0
Rate this Study Guide:
☆☆☆☆☆2x / (y-2) + 2x / (2-y)
First get a common denominator: (y-2) (2-y)
Then you have:
2x(2-y) / (y-2)(2-y) + 2x(y-2) / (y-2)(2-y), summing and simplifying, you get:
(4x-4) / (y-2)(2-y)
3. 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9 8 2 1 4 8 0 8 6 5 1 3 2 8 2 3 0 6 6 4 7 0 9 3 8 4 4 6 0 9 5 5 0 5 8 2 2 3 1 7 2 5 3 5 9 4 0 8 1 2 8 4 8 1 1 1 7 4 5 0 2 8 4 1 0 2 7 0 1 9 3 8 5 2 1 1 0 5 5 5 9 6 4 4 6 2 2 9 4 8 9 5 4 9 3 0 3 8 1 9 6 4 4 2 8 8 1 0 9 7 5 6 6 5 9 3 3 4 4 6 1 2 8 4 7 5 6 4 8 2 3 3 7 8 6 7 8 3 1 6 5 2 7 1 2 0 1 9 0 9 1 4 5 6 4 8 5 6 6 9 2 3 4 6 0 3 4 8 6 1 0 4 5 4 3 2 6 6 4 8 2 1 3 3 9 3 6 0 7 2 6 0 2 4 9 1 4 1 2 7 3 7 2 4 5 8 7 0 0 6 6 0 6 3 1 5 5 8 8 1 7 4 8 8 1 5 2 0 9 2 0 9 6 2 8 2 9 2 5 4 0 9 1 7 1 5 3 6 4 3 6 7 8 9 2 5 9 0 3 6 0 0 1 1 3 3 0 5 3 0 5 4 8 8 2 0 4 6 6 5 2 1 3 8 4 1 4 6 9 5 1 9 4 1 5 1 1 6 0 9 4 3 3 0 5 7 2 7 0 3 6 5 7 5 9 5 9 1 9 5 3 0 9 2 1 8 6 1 1 7 3 8 1 9 3 2 6 1 1 7 9 3 1 0 5 1 1 8 5 4 8 0 7 4 4 6 2 3 7 9 9 6 2 7 4 9 5 6 7 3 5 1 8 8 5 7 5 2 7 2 4 8 9 1 2 2 7 9 3 8 1 8 3 0 1 1 9 4 9 1 2 9 8 3 3 6 7 3 3 6 2 4 4 0 6 5 6 6 4 3 0 8 6 0 2 1 3 9 4 9 4 6 3 9 5 2 2 4 7 3 7 1 9 0 7 0 2 1 7 9 8 6 0 9 4 3 7 0 2 7 7 0 5 3 9 2 1 7 1 7 6 2 9 3 1 7 6 7 5 2 3 8 4 6 7 4 8 1 8 4 6 7 6 6 9 4 0 5 1 3 2 0 0 0 5 6 8 1 2 7 1 4 5 2 6 3 5 6 0 8 2 7 7 8 5 7 7 1 3 4 2 7 5 7 7 8 9 6 0 9 1 7 3 6 3 7 1 7 8 7 2 1 4 6 8 4 4 0 9 0 1 2 2 4 9 5 3 4 3 0 1 4 6 5 4 9 5 8 5 3 7 1 0 5 0 7 9 2 2 7 9 6 8 9 2 5 8 9 2 3 5 4 2 0 1 9 9 5 6 1 1 2 1 2 9 0 2 1 9 6 0 8 6 4 0 3 4 4 1 8 1 5 9 8 1 3 6 2 9 7 7 4 7 7 1 3 0 9 9 6 0 5 1 8 7 0 7 2 1 1 3 4 9 9 9 9 9 9 8 3 7 2 9 7 8 0 4 9 9 5 1 0 5 9 7 3 1 7 3 2 8 1 6 0 9 6 3 1 8 5 9 5 0 2 4 4 5 9 4 5 5 3 4 6 9 0 8 3 0 2 6 4 2 5 2 2 3 0 8 2 5 3 3 4 4 6 8 5 0 3 5 2 6 1 9 3 1 1 8 8 1 7 1 0 1 0 0 0 3 1 3 7 8 3 8 7 5 2 8 8 6 5 8 7 5 3 3 2 0 8 3 8 1 4 2 0 6 1 7 1 7 7 6 6 9 1 4 7 3 0 3 5 9 8 2 5 3 4 9 0 4 2 8 7 5 5 4 6 8 7 3 1 1 5 9 5 6 2 8 6 3 8 8 2 3 5 3 7 8 7 5 9 3 7 5 1 9 5 7 7 8 1 8 5 7 7 8 0 5 3 2 1 7 1 2 2 6 8 0 6 6 1 3 0 0 1 9 2 7 8 7 6 6 1 1 1 9 5 9 0 9 2 1 6 4 2 0 1 9 8 9
2y = 8
y = 4 this is the equation of a horizontal line. The slope is 0, and the y-intercept is 4.
4x-2y
x + 2y = 7
2y = -x + 7
y = -(x-7)/2 => -x/2 + 7/2
2x - y = 7
-y = -2x + 7
y = 2x + 7
Since -1/2 is the negative reciporical of 2, the slopes of these equations are perpendicular. Therefore, these two lines are perpendicular.
The slope is zero.
y-2x=3
-y -y
-2x=3-y
-3 -3
-2x-3=-y
/-1 /-1
2x+3=y
y=2x and y=2x+3 have the same slope of 2, so they are parallel.
Hope this helps! ;D
They are parallel lines.
Convert the equation 2y = 5x - 4 into standard form then y = 2.5x - 2.
Two straight lines are perpendicular if the product of their gradients is -1.
Let the equation of the perpendicular line by y = mx + b. Then, 2.5m = -1 : m = -1/2.5
The y intercept occurs when x = 0. Then -3 = 0 + bc : b = -3
The equation of the perpendicular line is y = -1/2.5x -3 or 5y = -2x -15
neither
perpendicular
They are parallel lines
If the original line has the equation 2y = 7x then this can be written as y = 3.5x and the slope of this line is thus 3.5.
Two straight lines are perpendicular if the product of their gradients is -1.
Let m be the slope of the perpendicular line then, 3.5m = -1 : m = -1/3.5 = -2/7
The equation of the perpendicular line is thus, y = -2/7 * x + b where b is the intercept. As b = 5 then the equation becomes y = -2/7*x + 5
We can multiply by 7 to eliminate the fraction, 7y = -2x + 35
and re-order the terms to become 7y = 35 - 2x
-2X + 2Y = 4
2Y = 2X + 4
Y = X +2
by inspection, 2
but, you could also 0 out X in original equation
-2(0) + 2Y = 4
2Y = 4
Y = 2
parell
They are parallel straight lines,
2
parrell
It is not one, but they are two perpendicular lines.
perpendicular
1
Expression.
Points: (10, 8) and (15, 8)
Slope: 0
It will be a straight horizontal line
As stated these are not lines, but just a collection of algebraic terms. If we change them to y=2x and y=2x-1, then on a graph of y versus x, these are parallel lines separated by vertical distance of 1.
-2x + 2y = 4 is equivalent to twice -2 + y = 2 which is the equation of a straight line.
They are intersecting lines.
From a rough sketch they appear to be parallel lines but for a more accurate answer plot the points on the Cartesian plane
If: 12 = 2y+x then y = -1/2x+6
So: y = 2x+4 and y = -1/2x+6 which means that they are perpendicular lines
