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Veseljchak [2.6K]
3 years ago
5

A circle is translated according to the rule (x,y) → (x+10,-17). Which statement is true about the image of the circle after thi

s
translation?

a. the diameter of the image is 10 times as long as original diameter

b. the diameter of the image is the same length as the original diameter

c. the diameter of the image is 17 units shorter than original diameter

d. diameter of the image is 10 units longer than the original diameter ​
Mathematics
1 answer:
iren2701 [21]3 years ago
7 0

Answer:

Statement D. is true

Step-by-step explanation:

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Step-by-step explanation:

i =  \sqrt{ - 1}  \\ (3 - 4i)( - 6 + i) \\  = (3 - 4 \sqrt{ - 1} )( - 6 +  \sqrt{ - 1} ) \\  = 3( - 6 +  \sqrt{ - 1)}  - 4 \sqrt{ - 1} ( - 6 +  \sqrt{ - 1} ) \\  =  - 18 + 3 \sqrt{ - 1}  + 24 \sqrt{ - 1}  - 4 \\  =  - 22 + 27 \sqrt{ - 1} \\ putting \:  \:  \:  \sqrt{ - 1 }  = i \\  =  - 22 + 27i

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