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Dmitry [639]
3 years ago
13

Square OABC is drawn on a centimetre grid. O is (0,0) A is (2,0) B is (2,2) C is (0,2) Write down how many invariant points ther

e are on the perimeter of the square when OABC is rotated 90 degrees clockwise, centre (2,0).

Mathematics
1 answer:
ANTONII [103]3 years ago
7 0

Answer:

There is one point: A (x, y) = (2, 0)

Step-by-step explanation:

A point of the square OABC is invariant only if its location coincides with location of the rotation axis, that is, that such point experiments only rotation, no translation in any form. The center of rotation coincides with the location of one of the vertices of the square and, therefore, there is one invariant point on the perimeter: A (x, y) = (2, 0)

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Step-by-step explanation:

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17, and 19 might be wrong. (just which way the arrow goes)

4 0
2 years ago
-6x +10 = -104<br><br> what’s x ?
natita [175]

Answer:

19

Step-by-step explanation:

-6x + 10 = -104

-6x = -114

x = 19

8 0
2 years ago
Read 2 more answers
A directed line segment AB with A(3,2) and B (6,11) is partitioned by point C such that AC and CB form a 2:1 ratio. Find C. Writ
Nimfa-mama [501]

\bf \textit{internal division of a line segment using ratios} \\\\\\ A(3,2)\qquad B(6,11)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:1} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{2}{1}\implies \cfrac{A}{B} = \cfrac{2}{1}\implies 1A=2B\implies 1(3,2)=2(6,11)\\\\[-0.35em] ~\dotfill\\\\ C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill

\bf C=\left(\cfrac{(1\cdot 3)+(2\cdot 6)}{2+1}\quad ,\quad \cfrac{(1\cdot 2)+(2\cdot 11)}{2+1}\right) \\\\\\ C=\left( \cfrac{3+12}{3}~~,~~\cfrac{2+22}{3} \right)\implies C=\left( \cfrac{15}{3}~~,~~\cfrac{24}{3} \right)\implies C=(5~~,~~8)

5 0
3 years ago
Find the missing length
shutvik [7]
The small triangle and big triangle are similar - this means they have the same angles. So, if you know the ratio of a side of the big triangle (12) to a side of the small triangle inside it (4), you know the ratio of the other sides. In this case, the side ratio (small to big triangle) is 1/3. Thus, the missing side length is 18/3=6.
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7 0
3 years ago
Consider the triangle. Right triangle A B C. Side A C is 24 centimeters, C B is 10 centimeters, and hypotenuse A B is c. Find th
natita [175]

Answer: The length of the hypotenuse is 26 cm

Step-by-step explanation: Please refer to the attached diagram

The triangle ABC is drawn as described such that the right angle is at point C and line AB is the hypotenuse which is yet unknown.

Since we have a right angled triangle with two sides known and one unknown, we can apply the Pythagoras theorem which states that

AC² = AB² + BC² where AC is the hypotenuse and AB and BC are the other two sides

In this question the hypotenuse is AB, so we now have;

AB² = AC² + CB²

AB² 24² + 10²

AB² = 576 + 100

AB² = 676

Add the square root sign to both sides of the equation

√AB² = √676

AB = 26

Therefore the length of the hypotenuse is 26 cm

3 0
3 years ago
Read 2 more answers
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