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AysviL [449]
3 years ago
8

1. Triangle ABC with coordinate points A(-2,3); B(-1,0); C(5,-4) is rotated 90 degrees clockwise. What

Mathematics
1 answer:
Reil [10]3 years ago
6 0

Answer: A'(3,2),  B'(0,1)  and C'(-4, -5).

Step-by-step explanation:

When we rotate (a,b) 90 degrees clockwise, the new point will be (b,-a).

i.e. rotation rule for 90 degrees clockwise : (x,y) → (y,-x)

Given: Triangle ABC with coordinate points A(-2,3); B(-1,0); C(5,-4) is rotated 90 degrees clockwise.

Then, the new image points for triangle A'B'C' will be :

A(-2,3) → A'(3,-(-2)) =A'(3,2)

B(-1,0)→ B'(0,-(-1)) = B'(0,1)

C(5,-4) → C'(-4, -5)

Hence, the new image points for triangle A'B'C' are A'(3,2),  B'(0,1)  and C'(-4, -5).

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Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation? A. 90 degrees clockwise rotation B. 180 degrees
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Answer:

The correct option is;

A. 90 degrees clockwise rotation

Step-by-step explanation:

From the given information, we have;

The coordinates of the pre-image is K(-6, 9)

The coordinates of the image is k'(9, 6) which is similar to a transformation of a pre-image of (x, y) to an image of (y, -x)

The transformation from (x, y) to (y, -x) can be obtained from either;

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4 0
3 years ago
Trey wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 31
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3 years ago
A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult populat
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6 0
3 years ago
Read 2 more answers
Suppose that a cyclist began a 374 mi ride across a state at the western edge of the​ state, at the same time that a car traveli
kherson [118]
This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
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Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
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x=(190.1163)/(11)
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4 0
3 years ago
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