Given expression: 
We need to add the given rational expressions.
First step: Combined like terms in the numerator and kept the common denominator.
Second step they applied : Canceling the like term x^2 and got 
Note: We can't cancel like terms in top and bottom like this.
We can cancel out common factors in top an bottom.
<h3>Therefore, Micah did not add the expressions correctly.</h3>
Answer:
y = - x² + 4
Step-by-step explanation:
The equation of a parabola whose vertex is on the y- axis is
y = ax² + c
where a is a multiplier and c is the y- intercept
• If a > 0 then minimum vertex
• If a < 0 then maximum vertex
Here vertex is a max, thus a = - 1 and c = 4
Then equation of parabola is
y = - x² + 4
Answer:
The equation of the perpendicular line would be y = -5/2x + 7
Step-by-step explanation:
In order to find this line, we must first find the slope of the original line. We do this by solving for y.
2x - 5y = 6
-5y = -2x + 6
y = 2/5x - 6/5
This shows us a slope of 2/5. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negate 2/5 to get -2/5 and then we flip it to get -5/2. Now that we have this, we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = -5/2(x - 2)
y - 2 = -5/2x + 5
y = -5/2x + 7
