The circle equation is in the format (x – h)2 + (y – k)2= r2, with the center being at the point (h, k) and the radius being "r".
Therefore (x – 1)2 + (y +5)2= 102
x2 + y2 + 1 - 2x + 25 + 10y = 100
x2 + y2 - 2x + 10y = 74
Answer:
The answer to the given equation -g+2(3+g)=-4(g+1) is g=-2
Step-by-step explanation:
Given -g+2(3+g)=-4(g+1)
To solve the given equation :
-g+2(3+g)=-4(g+1)
Applying the distributive property we get
-g+2(3)+2(g)=-4(g)+(-4)(1)
-g+6+2g=-4g-4
g+6=-4g-4 ( adding the like terms )
g+6-(-4g-4)=-4g-4-(-4g-4)
Applying the distributive property we get
g+6-(-4g)-(-4)=-4g-4-(-4g)-(-4)
g+6+4g+4=-4g-4+4g+4
5g+10=0 ( adding the like terms )
5g+10-10=0-10
5g=-10 ( adding the like terms )
Therefore g=-2
The answer to the given equation -g+2(3+g)=-4(g+1) is g=-2
Answer: x = 5 , y = -1
Step-by-step explanation:
Given:
x + y = 4 ................. equation 1
x - y = 6 .................. equation 2
Solving the simultaneous equation by elimination method;
From equation 1 make x the subject of the formula , that is
x = 4 -y ............ equation 3
substitute equation 3 into equation 2 , we have
4 - y - y = 6
4 - 2y = 6
Add 2y to both sides , we have
4 = 6 + 2y
subtract 6 from both sides , we have
4 - 6 = 2y
- 2 = 2y
divide both sides by 2
-2/2 = y
Therefore : y = -1
Substitute y = -1 into equation 3 , we have
x = 4 - (-1)
x = 4 + 1
x = 5
