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Fed [463]
3 years ago
5

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 there a

re on the perimeter of the square, when OABC is enlarged, scale factor 2, centre (0,0)

Mathematics
1 answer:
Blizzard [7]3 years ago
5 0

Answer:

1 point. O (0,0)

Step-by-step explanation:

Hi

Invariant points are those points who remain on the same location after a given transformation.

1.  Plotting OABC we have it below:

2. Whenever we dilate centered, the image O'A'B'C' will be determined by the following points:

O'(0,0) \:A'(3,0) B'(6,6) \:and\:C'(0,6)

Since the Scale factor is (2)

3. Check it out O'A'B'C' below

4. On the perimeter of O'A'B'C' (enlarged OABC) we have left 1 point invariant.

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Theorem 8.18 and the Pythagorean Theorem to find the side lengths of the kite . Write the lengths in simplest radical form and a
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Answer:

|WX|=|XY|=\sqrt{18} =3\sqrt{2}\:Units \:or\: 4.2 \:Units\\|WZ|=|YZ|=\sqrt{34} \:Units \:or\: 5.8 \:Units

Step-by-step explanation:

<u>Theorem: The diagonals of a kite are perpendicular.</u>

Let O be the point of intersection of the diagonals,

Applying Pythagoras Theorem, in right triangle WOX

|WX|^2=|WO|^2+|OX|^2\\|WX|^2=3^2+3^2=18\\|WX|=\sqrt{18} =3\sqrt{2}\:Units \:or\: 4.2 \:Units

Applying Pythagoras Theorem, in right triangle WOZ

|WZ|^2=|WO|^2+|OZ|^2\\|WX|^2=3^2+5^2=34\\|WZ|=\sqrt{34} \:Units \:or\: 5.8 \:Units

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3 years ago
3x+4y =-5<br> 3x+3y=-2<br><br> solve using substitution
galben [10]
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A(1, 3), B(5, 3), and D(1, -2) are three vertices of rectangle ABCD.
tatiyna

Answer:

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Step-by-step explanation:

6 0
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If you place a 20 ft ladder 4ft from the base of the wall. How high up will it reach? Round answer to the nearest tenth
xeze [42]

Answer:

h = 19.6 ft

Step-by-step explanation:

Given that,

A 20 ft ladder 4ft from the base of the wall.

The height of the ladder, H = 20 ft

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We need to find the height of the reach. Let it is P.

Using Pythagoras theorem,

H^2=b^2+P^2\\\\P=\sqrt{H^2-b^2}\\\\P=\sqrt{20^2-4^2}\\\\=19.59\ ft

or

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Answer:

A) f(x) = 3x + 3; f(10) = 33

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