Step-by-step explanation:
X= 4-3y/y-5
x(y-5) = 4-3y
xy -5x = 4 -3y
xy+3y = 4+5x
y(x+3)= 4+5x
y = (4+5x)/(x+3)
Answer:
x-1/2 is in fact a factor of 8x3-4x2+10x-5 so you are correct
Step-by-step explanation:
The equation can be simplified into (2x-1)(4x2+5) and 1/2 is one of the factors
Hello!
To find the line perpendicular to the given line, y = 2x + 3, firstly, find the slope of the perpendicular line. To find it, use this format: -1/m, where m is the slope. It is also called the "negative reciprocal" of the slope of the given line.
Then, you substitute an ordered pair into a new slope-intercept equation (with the slope) and find the y-intercept.
-1/m when m = 2 → -1/2
y = -1/2x + b (substitute the given ordered pair)
-3 = -1/2(2) + b (simplify)
-3 = -1 + b (add 1 to both sides)
-2 = b | The y-intercept of the perpendicular equation is -2.
Therefore, the line perpendicular to the given equation, that also goes through the given ordered pair is y = -1/2x - 2.
