Answer:
The equation of the circle is given by:
(x-a)^2+(y-b)^2=r^2
where:
(a,b) is the center of the circle
given that the center of our circle is (2,3) with the radius of 5, the equation will be:
(x+2)^2+(y+3)^2=5^2
expanding the above we get:
x^2+4x+4+y^2+6y+9=25
this can be simplified to be:
x^2+4x+y^2+6y=25-13
x^2+y^2+4x+6y=12
Answer:
a=2 , b= (-1)
Step-by-step explanation:
8a-4b=20/×(-2)
5a-8b=62
-16a+8b= -40
5a-8b=62
now -8+8=0 right? so the only parameter that we have is a.
-16a+5a= -40+62
11a = 22/(÷11)
a=2
in order to find b, we will replace a with its value in one of the original equations (it doesn't matter which one you will choose).For instance, I chose the first one.
8×2-4b=20
-4b=20-16
-4b=4/÷(-4)
b= -1
x(3x+5) since we factorize it
Answer: two over three
Step-by-step explanation:

line intercepts y at (0,-2)
Therefore, 
Substitute x = 3 in y =ax-2

To find the x-intercept, y = 0

The slope is 2/3
y-intercept is -2
So two over three
Answer:
3 + 2n
Step-by-step explanation:
2 + 1 = 3.
2n cannot be added into this because it has a letter in front of it. Therefore, it stays on its own.