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3 years ago

Help me answer this question please.

Mathematics

1 answer:

polet [3.4K]3 years ago

8 0

The right answer is Option B.

Step-by-step explanation:

Given expression is;

5x√2 - 3√2 + x√2

We can add or subtract square roots only when the values inside the square root are same and the variables are also same.

In the given expression, variable x is same with √2, therefore, adding both the roots

$6x\sqrt{2} -3\sqrt{2}$

6x√2 - 3√2 is equivalent to 5x√2 - 3√2 + x√2.

The right answer is Option B.

Keywords: square roots, subtraction

Learn more about square roots at:

#LearnwithBrainly

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Step-by-step explanation:

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2 years ago

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Lenny has 21 green blocks the ratio of green blocks to yellow blocks she owns is 3:1 How many blocks does she own.

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2 years ago

If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

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3 years ago

Yolanda left for a youth retreat at 8:00 p.m. On Friday. She came home on Sunday morning at 10:00 a.m. How long was Yolanda away

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3 years ago

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Which two expressions have the same value?<br> 1. 23-82<br> 2. 23 - (8 x 2)<br> 3. (23 -8) x 2

Elza [17]

Answer:

Any expression doesn't have the same value

Step-by-step explanation:

Subtract 82 from 23.

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Multiply 8 by 2.

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Multiply −1 by 16.

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Subtract 16 from 23.

Subtract 8 from 23.

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Multiply 15 by 2.

<h2>Hope it is helpful.....</h2>

6 0

2 years ago

Help me answer this question please.​

Help me answer this question please.