The limit is x---->4-
The negative show that x approaches from the left
Now
As x approaches 4 from the left ... Means This number should be less than 4 (<4) but really close to 4.
Let's pick a Number
Say 3.99
Substitute this... You have
3.99/3.99-4
3.99/-0.01
If we choose x to be 3.999
we will have
3.999/-0.001
Notice the pattern... As x approaches 4 from the left... This limit will approach NEGATIVE INFINITY
Why?
As you approach 4 from the left... 3.9,3.99,3.999... You notice that the denominator becomes negative and EXTREMELY SMALL... and when you divide by an extremely small Number..... You'll get a relatively HUGE VALUE(You can try this... Use a calc... Divide any number of choice by a very small number... say.. 0.0000001.... You'll get a huge result
In our case... The denominator is negative... So it Will Approach a very Huge Negative Number
Hence
Answer.. X WILL APPROACH NEGATIVE INFINITY.
Vertical asymptotes are the zeroes of the denominator of a function
The denom. is x-4
Equate to zero to get the asymptote
x-4=0
x=4
Hence... There will be a vertical asymptote at x=4.
Have a great day!
Answer:
english pls
Step-by-step explanation:
Answer:

Step-by-step explanation:
Similar shapes with scale factor
have proportional volumes with coefficient
i.e.

where

Since

then

Hence,

The volume of the cylindrical water tank that has a length of 20 feet and a radius of 12 feet is about <u>9,048</u> cubic feet.
The correct option is option <em>d</em>;
d. 9,048
<h3>What is the volume of a solid?</h3>
The volume of a solid indicates the amount of space the solid takes at a location.
The formula for finding the volume of the cylindrical tank is presented as follows;
<em>V</em> = π·r²·L
Where;
r = The radius of the tank
L = The length of the tank
From a similar question on the website, we have;
The length of the tank, <em>L</em> = 20 feet
Therefore;
The volume of the tank, <em>V</em> = π × 12² × 20 ≈ 9048
- The volume of the water tank is about <u>9,048</u> cubic feet
Learn mort about finding the volume of a solid here:
brainly.com/question/23725200
# SPJ1
Answer:
1920
Step-by-step explanation:
The volume of the rectangle is 1920.