Answer:
-1, 2, 6
Step-by-step explanation:
We have to solve the equation as follows: 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).
Now, we have, 
⇒
⇒
⇒
⇒![(x-2)(x-6)[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0](https://tex.z-dn.net/?f=%28x-2%29%28x-6%29%5B%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%20-5x-2%7D%20-%5Cfrac%7B1%7D%7B4%7D%20%5D%3D0)
⇒
or, ![[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%20-5x-2%7D%20-%5Cfrac%7B1%7D%7B4%7D%20%5D%3D0)
If, (x-2)(x-6) =0, then x=2 or x=6
If,
, then 
and (x-6)(x+1) =0
Therefore, x=6 or -1
So the solutions for x are -1, 2 6. (Answer)
Answer:
y=-1/2x+24
Step-by-step explanation:
you solve for y by isolating the y on one side of the equation and the rest of the equation on the opposite side of the equal sign.
1/2x-1/2x+y=24-1/2x
y=24-1/2x
rewritten: y=-1/2x+24
Answer:
4.75 inches.
Step-by-step explanation:
We must introduce the symbols for inches and feet.
Here we will use, x' = x feet and x" = x inches
A high school track teams long jump record is 21 feet and
inches i.e. 21'2.25" this year.
Now, Tim's best long jump is 20 feet and
inches i.e. 20'9.5".
So, the difference between the record jump and Tim's best jump is
(21'2.25" - 20'9.5")
= (21'2.25" - 21') + (21' - 20'9.5")
= 2.25" + 2.5" {Since, 1' = 12" i.e. 21' = 20' 12"}
= 4.75"
Therefore, Tim has to jump 4.75 inches farther to break the record. (Answer)