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2 years ago

Factor completely 4x2 + 16x.

Mathematics

2 answers:

IceJOKER [234]2 years ago

5 0

Answer: The complete factored form of the given expression is $4x(x+4).$

Step-by-step explanation: We are given to completely factor the following expression :

$E=4x^2+16x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since the given expression does not contain the constant term, so we need to take common x and the common factor 4 from both the terms.

The factorization of expression (i) is as follows :

$E\\\\=4x^2+16x\\\\=4x(x+4).$

Thus, the factors of the given expression are 4, x and (x + 4). And, the complete factored form is $4x(x+4).$

Andrew [12]2 years ago

4 0

First factor out the gcf.

4x(x+4)

The inner binomial cannot be factored so that is the final answer.

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Find the volume of a right circular cone that has a height of 10.7 in and a base with a diameter of 8.1 in. Round your answer to

scoundrel [369]

Answer:

$V = \pi r^2 h$

And for this case the value for the height is $h = 10.7 in$ the diameter is provided $D = 2r = 8.1 in$ so then the radius is given by:

$r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in$

Then we can find the volume with the first formula and replacing we got:

$V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3$

The final answer for this case would be 551.4 cubic inches

Step-by-step explanation:

The volume for a right circular cone is given by this formula:

$V = \pi r^2 h$

And for this case the value for the height is $h = 10.7 in$ the diameter is provided $D = 2r = 8.1 in$ so then the radius is given by:

$r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in$

Then we can find the volume with the first formula and replacing we got:

$V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3$

The final answer for this case would be 551.4 cubic inches

7 0

3 years ago

Read 2 more answers

you are buying wood to build a gate for your backyard. if your car trunk has the following dimensions (47 inches by 33 inches by

riadik2000 [5.3K]

The longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.

<h3>How to measure diagonal of the cuboid?</h3>

The length of the diagonal of the cuboid is found out using the following formula.

$D=\sqrt{l^2+b^2+h^2}$

Here, (l) is the length of the cuboid, (w) is the width, and (h) is the height of the cuboid.

The wood has to buy to build a gate for backyard. The car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches). Here, we have,

Length (l)=47 in
Width (w)=33 in
Height (h)=19.5 in

The longest piece of wood which fits is equal to the length of diagonal of cuboid. Put the values in the formula,

$D=\sqrt{47^2+33^2+19.5^2}\\D=\sqrt{3678.25}\\D=60.65\rm\; in$

Thus, the longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.

Learn more about the cuboid here;

brainly.com/question/22694657

#SPJ1

3 0

1 year ago

Which of the following equation(s) has/have slope zero?

Mnenie [13.5K]

Answer:

b, only b

y = -3 has zero slope.

Step-by-step explanation:

Only a horizontal line has zero slope. A horizontal line's equation is given in the form: "y equals a number" So y=-3 is horizontal with zero slope.

Vertical lines have undefined slope. This is not the same as zero. Vertical lines have an equation in the form x= anumber. Above in the answer choices, choice a and d are both vertical with undefined slope and are not the correct answer. Choice c has slope 5, because that is the number beside the x in the form y=mx+b where m is the slope. So choice c is also not the answer.

Only choice b has zero slope.

5 0

1 year ago

During the school year, a bus driver made 7 trips to the museum. The distance from the school to the museum is 36 miles. Write a

bagirrra123 [75]

Given:

Number of trips = 7

Distance from the school to the museum = 36 miles.

To find:

Write and solve equations to find how many miles the bus driver drove for the 7 trips.

Solution:

Let x be the number of trips and y be the total number of miles the bus driver drove.

Distance from the school to the museum = 36 miles.

1 trip means from the school to the museum and then from the museum to the school.

Distance covered in 1 trip = 2×36 = 72 miles.

Distance covered in x trips = 72x miles.

$y=72x$

Substitute x=7 in the above equation to find the total distance the bus driver drove for the 7 trips.

$y=72(7)$

$y=504$

Therefore, the bus driver drove 504 miles for the 7 trips.

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2 years ago

Inductive reasoning involves applying a general rule to a specific situation.

Elenna [48]

I believe the correct answer is true. Inductive reasoning involves applying a general rule to a specific situation. It <span>is a logical process in which multiple premises, all believed true or found true most of the time, are combined to obtain a specific conclusion. Hope this answers the question.</span>

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3 years ago