11.07.2021

What does the algebraic representation (x, y) → (-x, y) represent?

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09.07.2023, solved by verified expert
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Reflection over y axis

Explanation:

Consider the point (1,2). If we apply the rule What does the algebraic representation (x, y), №18010300, 11.07.2021 22:04, then it would move to (-1,2).

The x coordinate flipped in sign from positive to negative. The y coordinate stays the same.

Another example is (-3,7) reflecting to (3,7).

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Faq

Mathematics
Step-by-step answer
P Answered by Master

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

A translation 9 units to the right and 3 units down.

»»————- ★ ————-««  

Here’s why:  

The representation is a translation rule for a given pre-image (point).

(x\pm a, y\pm b)\\\\\rightarrow \text{The point is translated 'a' units left/right and 'b' units up/down.}\\\\\text{If a is negative we go left. If a is positive we go right.}\\\\\text{If b is negative we go down. If b is positive we go up.}

The given translation rule means 9 units right (x+9) and then 3 units down (y-3).

Therefore,

The algebraic representation of what's given is a transformation of a point that is translated 9 units right and 3 units down.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Mathematics
Step-by-step answer
P Answered by Specialist
Reflection over y axis

Explanation:

Consider the point (1,2). If we apply the rule (x,y) \to (-x,y), then it would move to (-1,2).

The x coordinate flipped in sign from positive to negative. The y coordinate stays the same.

Another example is (-3,7) reflecting to (3,7).

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below

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