Answer:
x=1, y=1. (1, 1). The answer is D).
Step-by-step explanation:
3x-5y=-2
4x-7y=-3
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4(3x-5y)=4(-2)
-3(4x-7y)=-3(-3)
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12x-20y=-8
-12x+21y=9
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y=1
3x-5(1)=-2
3x-5=-2
3x=-2+5
3x=3
x=3/3
x=1
Answer:
55 =x
Step-by-step explanation:
x+15=2x-40
Subtract x from each side
x-x+15=2x-x-40
15 = x-40
Add 40 to each side
15+40 = x-40+40
55 =x
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)
Y2-Y1
Over X2-X1 and then there is your slode
An equal sign is a symbol in mathematics.
It is to indicate that the given terms are <span>equal.
It is also used to </span>indicate a mathematical <span>equality.
An equal sign looks like ( </span>
) this.
