- 38.79
- 3053.63
- 904.78
- 2544.69
- 226.19
- 402.12
- 1072.33
- 1526.81
- 28.73
- 113.1
- 3801.33
- 268.08
- 2094.4
- 75.4
- 94.25
- 37.7
- 1884.96
- 2065.24
- 19861.7
- 1385.44
- 287.98
- 4.19
- 3619.11
- 113.1
- 50.27
I did this really quick so I hope all the answers are right, and double check them if you have time just in case
Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20
Answer:
Step-by-step explanation:
-x-2y+4z=-14
x=-2y+4z+14
2x+2y+2z=-6
2x=-2y-2z-6
x= -y-z-3
-x-6z=-3
x=3-6z
Answer:
<em>The area of the shaded region is 3.</em>
Step-by-step explanation:
Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

Where At is the area of each triangle.


We know AB=3 and BC=2, thus:

Simplifying:

Finally:


The area of the shaded region is 3.
Note the area of the shaded region is half the area of the rectangle.