x^2 + y^2 + 2x - 6y + 1 = 0
x^2 +2x + 1 + y^2 - 6y = 0
x^2 + 2( x × 1) + 1^2 + y^2 - 2(y×3) + 3^2 -3^2 =0
(x+1)^2 + (y-3)^2 = 3^2
comparing with circle equation
(x-a)^2 + (y - b)^2 = r^2
where (a , b) is centre of circle.
so we get center of circle is
(-1, 3)
If the CPI increased by 8.3%, therefore this means that
there was a fractional increase of 0.083. So amount increased is:
CPI increase = 141 * 0.083 = 11.703
Therefore the end of year CPI is the sum of the original and
the increase:
end of year CPI = 141 + 11.703 = 152.703
Answer:
152.703
Answer:
The geometrical relationships between the straight lines AB and CD is that they have the same slope
Step-by-step explanation:
Given


Required
The relationship between AB, CD
Since AB is a straight line and O is the origin, then:

Where:
====> 
====>
This implies that:
So:



So, we have:


Calculate the slope (m) of 

For AB


For CD



By comparison:

This implies that both lines have the same slope
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate
The greatest common factor of both x^4 and x^3 would be x^3, since the largest number of X variables that you can evenly take out between both terms is x^3 or x cubed.