Answer:
x=2.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:
x coordinate:
and
y coordinate: 
where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:
the x coordinate of the directed point is
which simplifies down to -6, and
the y coordinate of the directed point is
which simplifies down to -1.
The coordinate of the point is (-6, -1). Write that down so you don't forget it.


When

, you're left with

When

or

, you're left with

Adding the two equations together gives

, or

. Subtracting them gives

,

.
Now, you have



By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that

and

. These alone tell you that you must have

and

.
So the partial fraction decomposition is
Answer:
$140
Step-by-step explanation:
i assume ur asking for how much is left over
250-35= 215
215-75= 140
$140 left
1. 6
2. 4
3. 5
4. area
5. perimeter
6. 12
7. 16
8.
. . _ . _ ._. . .
. |. . . |._. .
. |. . . . |. .
. |. . . . _|. .
. |. _. _. _|. . .
Area = 14
The borders enclose 14 squares that are 1 long and 1 unit wide.