Answer:
Step-by-step explanation:
circle A is
x²+y²+6x-4y-12=0
x²+6x +y²-4y =12
think (a+b)² = a²+2ab+b² we have a=x, b= 3
and (a-b)² = a²-2ab+b² so we have a=y, b=2
x²+6x +9 +y²-4y+4 = 12-9-4
(x+3)² +(y-2)²= -1
compare to the general equation of a circle (x-h)²+(y-k)² =r²
the center is at (-3,2) and the radius is √-1 =i
Circle B has center (0, -4) and radius 3 so the equation is
(x-0)²+(y-(-4))² =3²
x² +(y+4)² = 9
point (√8, -3) is on the circle if it verifies the equation
√8² +(-3+4)² = 9
8+1 =9 true so the point is on the circle
Circle A and circle B are not similar because they do not have the same center and radius
The correct answer is d15
Answer: $272,500
I hit this by first doing the step by step things and then adding all of them up.
Answer:
![= {x}^{ - 11} {y}^{ - 11} {z}^{ - 10}](https://tex.z-dn.net/?f=%20%3D%20%20%7Bx%7D%5E%7B%20-%2011%7D%20%20%7By%7D%5E%7B%20-%2011%7D%20%20%7Bz%7D%5E%7B%20-%2010%7D)
Step-by-step explanation:
![= \frac{ {x}^{ - 9} {y}^{ - 5} {z}^{ - 7} }{ {x}^{2} {y}^{6} {z}^{3} } \\ = {x}^{ - 9 - 2} {y}^{ - 5 - 6} {z}^{ - 7 - 3} \\ = {x}^{ - 11} {y}^{ - 11} {z}^{ - 10}](https://tex.z-dn.net/?f=%20%20%3D%20%5Cfrac%7B%20%7Bx%7D%5E%7B%20-%209%7D%20%7By%7D%5E%7B%20-%205%7D%20%20%20%7Bz%7D%5E%7B%20-%207%7D%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B6%7D%20%7Bz%7D%5E%7B3%7D%20%20%7D%20%20%5C%5C%20%20%20%3D%20%7Bx%7D%5E%7B%20-%209%20-%202%7D%20%20%7By%7D%5E%7B%20-%205%20%20%20-%206%7D%20%20%7Bz%7D%5E%7B%20-%207%20-%203%7D%20%20%5C%5C%20%20%3D%20%20%7Bx%7D%5E%7B%20-%2011%7D%20%20%7By%7D%5E%7B%20-%2011%7D%20%20%7Bz%7D%5E%7B%20-%2010%7D%20)