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2 years ago

Rearrange 3y + 2x = 14Clearly with explanation

Mathematics

2 answers:

krok68 [10]2 years ago

5 0

If rearranging in terms of y,

3y+2x=14

Subtract 2x from both sides of equation

3y=14-2x

Divide both sides of equation by 3

$y=\frac{14-2x}{3}$

Simplify 14-2x to 2(7-x) if you want to, meaning that $y=\frac{2(7-x)}{3}$

Irina18 [472]2 years ago

3 0

Y = mx + b

3y + 2x = 14

Move 2x to other side

Now it becomes negative

3y = -2x + 14

Divide everything by three to isolate y

y = -2x/3 + 14/3

There’s your answer

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2 years ago

What is the length of the longer side in this triangle

Elena L [17]

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That angle is a right angle, and this triangle is a right triangle !

This piece of information is a big help. It breaks the problem wide open.
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-- Square the length of one short side.
-- Square the length of the other short side.
-- Add the two squares together.
-- Take the square root of the sum.

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2 years ago

A boat sails 20 miles wast of the port and then 15 miles south to an island how far is the boat from the port if you measure thr

sweet-ann [11.9K]

Answer:

25 miles

Step-by-step explanation:

Given: A boat sail 20 miles west of the port and then 15 miles south to an island.

Picture attached.

The distance from port to island could be measured in a straight line. It will form a hypotenous.

∴ we can use Pythogorean theorem to find the distance.

$h^{2} = a^{2} +b^{2}$

Where, "a" is adjacent= 20 miles and "b" is opposite= 15 miles.

$h^{2} = 20^{2} +15^{2}$

⇒ $h^{2} = 400+225= 625$

⇒ $h^{2} = 625$

⇒ $h= \sqrt{625}= \sqrt{25^{2} }$

We know $\sqrt{x^{2} } = x$ .

∴ $h= 25\ miles$

∴ Distance of Port from the Island is 25 miles.

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3 years ago

Describe how to write 7,594,000,000 in scientific notation. Complete the description. First move the decimal point places to the

s2008m [1.1K]

Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, $7,594,000,000=7.59\times 10^9$ is the scientific notation.

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2 years ago