Answer:
As we get closer to x=-3, the limit is approaches -1, on both sides of -3 so this is a good limit so c is 8.
Step-by-step explanation:
In order for a limit to exists, the left side limit must exist and right side limit must exist and on top of that, they must be equal to each other.
In this case, this a piece wise function and by definition of a limit that exist, the limit of this piece wise function as x approaches 3 from either side, must be equal.
We let x=-3 for the top equation.

So we set the second equation equal to -1.




So the value of c is 8. We can prove this by graphing as well.
Answer:
88 > 9
59 > 41
157 < 174
18 < 129
Step-by-step explanation:
< means Less Than
> means Greater Than
= means Equal to
Now,
88 > 9
59 > 41
157 < 174
18 < 129
<u>-TheUnknownScientist</u><u> 72</u>
<span>See examples before for the method to solving literal equations for a given variable: Solve A = bh for b. Since h is multiplied times b, you must divide both sides by h in order to isolate b. Since (c+d) is divided by 2, you must first multiply both sides of the equation by 2. my own words didnt get off google im a teacher</span>
Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,





Taking square root on both sides.


Height cannot be negative. Round to the nearest foot.

Therefore, the height of the ladder on the wall is 39 foot.
The missing exponent is 2