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Korolek [52]
3 years ago
14

Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x) .

Mathematics
1 answer:
Nadya [2.5K]3 years ago
8 0
See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'. 

Note how the x and y values swap places. 
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen. 

The purple triangle is the final answer.

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What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)?
liubo4ka [24]

The quotient of x^{3}+3x^{2} -4x-12 divided by x^{2} +5x+6 is (x-2_.

Given the polynomial x^{3}+3x^{2} -4x-12 and x^{2} +5x+6 and the first expression or polynomial is divided by second.

Quotient is a number that is obtained by dividing two numbers. It can be of two numbers or two expressions. Remainder is a number or an expression left after division of two numbers.

To find the quotient of x^{3}+3x^{2} -4x-12 divided by  , we have to divide the expression first.

We know that ,

Divident=Divisor*Quotient+remainder

x^{3}+3x^{2} -4x-12=x^{2} +5x-6*(x-2)-12

If we carefully watch the above equation and compares with the above formula then we can easily find that the value of quotient is (x-2).

Hence the quotient of x^{3}+3x^{2} -4x-12 divided by x^{2} +5x-6 is (x-2).

Learnmore about quotient at brainly.com/question/673545

#SPJ4

Question is incomplete as the given expressions are incomplete as they should be like this:

x^{3}+3x^{2} -4x-12 and x^{2} +5x-6.

4 0
2 years ago
I need some help with this math question
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Answer:

C. 800 miles per 16 hours

Step-by-step explanation:

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5 0
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Answer:

b = -7

Step-by-step explanation:

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