Answer:
and 
Step-by-step explanation:
Given that 
and 
, the parametric equations are obtained by algebraic means:
1) Given
2) 
Given
3) 
Associative and modulative properties
4) ![y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11](https://tex.z-dn.net/?f=y%20%3D%205%5Ccdot%20%5Cleft%5B%28-1%29%5E%7B-1%7D%20%5Ccdot%20%28-1%29%5Cright%5D%5Ccdot%20x%20%2B11)
Existence of multiplicative inverse/Commutative property
5) ![y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11](https://tex.z-dn.net/?f=y%20%3D%20%5B5%5Ccdot%20%28-1%29%5E%7B-1%7D%5D%5Ccdot%20%5B%28-1%29%5Ccdot%20x%5D%2B11)
Associative property
6) 
/ 
7) 
Modulative property
8) ![y = -5\cdot [-x + 2 + (-2)]+11](https://tex.z-dn.net/?f=y%20%3D%20-5%5Ccdot%20%5B-x%20%2B%202%20%2B%20%28-2%29%5D%2B11)
Existence of additive inverse
9) ![y = -5 \cdot [(2-x)+(-2)]+11](https://tex.z-dn.net/?f=y%20%3D%20-5%20%5Ccdot%20%5B%282-x%29%2B%28-2%29%5D%2B11)
Associative and commutative properties
10) 
Distributive property
11) 
12) 
By 1)
13) 
/Result
14) 
Compatibility with addition
15) 
Compatibility with addition
16) ![[t+(-t)]+x= 2 + [x+(-x)]+(-t)](https://tex.z-dn.net/?f=%5Bt%2B%28-t%29%5D%2Bx%3D%202%20%2B%20%5Bx%2B%28-x%29%5D%2B%28-t%29)
Associative property
17) 
Associative property
18) Associative and commutative properties/Definition of subtraction/Result
In consequence, the right answer is and .
Shifting a circle results to changes in the coordinates of the circle. For instance, if the coordinates of the center of the circle is taken to be (0,0), the new coordinates will be [(0+5),(0+2)] after shifting. The equation of the circle will also change with the same margin.
That is, the new equation will be;
(5+x)^2+(2+y)^2 =19
Notice, only the coordinates changes.
Answer:
$1.40 per pint
Step-by-step explanation:
4 cups is the same as 2 pints.
If 2 pints cost $2.80
divide $2.80 by 2
and get $1.40 per pint
36.89 total divided by the 8.6 gallons he bought = 4.2 so the price per gallon would be $4.20
