Answer:
c,d,f
Step-by-step explanation:
I hope these r the answers.
-3/2 is the factor would multiply the second equation to eliminate y.
The correct option is (C).
<h3>What is factor?</h3>
A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.
Given equation is :
9x+3/4 y =6
2x+1/2 y =9
If we have to eliminate the y variable so we have to multiply it by factor -3/2
Then the second equation become
-3/2(2x+1/2 y =9)
-3x- 3/4 y =- 27/2
As we can see the y variable of both the equation is same.
Hence, -3/2 is the factor would multiply the second equation to eliminate y.
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Answer:
y =x² + y² + 2y - 35
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)²+(x-b)² = r²
Where; (a, b) is the center of the circle and r is the radius
Therefore;
(x-0)² +(y+1) = 6²
x²+ y² +2y + 1= 36
x² + y² + 2y - 35 = 0
Therefore; The equation of the circle is y = x² + y² + 2y - 35
Complete the square for the given equation
x² - 2x + ____ + y² - 2y + _____ = 98
x² - 2x + (1) + y² - 2y + (1) = 98 + (1) + (1)
(x - 1)² + (x - 1)² = 100
(x - 1)² + (x - 1)² = 10²
Now the equation is in the form (x - h)² + (y - k)² = r²
Radius = 10