simplify this expression

Simplify This Expression

Answers

Answer 1

Answer:

option 4

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

Given

(2 - 5[tex]\sqrt{6}[/tex] ) 3[tex]\sqrt{2}[/tex] ← distribute parenthesis by 3[tex]\sqrt{2}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{12}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{4(3)}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15([tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] )

= 6[tex]\sqrt{2}[/tex] - 15(2[tex]\sqrt{3}[/tex] )

= 6[tex]\sqrt{2}[/tex] - 30[tex]\sqrt{3}[/tex]


Related Questions

What is the area of the rhombus shown below?

Answers

Answer:

A. 97.5 square units

Step-by-step explanation:

==>Given:

Rhombus ABCD with the following dimensions:

diagonal 1 (d1) = BD = 15

diagonal 2 (d2) = AC = 13

AB = 9.9

==>Required:

Area of the rhombus

==>Solution:

Since we know the length of the 2 diagonals, area of the rhombus can be calculated using A = ½ × d1 × d2

Area = ½ × 15 × 13

A = ½ × 195

A = 97.5 square units

Answer:

A

Step-by-step explanation:

Associative
Property

Answers

Answer:

Below

Step-by-step explanation:

The associative property states that you can add or multiply numbers in any group.

Ex:

x + y + z = x + y + z

(x + y) + z = x + (y + z)

x * y * z = x * y * z

(x * z) * y = (x * y) * z

Addition: According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped or arranged. Here's an example of how the sum does NOT change irrespective of how the addends are grouped.

Multiplication: According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.

Division and Subtraction = NO ASSOCIATIVE PROPERTY

if james is 9years old and his sister rose is 15 years . what is the sum of their ages​

Answers

Answer:

24 years

Step-by-step explanation:

James Age = 9 years

Rose's Age = 15 years

Sum of their Ages = 9+15

Sum of their Ages = 24 years

please help , factor 6x^2-33x+15 A. 3(2x-5)(x+1) B. 3(x+1)(2x+5) C. 3(2x-1)(x+5) D. 3(x-5)(2x-1)

Answers

Answer:

D

Step-by-step explanation:

Since the end term is positive, we know the 1 and 5 must both be positive or negative. However since -33x is negative, we know 1 and 5 are both negative too

Answer:

3(2x-1     )(x-5   )  

Step-by-step explanation:

6x^2-33x+15

Factor out the greatest common factor

3(2x^2 -11x +5)

Factor inside the parentheses

3(2x     )(x   )  

We need to get to -11 so the the only factors of 5 are 1 and 5 and they have to be negative

3(2x-1     )(x-5   )  

2 * -5 + -1 = -10-1 = -11

pls help me 13 minute left 10 POINTS

Answers

Answer:

The answer is 6.28.

Step-by-step explanation:

The formula for finding the circumference is C=2 times 3.14 times the radius of the circle. 3.14 times 2 equals 6.28 times the radius which is 1 feet (because half of 2 feet equals 1 feet). 6.28 times 1 equals 6.28.

The answer is 6.28 !!!!

City Middle School held its annual musical production last weekend. Of the 700 tickets sold, 55% were for the Saturday performance. How many tickets were sold for the Saturday show?City Middle School held its annual musical production last weekend. Of the 700 tickets sold, 55% were for the Saturday performance. How many tickets were sold for the Saturday show?

Answers

Answer: 385 tickets

Step-by-step explanation:

From the question, City Middle School held its annual musical production last weekend and of the 700 tickets that were sold, 55% were for the Saturday performance. The number of tickets that were sold for the Saturday show will be 55% of 700. This can be expressed mathematically as:

= 55% of 700

= 55/100 × 700

= 55 × 7

= 385 tickets

385 tickets were sold for the Saturday show.

Answer:

ITS IS A= 385

Step-by-step explanation:




Helen has only 10 questions left to do of her Math homework. She
has 120 minutes before it's her bedtime and it takes 5 minutes to do
each Math question. Describe the pattern and determine how much
time she will have available after her homework is complete.

A)Start at 120 and add 5 each time. She will have 70 minutes of free time after she finishes her math questions.

B) Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions.

C)Start at 120 and subtract 5 each time. She will have 75 minutes of free time after she finishes her Math questions.

