to turn one shape into another.
<em>*Similar means that the edges are proportional to one another, such as a square with sides of 4 meters vs a square with sides of 2 meters: the sides are different lengths, but the shape is the same.</em>
I hope this helps! Please feel free to comment below if you need any clarification. Have a good day, and good luck on your assignment. :)
There are two ways to work this out: normal variables or using "imaginary" numbers.
Normal variables:
![(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}](https://tex.z-dn.net/?f=%20%287%2B2i%29%283-i%29%5C%5C%287%2A3%29%2B%5B7%2A%28-i%29%5D%2B%283%2A2i%29%2B%5B2i%2A%28-i%29%5D%5C%5C21-7i%2B6i-2i%5E%7B2%7D%5C%5C%5C%5C21-i-2i%5E%7B2%7D)
Imaginary numbers:
Using the result from earlier:
Now since
, then the expression becomes:
Normal variables:
Imaginary numbers:
Using the result from earlier:
Now since