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alex41 [277]
2 years ago
7

Square OABC is drawn on a centimetre grid. O is (0,0) A is (3,0) B is (3,3) C is (0,3) Write down how many invariant points ther

e are on the perimeter of the square when OABC is translated by the vector [1 3]

Mathematics
1 answer:
storchak [24]2 years ago
3 0

Answer:

No invariant point

Step-by-step explanation:

Hello!

When we translate a form, in this case a polygon We must observe the direction of the vector. Since our vector is:

\vec{v}=\left ( \begin{matrix}1\\ 3\end{matrix} \right )

1) Let's apply  that translation to this polygon, a square. Check it below:

2) The invariant points are the points that didn't change after the transformation, simply put the points that haven't changed.

Examining the graph, we can see that no, there is not an  invariant point, after the translation. There is no common point that belongs to OABC and O'A'B'C' simultaneously. All points moved.

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Do the ratios 5:3 and 13:8 form a proportion?
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Answer:

  No

Step-by-step explanation:

Each ratio is irreducible, and they are different. Hence they are not the same value, so cannot be a proportion. A proportion is two equal ratios.

  5 : 3 = 40 : 24

  13 : 8 = 39 : 24 . . . . not the same as 40 : 24

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<em>Examples of proportions</em>

  5/3 = 40/24 . . . is a proportion

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4 0
2 years ago
You picked one marble out of a bag that contains 6 red marbles, 5 white marbles, and 3 blue marbles. Find p(red and blue).
Tcecarenko [31]
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3 0
2 years ago
Read 2 more answers
The length of a rectangle is 3 more inches than the width. Find the length and width of the rectangle is the perimeter of the re
n200080 [17]

Part A:

Let the width of the rectangle be = x inches

As given, the length of a rectangle is 3 more inches than the width so let the length of the rectangle be = x+3 inches

Perimeter is given as = 54 inches

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Equation becomes:

2(x+3+x)=54

2(2x+3)=54

Part B:

Solving the equation we get

4x+6=54

4x=54-6

4x=48

x=12

Hence, the width of the rectangle is 12 inches

Length = x+3 = 12+3 = 15 inches

Hence, length of the rectangle is 15 inches.


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3 years ago
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