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rjkz [21]
2 years ago
9

The point (-4,1) is rotated 180 degrees counterclockwise using center (-3,0). What are the coordinates of the image?

Mathematics
2 answers:
IrinaVladis [17]2 years ago
4 0
I believe the answer is C also trying using the website desmos it helps a lot with graphing
Nadya [2.5K]2 years ago
3 0

Answer:

  C.  (-2, -1)

Step-by-step explanation:

It can help to plot the points.

For rotation 180 degrees, the center of rotation is the midpoint of the segment joining the given point and its image. That means you want to find the other end of a segment with one end (-4, 1) and midpoint (-3, 0).

For center of rotation O, this means ...

  O = (A +A')/2

  2O -A = A'

  A' = 2(-3, 0) -(-4, 1) = (-6+4, 0 -1) = (-2, -1)

The coordinates of the image are (-2, -1).

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A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constant rate.
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The wrestler gained 5.20 kilograms per month.

Step-by-step explanation:

Let,

x be the weight gained every month.

y be the original weight before weight gain.

According to given statement;

0.5x+y=80.6   Eqn 1

2x+y=88.4    Eqn 2

3.5x+y=96.2    Eqn 3

Subtracting Eqn 1 from Eqn 2

(2x+y)-(0.5x+y)=88.4-80.6\\2x+y-0.5x-y=7.8\\1.5x=7.8

Dividing both sides by 1.5

\frac{1.5x}{1.5}=\frac{7.8}{1.5}\\x=5.20

The wrestler gained 5.20 kilograms per month.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/4459688
  • brainly.com/question/4460262

#LearnwithBrainly

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Step-by-step explanation:

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3 years ago
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jeka57 [31]

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