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anzhelika [568]
2 years ago
13

10-root18/root2 = a+broot2

Mathematics
1 answer:
Sauron [17]2 years ago
8 0

Step-by-step explanation:

\frac{10 -  \sqrt{18} }{ \sqrt{2} } = a + b \sqrt{2}

\frac{10}{ \sqrt{2} }   +  \frac{ -  \sqrt{18} }{ \sqrt{2} }

5 \sqrt{2}   + (  \frac{ -  \sqrt{18} }{ \sqrt{2} } ) \times  \sqrt{2}

a = 5 \sqrt{2}

b =  \frac{ -  \sqrt{18} }{ \sqrt{2} }

You might be interested in
Which are correct representations of inequality 6x>3+4(2x-1)
abruzzese [7]

The correct representations of inequality 6x>3+4(2x-1) will be 6x ≥ 3 + 8x – 4.Option B is correct

<h3>What is the definition of inequality?</h3>

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

The complete question is;

"Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Check all that apply.

A)1 ≥ 2x

B)6x ≥ 3 + 8x – 4"

6x ≥ 3 + 4(2x – 1)

6x≥3+8x-4

The correct representations of inequality 6x>3+4(2x-1) will be 6x ≥ 3 + 8x – 4.

Hence, option B is correct

To learn more about inequity, refer to brainly.com/question/20383699

#SPJ1

4 0
2 years ago
Which equation has x = –6 as the solution?
olya-2409 [2.1K]

Answer:

The equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. \log _3\left(-2x-3\right)=2  has x = –6 as the solution.

Step-by-step explanation:

<u>Checking the equation</u>

log Subscript 3 Baseline (negative 2 x minus 3) = 2

Writing in algebraic expression

\log _3\left(-2x-3\right)=2

Use the logarithmic definition

\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c

\log _3\left(-2x-3\right)=2\quad \Rightarrow \quad \:-2x-3=3^2

-2x-3=3^2

-2x-3=9

-2x=12

\mathrm{Divide\:both\:sides\:by\:}-2

\frac{-2x}{-2}=\frac{12}{-2}

x=-6

Therefore, the equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. \log _3\left(-2x-3\right)=2  has x = –6 as the solution.

3 0
3 years ago
Read 2 more answers
What is the answer for 3a
n200080 [17]
24/40 = T/30
40t= 24•(30)
T= 18
Hope this helps. :)
8 0
3 years ago
James has 14{,}500\text { g}14,500 g14, comma, 500, start a text, space, g, end text of sand in his sandbox. He brings home anot
mariarad [96]

Question:

James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?

Answer:

The quantity of sandbox James has is 21.9kg

Step-by-step explanation:

Given

Initial quantity of sandbox = 14,500 g

Additional quantity = 7,400 g

Required

Total quantity of sandbox in kg

Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;

This is represented mathematically as follows;

Total = Initial Quantity + Additional Quantity

Total = 14,500 g + 7,400 g

Total = 21,900 g

But the question says the answer should be in kg

1000 g is equivalent to 1 kg

21,900 g will be equivalent to \frac{21,900}{1,000} kg

21,900g = \frac{21,900}{1,000} kg

21,900g = 21.9 kg

Hence, the quantity of sandbox James has is 21.9kg

7 0
3 years ago
Please provide answer and work to show how you got the answer!!
yan [13]
X=8
Here my
Work message me if u have questions

7 0
2 years ago
Read 2 more answers
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