Answer:
-8
Step-by-step explanation:
(x-3y=136) + (18x+3y=288) We collect both processes to make y's disappear
19x=-152
x=-8
Answer:
Eq: (x+a/2)²+(y+1)²=(a²-8)/4
Center: O(-a/2, -1)
Radius: r=0.5×sqrt(a²-8)
Mandatory: a>2×sqrt(2)
Step-by-step explanation:
The circle with center in O(xo,yo) and radius r has the equation:
(x-xo)²+(y-yo)²=r²
We have:
x²+y²+ax+2y+3=0
But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4
And
y²+2y+3=y²+2y+1+2=(y+1)²+2
Replacing, we get:
(x+a/2)²-a²/4+(y+1)²+2=0
(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4
By visual inspection we note that:
- center of circle: O(-a/2, -1)
- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)
Answer: 43
Step-by-step explanation:
Answer:
x=1/2, y=2;
Step-by-step explanation:
First pair:
2x-5y =-9
4x+5y=12
Add them together:
6x=3
x = 1/2
2(1/2) - 5y =-9
1-5y = -9
1+9=5y
y=10/5=2
