Answer:
3x+4x+7
Step-by-step explanation:
First, a Trinomial consists of three terms.
so we have <u>blank</u>+<u>blank</u>+<u>blank</u>
Next we need to add the coefficients.
<u>3</u>+<u>4</u>+<u>blank</u>
Add the variables.
3x+4x+<u>blank</u>
And lastly, add the constant.
3x+4x+7
Good luck!
Answer:
The 21st term is 137.
Step-by-step explanation:
Arithmetic progression:
In an arithmetic progression the difference between consecutive terms is always the same, and its called common difference.
The nth term is given by:

In which
is the first term and d is the common difference.
The first two terms are -3, 4.
This means that 
So


The 21st term is

The 21st term is 137.
Answer:
and 
The ordered pair solutions are
,
,
, and
.
Step-by-step explanation:
I'm assuming the system is
:


























Therefore,
and 
The ordered pair solutions are
,
,
, and
.
Answer:
When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times
Step-by-step explanation:
We have that the formula for the volume of a cone is:
Vc = pi * (r ^ 2) * h
We first calculate the original volume, where the radius is 2 and the height is 9, replacing:
Vc = 3.14 * (2 ^ 2) * 9
Vc = 113.04
Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:
Vc = 3.14 * (6 ^ 2) * 9
Vc = 1017.36
If we compare:
1017.36 / 113.04 = 9
This means that when the radius is tripled, the volume increases 9 times.
When if re reduces to a third the radius would be: 2/3, replacing:
Vc = 3.14 * ((2/3) ^ 2) * 9
Vc = 12.56
113.04 / 12.56 = 9
Which means that by reducing it to a third the volume becomes 9 times smaller.
Answer:
1/5
Step-by-step explanation:
2 units divided into 5 marks each = 10 marks
2/10 = 1/5 unit each mark