Answer:
y=1/2x + 3
Step-by-step explanation:
The first thing you need to know is that the slope of a perpendicular line is the opposite reciprocal of the other slope. Find the slope of this line, which is -2. The opposite reciprocal is 1/2. So, you know that the perpendicular line is equal to y=1/2x. Plug the x coordinate (4) in for x to have: y=1/2(4). Multiply 4 by 1/2 to get y=2. Since the y coordinate is supposed to equal 5, add 3 to y=2 to get 5. Since 3 is the amount we added, thats where the y intercept will be. Hope this helped!
Answer:
D) no solution
Step-by-step explanation:
1/ (x-2) + 1/(x+2) = 4/(x^2-4)
x cannot equal 2 or -2 since that would make our fractions equal 1/0 or be undefined
Factor the term on the right
1/ (x-2) + 1/(x+2) = 4/(x-2)(x+2)
Multiply both sides by (x-2) (x+2)
(x-2) (x+2) (1/ (x-2) + 1/(x+2)) = 4/(x-2)(x+2)*(x-2) (x+2)
Distribute
x+2 + (x-2) = 4
Combine like terms
2x = 4
Divide by 2
2x/2 = 4/2
x =2
But this is not a possible solution since that is not in the domain
Both ........................