Plug n = 1 into the expression 20-9n and we get
20-9n = 20-9*1 = 20-9 = 11
So 11 is the first term of the series that we add up. Therefore the answer must be choice C, which has 11 listed as the first term added
Determine the least three digit number that is divisible by 3,5, and 9
135
because 5 • 3 • 9 is 135 and there isn't a three digit number divisible by each of the three numbers
Answer:
1.
centre(h,k)=(-13,9)
radius (r)=6
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x+13)²+(y-9)²=6²
x²+26x+169+y²-18y+81=36
x²+y²+26x-18y+169+81-36=0
x²+y²+26x-18y +214=0
is a required equation of the circle.
2.
centre(h,k)=(1,-1)
radius (r)=11
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-1)²+(y+1)²=11²
x²-2x+1+y²+2y+1=121
x²+y²-2x+2y=121-2
x²+y²-2x+2y=119
is a required equation of the circle.
Answer:
The fraction is
Step-by-step explanation:
Let the numerator be x and denominator be y
So, Fraction = 
Now we are given that numerator and denominator of the fraction is increased by 2 and 1 respectively. it becomes 3/4
So, Fraction becomes :


----1
We are also given that the numerator and the denominator are decreased by 2 and 1 respectively , it becomes 1/2
So, Fraction becomes :


---- 2
Substitute the value of y from 2 in 1




Substitute the value of x in 2



So, Fraction = 
Hence The fraction is
Answer:

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