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WINSTONCH [101]
3 years ago
11

Factorise 3ab²+15a²b³+21a³b²​

Mathematics
1 answer:
evablogger [386]3 years ago
5 0

Given:

The expression is

3ab^2+15a^2b^3+21a^3b^2

To find:

The factor form of the given expression.

Solution:

We have,

3ab^2+15a^2b^3+21a^3b^2

Taking out the common factors, we get

3ab^2(1+5ab+7a^2)

It is clear that (1+5ab+7a^2) cannot be factories further.

Therefore, the factorized form of the given expression is 3ab^2(1+5ab+7a^2).

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Bajo del Gualicho has an elevation of - 72 meters. Lago Enriquillo has an elevation of - 46 meters. Note
Harman [31]

Answer: Bajo del Gualicho has a higher elevation than Lago Enriquillo.

Step-by-step explanation:

Since in this case the "elevations" are negative because are under sea level, we can call it depth.

In this sense, we are given the "elevations" or depths of two places:

Bajo del Gualicho: -72 m

Lago Enriquillo: -46 m

Keeping in mind we are actually talking about the depth of this places, we can  say Bajo del Gualicho is deeper than Lago Enriquillo, and this is best expressed with the following inequality:

G>E

Where G represents Bajo del Gualicho and E represents Lago Enriquillo.

4 0
3 years ago
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What is equivalent to 1 ½ meters
frosja888 [35]
1 5/10 meters is equivalent
6 0
2 years ago
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of
Svetach [21]
What we know:
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of synthetic oil.

What we need to find:
If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?

Set up a proportion to find how much natural oil is used.
7L natural oil/5L synthetic oil = x/355 synthetic oil where x=natural oil
7/5=x/355
(5)(x)=(7)(355) cross multiplied
5x=2485 simplified
5/5x=2485/5 multiplicative inverse
x=497L

Now, add both synthetic oil and natural oil to find amount of petrolyn oil.

355 L synthetic oil + 497 L natural oil= 852 L of petrolyn oil
5 0
3 years ago
Write the expanded form of the expression (using distributive property). -4(5x + 6)
Vladimir [108]

Answer:

-20x - 24

you just multiply the factor on the outside by each on the inside.

6 0
2 years ago
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From the lighthouse 1000 ft above sea level the angle of depression to boat a is 29 degress.a little bit later the boat moved cl
AnnyKZ [126]

Answer: The boat moved 768.51 feet  in that time .

Step-by-step explanation:

Since we have given that

Height of the lighthouse = 1000 feet

Angle depression to boat 'a' = 29°

Angle of depression  to shore 'b' = 44°

Consider ΔABC,

\tan 44\textdegree=\frac{AB}{BC}\\\\\tan 44\textdegree=\frac{1000}{BC}\\\\BC=\frac{1000}{\tan 44\textdegree}\\\\BC=1035.53\ feet

Now, Consider, ΔABD,

\tan 29\textdegree=\frac{AB}{BD}\\\\\tan 29\textdegree=\frac{1000}{BD}\\\\BD=\frac{1000}{\tan 29\textdegree}\\\\BD=1804.04\ feet

We need to find the distance that the boat moved in that time i.e. BC

so,

DC=BD-BC\\\\CD=1804.04-1035.53\\\\CD=768.51\ feet

Hence, the boat moved 768.51 feet  in that time .

6 0
3 years ago
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