Answer:
See attachment for rectangle
Step-by-step explanation:
Given



Required
Draw the rectangle
First, we calculate the distance between A and B using distance formula;

So, we have:





The above represents the length of the triangle.
Next, calculate the width using:


Divide both sides by 2

This implies that, the width of the rectangle is 6 units.
We have:


Since A and B are at the upper left and right, then the ther two points are below.
6 units below each of the above point are:
=> 
=> 
Hence, the points of the rectangle are:




<em>See attachment for rectangle</em>
Answer: 12
Step-by-step explanation:
We know that , the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.
For example : For x= 1.5
y = [1.5] =2
For x= 3.64
y = ⌊3.64⌋=4
The given function :
Then, for x= 5.9 , we have
[since [3.9]=4 (least integer function)]
Therefore, the value of f(5.9) is 12
The given sequence is:

a(2)=1
a(3)=3
a(4)=9
We are to find the average rate of change between n=3 and n=4 for the given function.
Average rate of change =

So the average rate of change for the given function from n = 3 to n = 4 is 6
Answer:
Mixed number= 3 1/3
Improper fraction= 10/3
Step-by-step explanation:
lol sorry :/