D) Start at 120 and subtract 5 each time. She will not have enough time to complete all of her math questions.​

Answers

Answer:

B. Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions
B, each question is 5 minutes, so it will take her 50 minutes for her to finish her homework and yu subtract that from 120 and she will have 70 minutes left.

A cube has an edge length of 7 inches. What is its volume, in cubic inches?

Answers

Answer:

343 cubic inches

Step-by-step explanation:

7 times 7 times 7 is 343

I will give you brainliest!!!! Which term best describes the slope of this line?

Answers

Answer:

zero

Step-by-step explanation:

The line is a horizontal line

Horizontal lines are of the form y= constant

This means they have zero slope

It’s zero because there is no slope and if it’s a straight horizontal line it’s a 0

pls help me fast as u can
pls

Answers

Answer:

                        M5 W11 C1-CLASS ASSIGNMENT-LEVEL-1

I.Convert the following into minutes

a)2 hours 12 minutes 72  

b)7 hours 45 minutes 465

II.Convert the following into seconds.

a)1 hour 4 minutes 26 seconds 3866

b)2 minutes 43 seconds 163  

III.

a) 246 minutes= 4 hours 6 minutes

b) 117 seconds= 1  minutes 57 seconds

Step-by-step explanation:

if its wrong sorry i tried mmy best

Solve for y: 5-3y - 8y = 121 *

Answers

Answer:

y= -116/11

Step-by-step explanation:

5-3y-8y=121

5-11y=121

5-5-11y=121-5

-11y=116

-11y/-11=116/-11

y= -116/11

y= 10.5 , subtract 5 from 121, add -3y & -8y together, then divide by -11y to get your answer.

Can someone please explain what I did wrong here? Thank you!

Answers

Answer: The total number of ways is wrong. Since there is 12 members, each of them could be the president, vice president, etc.

Step-by-step explanation:

How many real number solutions exist for 2x2 + 8x + 8 = 0?

A. 0
B. 1
C. 2
D. 3
Whats the answer i rlly need help

Answers

Answer:

B

Step-by-step explanation:

2x^2+8x+8=0

x^2+4x+4=0

(x+2)^2=0

so B, 1 solution

The number of calories in 5 cups of yogurt is 750. What proportion can you set up to determine the number of calories,c, in 9 cups of yogurt

Answers

Answer:

5 9

----- = ------

750 x

Step-by-step explanation:

Answer:

750 / 5  = c / 9

Step-by-step explanation:

Can someone please help me with this?

Answers

Answer: x= -3 + 2[tex]\sqrt{2\\}[/tex] or -3 -2 [tex]\sqrt{2}[/tex]

Step-by-step explanation:

First you want to get the quadratic formula

in this case a=1 b=6 and c=1

plug it in and solve the equations

(sorry don't know how to put in equations here)

Answer:

Answer: x= -3 + 2\sqrt{2\\} or -3 -2 \sqrt{2}

Step-by-step explanation:

First you want to get the quadratic formula

in this case a=1 b=6 and c=1

plug it in and solve the equations

The expression (x − 4)2 is equivalent to x2 − 16 x2 + 16 x2 − 8x + 16 x2 + 8x + 16

Answers

Answer:

Given below

Step-by-step explanation:

The algebraic identity is (a-b)^2

= a^2 + b^2 - 2ab

So it'll be,

(x-4)^2

= x^2 + (4)^2 - (2)(x)(4)

= x^2 -8x + 16

or x^2 +16 -8x

The expression x² + 16 -8x is equivalent to the given expression (x-4)². The correct answer would be an option (C).

What is algebra?

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

The expression is given in the question, as follows:

(x-4)²

As we know that the sum of square identity (a-b)² = a² + b² - 2ab

So x² + (4)² - (2)(x)(4)

x² -8x + 16 or

x² + 16 -8x

This expression is equivalent to the given expression.

Hence, the correct answer would be an option (C).

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

For which rational expressions is 5 an excluded value? Select two options.
X+5/X-5
x²-5/x² +5
X-3/x² - 25
2 x + 1/x2 + 25
X-5/
x² + 5x

Answers

Answer:

first one and the second one.

Step-by-step explanation:

nothing :)

Answer:

this is right

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integ

Answers

Slope = 4 but I need to get to 20 characters to reply to this question. Have a nice day
Slope is 4. Smell ya later

Pls help with this (im not trying to be annoying)

Answers

C(8)=29 you have to plug in 8 for n in the equation and solve. Hope this helps!!!

