Answer:
9m^2 + 18m + 9
Step-by-step explanation:
(3m + 3)2
Square ;
(a + b)^2 = a2 + b2 + 2ab
(3m + 3)2
= (3m)^2 + (3)^2 + 2 (3m)(3)
= 9m^2 + 9 + 18m
= 9m^2 + 18m + 9
The length is 8. Therefore, the width is 4.
The area of a rectangle is: 8*4=32 square units. The correct answer is (C)
Answer:
and
do not lie on the line
Step-by-step explanation:
Given

Required
Determine which points that are not on the line
First, we need to determine the slope (m) of the line:

Where


So;



Next, we determine the line equation using:

Where


becomes


To determine which point is on the line, we simply plug in the values of x to in the equation check.
For 
and 
Substitute 4 for x and 2 for y in 



<em>This point is on the graph</em>
<em></em>
For 
and
Substitute 4 for x and 3 for y in 



<em>This point is not on the graph</em>
<em></em>
For 
and 
Substitute 7 for x and 2 for y in 



<em></em>
<em>This point is not on the graph</em>
<em></em>
<em></em>
<em></em>
<em></em>
and<em> </em>
<em></em>
<em>Substitute </em>
<em> for x and </em>
<em> for y in </em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em>This point is on the graph</em>
Step-by-step explanation:
i = interest 3% for 30 years
This is a simple dynamical system for whom the the solutions are given as
](https://tex.z-dn.net/?f=S%3DR%5B%5Cfrac%7B%28i%2B1%29%5En-1%7D%7Bi%7D%5D%28i%2B1%29)
putting values we get
S=2000[\frac{(1.03)^{30}-1}{0.03}](1.03)
= $98005.35
withdrawal of money takes place from one year after last payment
To determine the result we use the present value formula of an annuity date

we need to calculate R so putting the values and solving for R we get
R= $6542.2356
The table with greater proportionality is table 3.
<h3>What is constant proportionality?</h3>
The constant of proportionality is the ratio between two directly proportional quantities.
As, the constant proportionality is
k= y/x
For table 1,
k = 1/1 = 2/2 =1
For table 2,
k = 6/1= 12/2 = 2
For table 3,
k = 5/1 = 10/2 = 5
For table 4,
k = 4/1 = 8/2 = 4
Hence, table 3 is with greater proportionality.
Learn more about this constant of proportionality here:
brainly.com/question/8598338
#SPJ1