HELPMEEEEEEEEEEEEE

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The center of the circle is (0, 2.25). 

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The line and circle are tangent when k= 2.

That is incorrect, when k=1, the line and circle intersect meaning the line is NOT tangent to the circle.

Rip I'm too slow 

The first digit has 8 choices, the second digit has 9 choices because you can't repeat digits but you can use 1 or 0 now, the third digit has 8 choice, the fourth digit has 7 choices, and the last digit has 6 choices. So 8*9*8*7*6= 24192 five-digit codes.

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XY+YX=77 and XY-YX=45 assuming XY>YX. Don't confuse that XY means X*Y but it means a two-digit integer XY. The numbers 16 and 61 fit these conditions where 61+16= 77 and 61-16= 45.

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Set up the equation 1,750*(100%-10%)^11 years= 549 cheetahs.

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Edit: Wrong Answer

f(1)= -1 and f(1000)= -3. The sum of the terms is equal to the average multiplied by the number of terms, so 1000(-1+-3)/2= -2000.

*Check me if I'm wrong

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b. y= e^x shifted 4 units left equals e^x+4.

c. y= g(x) shifted right 3 units is y= g(x)-3.

d. y= x^3-2x shifted right 3 units is y= x^3-2x-3.

Hope it helps!