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
Answer: slopes will be the same!
Step-by-step explanation:
Answer:-12 yards
Step-by-step explanation:7 yards - 19yards
you are at 0 after you subtract 7 and you still need to subtract 12 more and that is how you get -12 subtract 12 frome 0 and you get -12
7-19=-12
So for this you need to find 15% of 60. There are a few ways to do this but I prefer to do it like this.
First, find 10% of 60. This can be found by dividing 60 by 10, because 100%/10% is 10.
This gives 10%=6
5% is half of 10%, so divide your answer for 10% (6), by 2.
This gives 5%=3
We needed 15%, so we add our 10% and 5% together, to get 9.
15% of 60 is 9, meaning there are 9 puppies.
Hope this helps!
Answer:
let second side be x
then first side = x-13
third side= x+1
now
perimeter of triangle = 45
x-13+x+x+1=45
3x=57
x=19
first side = x-13= 19-13=6
third side= x+1=19+1=20
Step-by-step explanation: