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Citrus2011 [14]
3 years ago
8

Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4).

Mathematics
2 answers:
den301095 [7]3 years ago
8 0
   ( x, y )  → ( x-3, y+4 )
A ( 1, 1) → A' (1-3, 1+4)      A' (-2, 5)
drek231 [11]3 years ago
5 0

Answer:

A. (-2,5)  

Step-by-step explanation:

We have been given an image of a triangle ABC on coordinate plane. Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4).  

The given translation rule states that we need to shift x-coordinates of ABC by 3 units to the left and y coordinates by 4 units upwards to get the coordinates of A'B'C'.  

We can see that the coordinates of point A are (1,1), so after applying the given translation rule coordinates of A' will be:

A(1,1)\rightarrow (1-3,1+4)=A'(-2,5)

Therefore, the coordinates of A' will be (-2,5) and option A is the correct choice.

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ms. jeffers is splitting $775 among her three sons. of the oldest gets twice as much as the youngest and the middle son gets $35
Angelina_Jolie [31]

The oldest son will get $370, the middle will get $220 and the youngest will get $185.

Step-by-step explanation:

Given,

Total amount to be split = $775

Let,

Oldest son's share = x

Middle son's share = y

Youngest son's share = z

According to given statement;

x+y+z=775     Eqn 1

the oldest gets twice as much as the youngest

x = 2z             Eqn 2

the middle son gets $35 more than the youngest

y = z+35         Eqn 3

Putting value of x and y from Eqn 2 and 3 in Eqn 1

2z+(z+35)+z=775\\2z+z+35+z=775\\4z=775-35\\4z=740\\

Dividing both sides by 4

\frac{4z}{4}=\frac{740}{4}\\z=185

Putting z=185 in Eqn 2

x=2(185)\\x=370

Putting z=185 in Eqn 3

y=185+35\\y=220

The oldest son will get $370, the middle will get $220 and the youngest will get $185.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11175936
  • brainly.com/question/11203617

#LearnwithBrainly

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