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IceJOKER [234]
3 years ago
5

On the grid, draw the image of shape R after the transformation represented by the matrix ( - )).

Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0

Answer:

The given matrix is telling us that we must translate the figure one unit to the right side and one unit downside because the first row states 0 x-units and -1 y-units, the second row states 1 x-unit and 0 y-units.

The transformation of the coordinates would be

(1,-1) to (2, -2)

(2,1) to (3, 0)

(4,1) to (5, 0)

(4,-1) to (5, -2)

The image attached shows the representation of the image.

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<h3>Application of Pythagoras theorem;</h3>

To get the radius of the circle, we need to determine the diameter of the circle first:

According to SOH CAH TOA:

sin\theta = \frac{opp}{hyp} \\sin60 = \frac{12\sqrt{3}}{hyp} \\hyp =\frac{12\sqrt{3}}{sin60} \\hyp =\frac{2\times12\sqrt{3}}{\sqrt3}} \\hyp = 24 = diameter

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Step-by-step explanation:

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The LCM of 6 and 8 is 24. To find the least common multiple (LCM) of 6 and 8, we need to find the multiples of 6 and 8 (multiples of 6 = 6, 12, 18, 24; multiples of 8 = 8, 16, 24, 32) and choose the smallest multiple that is exactly divisible by 6 and 8, i.e., 24.

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