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3 years ago

Which is a factor of 4x2 + 36x + 72?

Mathematics

2 answers:

olga55 [171]3 years ago

5 0

If you factor that out, it would be 4(x+6)(x+3)

s2008m [1.1K]3 years ago

4 0

Answer:

Factorization of $4x^2 + 36x + 72$ is:

4(x+3)(x+6)

factors are: 4, x+3 and x+6

Step-by-step explanation:

we are given a expression:

$4x^2 + 36x + 72$

We have to factorize this expression

$4x^2 + 36x + 72=4(x^2+9x+18)$

Now, we factorize $(x^2+9x+18)$

$x^2+9x+18=x^2+6x+3x+18\\\\=x(x+6)+3(x+6)\\\\=(x+3)(x+6)$

Hence, factorization of $4x^2 + 36x + 72$ is:

4(x+3)(x+6)

factors are: 4, x+3 and x+6

You might be interested in

It takes Dwight 1 1/3 hours to run the sunshine trail. Mike 3 1/5 hours to walk the same trail. How many times as long does it t

Anit [1.1K]

For this case we convert the mixed numbers to fractions:

Dwight: $1 \frac {1} {3} = \frac {3 * 1 + 1} {3} = \frac {4} {3} = 1.33$

Mike: $3 \frac {1} {5} = \frac {5 * 3 + 1} {5} = \frac {16} {5} = 3.2$

It is observed, that in fact, Mike takes more time to travel the road.

We subtract to know how much more time it takes Mike:

$\frac {16} {5} - \frac {4} {3} = \frac {48-20} {15} = \frac {28} {15}$

So, Mike takes $\frac {28} {15}$ hours more than Dwight to walk the road.

Answer:

Mike takes $\frac {28} {15}$ hours longer than Dwight to walk the road.

7 0

2 years ago

1. If a side started out with a side length of 11 and ended with a side length of 71 what is the dilation's scale factor? Write

jeka57 [31]

Regarding dilation, it is found that:

1. The scale factor is of 6.45

2. The scale factor is of 1.4375.

3. the image will be smaller than the pre-image.

<h3>Dilation</h3>

A dilation is one type of transformation that is applied to images, in which the side lengths are multiplied by a constant called scale factor, changing the side lengths of the image.

In item a, the initial length was of 11 and the final length is of 71, hence the multiplier, which is the scale factor, is given as follows:

71/11 = 6.45.

In item b, the initial length was of 16 and the final length was of 23, hence the scale factor is given as follows:

23/16 = 1.4375.

For item 3, the multiplier is a number that is less than 1, meaning that the image is smaller than the pre-image.

More can be learned about dilation at brainly.com/question/3457976

#SPJ1

6 0

1 year ago

What could explain what happened when the time was equal to 120 minutes

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

Alright, lets get started.

Lets split the given graph in three parts.

First part: 0 to 30 minutes

We can see between this period, 0 to 30 minutes, the distance from home keeps increasing. It means from 0 to 30 minutes, Eli is moving towards the library.

Second part: 30 to 120 minutes

between 30 to 120 minutes,the distance from home does not changes. It means during this period, Eli is at the library.

Third part : 120 minutes to 135 minutes

Between 120 to 135 minutes, the distance from home is decreasing.

It means Eli is returning home in that period.

It means, at 120minute, Eli started her bicycle , home from the library. Hence option (b) : Answer

Hope it will help :)

5 0

3 years ago

What is the angle of elevation to a building that is 220 feet tall and 410 feet away?

bogdanovich [222]

Answer:

not enogh points

Step-by-step explanation:

4 0

2 years ago

A square rug measures 8 feet by 8 feet. find the diagonal distance of the rug to the nearest whole number

Tanzania [10]

This is a right angle triangle and you use the Pythagorean theorem to solve for the hypotenuse (the diagonal)

A^2 + B^2 = C^2
8^2 + 8^2 = C^2
64 + 64 = C^2
128 = C^2
C = square_root (128)
C = 11 (to the nearest whole number)

The diagonal is 11 feet (to the nearest whole number)

7 0

3 years ago