What are the answers? No hurry; I just have other things to do.

Answers

Answer:

what u need help with

Step-by-step explanation:

. It takes Serina 15 seconds to drive to school. Her route is 16,000 meters long. What is Serina’s average speed on her route?

Answers

[tex]answer \\ = 1066.67m / s \\ solution \\ distance \: travelled = 16000 \: m \\ time \: taken = 15 \: seconds \\ speed = \frac{distance}{time} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{16000}{15} \\ \: \: \: \: \: \: \: \: \: \: \: = 1066.67 \: m/s \\ hope \: it \: helps[/tex]

Answer:

[tex] = 1,066.67m {s}^{ - 1} \\ [/tex]

Step-by-step explanation:

[tex]speed = \frac{distantce}{time} \\ = \frac{16000}{15} \\ = 1,066.67m {s}^{ - 1} [/tex]

hope this helps you

brainliest appreciated

good luck! have a nice day!

Pleaseee answer fast!!!! Solve the system of equation: y= 7/2x-3 and y= 7/2x +3

Answers

Answer:

The answer is no solution because these two lines have the same slope, meaning they are parallel. Parallel lines never intersect.

Answer:

No solution.

Step-by-step explanation:

Because y equals 7/2x-3, and 7/2x+3, we can say that both of these equations are equal to each other.

Thus, we have 7/2x-3=7/2x+3

(7/2)x-6=(7/2)x

x-6=x

-6=0

This is a false statement, so therefore this system of equations has no solution.

However, you can clearly see this as these lines are parallel lines as they have the same slope, 7/2. The solution to  a system of equation is the intersecting point, but as we know about parallel lines they  never intersect!

Hope this helps!

What is the value of [2/3]-4

Answers

Answer:

option 4

Step-by-step explanation:

[tex]a^{-m}=(\frac{1}{a})^{m}\\\\\\(\frac{2}{3})^{-4}=(\frac{1}{\frac{2}{3}})^{4}\\\\=(\frac{3}{2})^{4}\\\\=\frac{3^{4}}{2^{4}}\\\\=\frac{81}{16}[/tex]

Given f(x) = -2x³ + x² - 2 find f(1)

Answers

Answer:

-3

Step-by-step explanation:

[tex]f(x)=-2x^3+x^2-2 \\\\f(1)=-2(1)^3+(1)^2-2= \\\\-2+1-2=\\\\-3[/tex]

Hope this helps!

What would be the answer and how would i get it?

Answers

Answer: c

Step-by-step explanation:

I very easy solve for x> then you take -3 -2 1,0 in order to get your answer

Answer:

x = {-3, -2, -1, 0, 1}

Step-by-step explanation:

We need to find the set that satisfies the inequality x > -4 ∩ x ≤ 1.

∩ means find the members that are common between two sets.

This means that we need to find the set of all integers that satisfy x > -4 and x ≤ 1

So, to find the low end, we find the lowest integer that satisfies x > -4, which is -3.

Now, to find the high end, we find highest integer that satisfies x ≤ 1, which is 1.

So x = {-3, -2, -1, 0, 1}

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

5 days

Step-by-step explanation:

Since the burrito stand uses 1/2 of a bag of tortillas, take 2 1/2 divided by 1/2 to find how many days the tortillas will last.

2.5/0.5 = 5 days

In Need OF HELP !!!!!!!! ​

Answers

The answer you’re looking for is B

this camera stuff stinks but i need help on this

Answers

Answer: 4.2

Step-by-step explanation:

the coefficient is the number used to multiply a variable. here, the variable is x, and it is being multiplied by 4.2.

so the coefficient of the equation is 4.2

Please explain and show work. In the function f(x)=cos⁡x, f(x) is multiplied by a factor of 3, x is replaced with 4x and 5 is added to the function. Explain the effects this has on the graph of the function (i.e. horizontally, vertically, compressed, stretched, etc.).

Answers

Your graph will actually look like an oscillation (wave), it will be more compressed horizontally. As the value of x increases withe very whole number, your graph will compress horizontally. More like in the image below.

The sum of the interior angles of a polygon is 8,100. How many sides does the polygon have?

Answers

Answer:

explanation below

Step-by-step explanation:

(n - 2) * 180 = 8100

n - 2 = 8100/180

n - 2 = 45

n = 45 + 2

n = 47 sides <---answer

happy to help ya :)

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