Hi there!
For a system to have infinite solutions, the lines have to be the same. We can begin by rearranging the given equation into the format y = mx + b:
2y - 4x = 6
Move x to the opposite side:
2y = 4x + 6
Divide all terms by 2:
y = 2x + 6
The answer choice that matches this is the first one.
Answer:
y = 2/3x +6 for x< -3
y = 2/3x +1 for x> 3
Step-by-step explanation:
The graph is a line for x < -3
( - 6,2) and ( -3,4)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point ( -6,2)
y -2 = 2/3(x - -6)
y -2 = 2/3(x +6)
y-2 = 2/3 x +4
y = 2/3x +6 x< -3
The graph is a line for x > 3
(3,3) and ( 6,5)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 5-3)/(6-3) = 2/ (3) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point (6,5)
y -5 = 2/3(x - 6)
y-5 = 2/3 x -4
y = 2/3x +1 x> 3
Measure 2 sides, then multiply them, and divide by 2.
the answer would be 100 pounds of chicken and 30 pounds of beef
The formula for a circle is:
(x-p)^2+(y-q)^2=r^2
The radius is given (r=6), as well as the centre of the circle (-2;3).
"p" and "q" represent the coordinates of the centre of the circle.
So it would look like this -
(x-p)^2+(y-q)^2=r^2
p=x-coordinate (-2)
q=y-coordinate (3)
r=6
(x-(-2))^2+(y-(3))^2 =6^2
(x+2)^2 + (y-3)^2 = 36
***"^" means "to the power of"
Hope this helped~
