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mario62 [17]
3 years ago
5

A^3+4a^2+4a factor completely

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

So firstly, factor out the GCF, or greatest common factor. To find the GCF, list the factors of every term and the greatest one they all share is their GCF. In this case, the GCF is "a":

a(a^2+4a+4)

Next, we are going to apply the square of binomials rule in this situation, which is (x+y)(x+y)=x^2+2xy+y^2 In this case:

a^2+4a+4=(a+2)(a+2)\\\\a(a+2)(a+2)

<u>Your final answer is a(a+2)(a+2)</u>

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The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents
kvv77 [185]

Answer: \pi =\frac{47.1}{15}

Step-by-step explanation:

The complete exercise is: "The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents the value of π? "

In order to solve this exercise, it is important to remember that the circle can be calculated with the following formulas:

1. C=\pi D

Where "C" is the circumference of the circle and "D" is the diameter of the circle.

2. C=2\pi r

Where "C"  is the circumference of the circle and "r" is the radius of the circle (Remeber that the diameter is twice the radius).

In this case, the exercise gives you the circumference of the circle and its diameter. These are:

C=47.1\\\\d=15

Then, knowing those values, you can substitute them s into the first equation  C=\pi D, as following:

47.1=\pi (15)

The final step is to solve for \pi:

\pi =\frac{47.1}{15}

8 0
3 years ago
2. Con los siguientes vectores realice las operaciones expresadas con su gráfica ( polígono
Sindrei [870]

Gánster:

polígono

de nada

3 0
3 years ago
7
LUCKY_DIMON [66]

The answer is B. 15 cm

5 0
3 years ago
Aplumber charges a $75 flat fee for jobs lasting up to an hour and $30 for each hour of labor after the first hour. Which
tamaranim1 [39]
<h3><u>Answer</u>:- </h3>

\longrightarrow \sf 75+ 30(h-1)

<h3><u>Solution:-</u></h3>

<u>Given </u><u>that </u><u>:</u><u>-</u>

  • job last for h hours
  • Cost of job lasting more than 1 hour = $30
  • Cost for the first hour = $75

\leadstoRemaining hours for which the job will last after first hour= (h-1)

<u>Therefore</u>,

Cost for subsequent hours = 30×(h-1)

= 30(h-1)

Total Cost for job = Cost for 1st hour + Cost for subsequent hours

\quad\quad\quad\quad\quad\quad\quad\quad\boxed{\sf{= 75+30(h-1)}}

7 0
2 years ago
Which of the following is the solution to the inequality -2x-4 ≤ 11
Art [367]

Answer:

x\geq -\frac{15}{2}

Step-by-step explanation:

add 4 on both sides

leaves you with 15 on the right side

you then divide by negative 2

since you divide by a negative you have to switch the sign

4 0
3 years ago
Read 2 more answers
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