Answer:
x = 0 , 5
Step-by-step explanation:
Cross multiply,
2x* ( x - 2) = 3x *(x - 3)
2x*x - 2*2x = x*3x - 3*3x
2x² - 4x = 3x² - 9x
subtract 2x² from both sides
-4x = 3x² - 2x² - 9x {Combine like terms}
-4x = x² - 9x
Add 9x to both sides
-4x+ 9x = x²
x² = 5x
x² - 5x = 0
x(x - 5) = 0
x = 0 ; x - 5 = 0
x = 5
Answer:
Check boxes 3, 4, 6, and 8.
Step-by-step explanation:
We have the equation:
And we want to select all equations that are perpendicular to the above equation.
Remember that perpendicular lines have slopes who are negative reciprocals of each other.
Therefore, the slope of our equations must be the negative reciprocal of -3.
The negative reciprocal of -3 is 1/3. We flipped -3 to -1/3, and then multiplied by a negative.
Therefore, any equation with a slope of 1/3 is perpendicular to our original line.
Therefore, we will check boxes 3, 4, 6, and 8.
