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Naily [24]
3 years ago
14

Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinate

s of A'?
Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)

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9. x=-6, y=0

10. x=-9, y=-10

11. x=3, y=-1

Step-by-step explanation:

2x-9y=-12\\3x+18y=-18

Multiply the first equation by 2.

4x-18y=-24\\3x+18y=-18

Add the equations.

7x=-42

x=-6

We figured out x now we have to figure out y. To figure out y plug in x into any equation.

2(-6)-9y=-12

-12-9y=-12

-9y=0

y=0

Your answer is x = -6 and y = 0 for number nine.

6x+3y=24\\2x+3y=-12

Change the signs of the second equation becuase 3y and 3y are both positive. We need one of them to be negative.

6x+3y=24\\-2x-3y=12

Add them.

4x = 36

x=9

Now we have to figure out y.

2(9)+3y=-12

18+3y=-12

3y=-30

y=-10

x=-9 and y=-10 is your answer to number ten.

10x+5y=25\\-7x-3y=-18

30x+15y=75\\-35x-15y=-90

-5x=-15

x=3

-7(3)-3y=-18

-21-3y=-18

-3y=3

y=-1

x=3 and y=-1 is the answer to number eleven. I hope this helps! Let me know if I got anything wrong.

4 0
2 years ago
Read 2 more answers
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