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3 years ago

What is the sum of the polynomials? (7x^3– 4x^2) + (2x^3 +3x)

Mathematics

1 answer:

DaniilM [7]3 years ago

5 0

Answer:

sum of the polynomials is $9 x^{3} - 4 x^{2} +3x$

Step-by-step explanation:

Given polynomial is (7 x^3– 4 x^2) + (2 x^3 +3 x)

adding x^3 terms, now we get

$(7+2)x^3-4 x^2+3 x$

$9 x^{3} - 4 x^2 +3 x$

Therefore the sum of given polynomial is

$9 x^3-4 x^2+3 x$

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Dmitry_Shevchenko [17]

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3 years ago

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2 years ago

In the figure, triangle CAE is an enlargement of triangle CBD with scale factor of 4/3. The area of the smaller triangle is 9cm2

balandron [24]

Answer:

16 cm^2

Step-by-step explanation:

Given

$\triangle CAE$ -- Bigger Triangle

$\triangle CBD$ -- Smaller Triangle

$k = \frac{4}{3}$ --- Scale factor

Area of CBD = 9

Required

Determine the area of CAE

The area of triangle CBD is:

$A_1 = \frac{1}{2}bh$

$\frac{1}{2}bh = 9$

The area of CAE is:

$A_2 = \frac{1}{2}BH$

Where:

$B = \frac{4}{3}b$ and

$H = \frac{4}{3}h$

The above values is the dimension of the larger triangle (after dilation).

So, we have:

$A_2 = \frac{1}{2}*\frac{4}{3}b * \frac{4}{3} * h$

$A_2 = \frac{1}{2}*\frac{4}{3} * \frac{4}{3} *b* h$

$A_2 = \frac{1}{2}*\frac{16}{9} *b* h$

Re-order

$A_2 = \frac{16}{9}*\frac{1}{2}* b* h$

$A_2 = \frac{16}{9}*\frac{1}{2}bh$

Recall that:

$\frac{1}{2}bh = 9$

$A_2 = \frac{16}{9}*9$

$A_2 = 16$

Hence, the area is 16 cm^2

3 0

3 years ago

An Olympic-sized swimming pool holds 2,500,000 liters of water. How many gallons of water does an Olympic-sized swimming pool ho

tankabanditka [31]

Answer:

The Olympic sized swimming pool hold 660501.9 gallons of water.

Step-by-step explanation:

Given that:

Water hold by an Olympic sized swimming pool = 2500000 liters

We know that;

1 gallon = 3.785 liters

Therefore,

We will divide the total number of water in liters by 3.785 to find the number of gallons.

Gallons of water in pool = $\frac{2500000}{3.785}$

Gallons of water in pool = $660501.9$ gallons

Hence,

The Olympic sized swimming pool hold 660501.9 gallons of water.

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3 years ago

The plates move at an average rate of about 5cm/y. How far have the plates traveled, assuming a constant rate, during this time?

seropon [69]

Answer:

travel from 5 to 10 cm/yr.

Step-by-step explanation:

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2 years ago