Answer:
Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions. Two lines are skew if and only if they are not coplanar.
Step-by-step explanation:
Answer:
A) 
B) 
C) 
Step-by-step explanation:
So we have the equation:

Let's write this in function notation. Thus:

A)
To flip a function over the x-axis, multiply the function by -1. Thus:

Simplify:

B) To flip a function over the y-axis, change the variable x to -x. Thus:

Simplify:

C) A reflection over the line y=x is synonymous with finding the inverse of the function.
To find the inverse, switch x and f(x) and solve for f(x):

Switch:

Subtract 4 from both sides:

Divide both sides by 5:

And we're done :)
First, think this through. If you are 23 miles from Sacramento, and 110 miles from Oakland (I am assuming it is miles since you didn't specify *cough cough*) then the two cities are 133 miles apart (also assuming you are in between them)

so, we use the midpoint formula to find our position

and get 66.5 miles from both Sacramento and Oakland.
Next, we already know the sign is 23 miles away from Sacramento so we can use that distance and our position to figure out how far away the sign is. We use absolute values because distance is always positive.

so we get

to double check, use the sign's distance from Oakland.

so, we are 43.5 miles from the sign!
hope this helps
Answer:
number 1. is C and number 2. is A
6x+1 / 2x +6 - 5/2
Factor 2 out of the denominator of the first fraction:
6x+1 / 2(x+3) - 5/2
Rewrite 5/2 to have a common denominator with the first fraction:
6x+1/2(x+3) - 5(x+3) / 2(x+3)
Simplify terms:
6x +1 - 5(x+3) / 2(x+3)
Use distributive property:
6x +1 - 5x -15 / 2(x+3)
Combine like terms for final answer:
(x-14) / 2(x+3)