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Ksenya-84 [330]
3 years ago
5

Rectangle ABCD is congruent to rectangle. Which sequence of transformations could have been used to transform rectangle ABCD to

produce rectangle? A. Rectangle ABCD was rotated 90° clockwise around the origin and then translated 7 units left. B. Rectangle ABCD was rotated 90°counterclockwise around the origin and then reflected across the x-axis. C. Rectangle ABCD was rotated 90° counterclockwise around the origin and then translated 8 units down. D. Rectangle ABCD was rotated 90° clockwise around the origin and then reflected across the y-axis.
Mathematics
1 answer:
il63 [147K]3 years ago
7 0
Rectangle ABCD was rotated 90° counterclockwise around the origin and then translated 8 units down.
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Work out area of this shape​
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A bird flies 61/2 mi in 20 min.
schepotkina [342]

\frac{61/2}{20} =  \frac{x}{81/8}
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4 years ago
Simplify the expression using long division. (10x2 – 85x – 10) ÷ (x – 8)
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Answer: 5 • (2x2 - 17x - 2)

 ———————————————————

        x - 8      

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 

Step  2  :

           10x2 - 85x - 10

Simplify   ———————————————

                x - 8      

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  10x2 - 85x - 10  =   5 • (2x2 - 17x - 2)  

Trying to factor by splitting the middle term

3.2     Factoring  2x2 - 17x - 2  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -17x  its coefficient is  -17 .

The last term, "the constant", is  -2  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -2 = -4  

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   -17 .

     -4    +    1    =    -3  

     -2    +    2    =    0  

     -1    +    4    =    3  

Observation : No two such factors can be found !!  

Conclusion : Trinomial can not be factored

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