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mario62 [17]
3 years ago
9

What is the following difference?

Mathematics
2 answers:
monitta3 years ago
6 0

ANSWER

29 \sqrt{5}

EXPLANATION

The given radical expression is

11 \sqrt{45}  - 4 \sqrt{5}

We remove the perfect squares to get:

11 \sqrt{9 \times 5}  - 4 \sqrt{5}

Split the square root sign to obtain:

11 \sqrt{9}   \times  \sqrt{5} - 4 \sqrt{5}

We simplify further to get:

11 \times 3 \sqrt{5} - 4 \sqrt{5}

33 \sqrt{5} - 4 \sqrt{5}

This simplifies to

29 \sqrt{5}

hammer [34]3 years ago
3 0

Answer:

29 square root 5.

Step-by-step explanation:

You must simplify the surds to subtract them.

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navik [9.2K]

Answer:

x = 30

Step-by-step explanation:

9-x/5=3

Subtract 9 from each side

9-9-x/5=3-9

-x/5 = -6

Multiply each side by -5

-x/5 *-5 = -6*-5

x = 30

8 0
3 years ago
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property of real numbers that states that the order in which numbers are added or multiplied dose not change the value​
timurjin [86]

Answer:

"Commutative property of addition and of multiplication"

Step-by-step explanation:

This is the "commutative property" of addition and of multiplication. That as its name indicates tells us for additions, that if we add A + B, or B + A, we should get the same result. Similarly, the "commutative property" of multiplication tells us that if we perform the product A * B we should get the same answer as if we perform the product: B * A.

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3 years ago
We wish to construct a 90% confidence interval on the mean of a population known to be normally distributed based on a sample of
sergiy2304 [10]

Answer:

Margin of error = 0.773

Step-by-step explanation:

We are given the following information in the question.

Sample size, n = 20

Sample mean = 8

Sample standard deviation = 2

90% Confidence interval

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.10} = \pm 1.729  

Margin of error:

t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

1.729(\frac{2}{\sqrt{20}} ) = 0.773  

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3 years ago
In parallelogram ABCD , BE=7x−2 and ED=x2−10 .
Stells [14]

I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.

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As distance must be positive, we reject the negative case, so x=8.

Thus, BE=ED=54.

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Answer:

15/6

Step-by-step explanation:

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