<img src="https://tex.z-dn.net/?f=%5Csqrt%2018-%20%5Csqrt%202" id="TexFormula1" title="\sqrt 18- \sqrt 2" alt="\sqrt 18- \sqrt 2

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vovangra [49]

2 years ago

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Mathematics

2 answers:

zimovet [89]2 years ago

4 0

The answer is 2√2

√18 - √2
3 √2 - √2 = 2√2

Alex787 [66]2 years ago

4 0

Answer:

2√2

Step-by-step explanation:

18 factors down to 3 * 3 * 2

The rule for taking the square root of a number factored into primes is if they are in pairs, take one of the pairs out of the root sign and throw the other one away. Any odd number of primes always has one prime left under the root sign.

3√2 - √2

Root 2 is a common factor on either side of the minus sign.

√2*(3 -1)

√2 * 2

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Step-by-step explanation:

<em>Easy way to take one of the vertices and apply the transformations</em>

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2 years ago

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2 years ago

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Step-by-step explanation:

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2 years ago

When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and foun

Anestetic [448]

Answer:

The tree was 175 centimeters tall when Vlad moved into the house.

7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.

Step-by-step explanation:

The height of the tree, in centimeters, in t years after Vlad moved into the house is given by an equation in the following format:

$H(t) = H(0) + at$

In which H(0) is the height of the tree when Vlad moved into the house and a is the yearly increase.

He measured it once a year and found that it grew by 26 centimeters each year.

This means that $a = 26$

$H(t) = H(0) + 26t$

4.5 years after he moved into the house, the tree was 292 centimeters tall. How tall was the tree when Vlad moved into the house?

This means that when t = 4.5, H(t) = 292. We use this to find H(0).

$H(t) = H(0) + 26t$

$292 = H(0) + 26*4.5$

$H(0) = 292 - 26*4.5$

$H(0) = 175$

The tree was 175 centimeters tall when Vlad moved into the house.

How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

This is t for which H(t) = 357. So

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$H(t) = 175 + 26t$

$357 = 175 + 26t$

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$t = 7$

7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.

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2 years ago