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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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Answer:

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Step-by-step explanation:

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In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are
romanna [79]

If he answered 3 questions correctly, then the number of questions is got wrong is 7 and the number of questions that he did not attempt is 5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are given for every incorrect answer, and 0 marks are given for questions that are not attempted. Punit scored (– 2) marks.

If he answered 3 questions correctly, then the number of the question are got wrong and the number of the question that he did not attempt.

Let x be the correct question and y be the incorrect question, z be the number of questions that he did not attempt, and A be the number of the total score. Then we have

4x – 2z = A

x + y + z = 15

If A = -2 and x = 3, then we have

4 × 3 – 2z = -2

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              z = 7

Then the value of y will be

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More about the linear system link is given below.

brainly.com/question/20379472

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2 years ago
The product of 4 and a number f decreased by 2 is 15
Debora [2.8K]

Answer:  The number is:  "2 " .

__________________________________________

Step-by-step explanation:

__________________________________________

Write the expression; which is an equation, as follows:

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    " 4x − 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .

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Note:  

If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;

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Rewrite as:  " 4x − 12 = -2x " ;

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    →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:

                     4x − 12 + 12 + 2x = -2x + 12 + 2x ;

          to get:    6x  = 12  ;

____________________________________________________

Now, divide each side of the equation by "6" ;

    to isolate "x" on one side of the equation; & to solve for "x" ;

____________________________________________________

                        6x / 6  =  12 / 6 ;

                   to get:    x = 2 .

____________________________________________________

Answer:  The number is:  "2 " .

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Let us check our answer, by plugging in "2" for "x" in our original equation:

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       →   " 4x − 12 = 2(-x) " ;

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       →   " 4(2) − 12 = ?  2(-2) ??

       →    8 − 12 = ?  -4 ? ;

       →    -4 = ? -4 ??  Yes!

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<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%2B%20%20%5Cfrac%7Bw%7D%7B3%7D%20" id="TexFormula1" ti
ElenaW [278]

Answer:  \bold{w=\dfrac{6y-3}{2}}

<u>Step-by-step explanation:</u>

Isolate w by performing the following steps

  • Multiply by 6 on both sides to clear the denominator
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