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stellarik [79]
3 years ago
6

Rotate triangle ABC 90° clockwise around the origin given the vertices A(1,3)B(-1,4)C(2,5) what are the new vertices for triangl

e ABC
Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer:

A' = (3,-1)

B' = (4,1)

C' = (5,-2)

Step-by-step explanation:

Given

A = (1,3)

B = (-1,4)

C = (2,5)

Rotation: 90 degrees clockwise

Required

Determine A'B'C'

When a point P (x,y) is rotated 90 degrees in the clockwise direction, the new coordinates is: P' (y, -x).

So, we have:

A = (1,3)

B = (-1,4)

C = (2,5)

Becomes

A' = (3,-1)

B' = (4,1)

C' = (5,-2)

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Which equation describes the pattern of the data in the table?
slega [8]

Answer:

Option A. y = 4x

Step-by-step explanation:

From the question given above, the following data were obtained:

X >> Y

3 >> 12

4 >> 16

5 >> 20

6 >> 24

7 >> 28

Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:

For Option A:

1. y = 4x

x = 3

y = 4 × 3

y = 12

2. y = 4x

x = 4

y = 4 × 4

y = 16

For Option B:

1. y = 4x + 12

x = 3

y = 4(3) + 12

y = 12 + 12

y = 24

2. y = 4x + 12

x = 4

y = 4(4) + 12

y = 16 + 12

y = 28

For Option C:

1. y = ¼ x

x = 3

y = ¼ × 3

y = ¾

2. y = ¼ x

x = 4

y = ¼ × 4

y = 1

For Option D:

1. y = ¼x + 12

x = 3

y = ¼(3) + 12

y = ¾ + 12

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2. y = ¼x + 12

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y = ¼(4) + 12

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3 years ago
Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than Jean would take to do the same
ELEN [110]
Katework+jeanwork=6
work alone
Katework=-5+Jeanwork
ad 5 to both sides
Katework+5=jeanwork
subsitute 5+katework for jeanwork
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subtract 5 from both sides
2katework=1
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equation would be
jeanwork+katework=6 and
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