Lim x>0- ((x+deltaX)^2+x+deltaX-(x^2+x))/deltaX
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
.
m is the slope of the line. To find it we can do which is the difference between the y-coordinates divided by the difference between the x-coordinates.
So: . Now we have the slope, let's input a set of coordinates into the equation so that we can find the constant
.
- Re-arranging to get b
Now re-write the equation as we have the constants.
<h3>Answer: (2, 2)</h3>
==============================================
Explanation:
The phrasing "translated along <4,6>" is another way of saying "shift 4 to the right, shift 6 up"
In general, "translated along <m,n>" is the same as writing . If m is positive, then we shift m units to the right. If m is negative, then we shift to the left. The same story happens with the n, but we focus on the y coordinate.
-------------
With all that in mind, starting at F(-5,-9) and translating along <4,6> has us arrive at (-1, -3). Add 4 to the x coordinate and add 6 to the y coordinate.
We can say
Showing that (-5,-9) moves to (-1,-3)
This is after the first translation, but there's a second translation.
We'll apply the same idea, but different numbers this time
So (-1,-3) moves to (2,2)
Overall we have
- (-5,-9) move to (-1,-3) after the first translation
- (-1,-3) move to (2,2) after the second translation
Therefore, the original point ends up at (2,2) which is the final answer
--------------
Extra info:
A nice shortcut is that the vectors <4,6> and <3,5> can be added to get <4+3,6+5> = <7,11>. So overall, we're shifting 7 units to the right and 11 units up when we combine the two translation vectors.