Multiplying and Dividing Radical Expressions

Multiplying And Dividing Radical Expressions

Answers

Answer 1

Answer:

The answer for the first equation is,

B. 11

The answer for the second equation is,

D.none of these.

Answer 2

Answer:

first question:  [tex]\sqrt[4]{110}[/tex] (last option)

second question:  2a³b²· [tex]\sqrt[3]{3a}[/tex]  (3rd option)

Step-by-step explanation:

1st question - follow this rule: [tex]\sqrt[4]{m}[/tex] · [tex]\sqrt[4]{n}[/tex] = [tex]\sqrt[4]{m x n}[/tex]

2nd question: [tex]\sqrt[3]{24a^10b^6}[/tex] = [tex]\sqrt[3]{2^3a^3a^3ab^3b^3}[/tex] = 2·a·a·b·b[tex]\sqrt[3]{3a}[/tex] = 2a²b²[tex]\sqrt[3]{3a}[/tex]


Related Questions

Help pls

The first few partial sums of a series consisting of only
positive terms are shown.

Answers

Answer:

The partial sums are increasing in value.

The series converges to the same value as what the partial sums approach.

The partial sums appear to approach 0.33.

The series might converge to One-third.

Step-by-step explanation:

Answer:

The partial sums are increasing in value.

The series converges to the same value as what the partial sums approach.

The partial sums appear to approach 0.33.

The series might converge to One-third.

Step-by-step explanation:

Given: AACD is isosceles with angle D as the vertex angle. B is the midpoint of AC. AB= x + 5, BC= 2x - 3, and CD = 2x + 6. Find the perimeter of ∆ACD.​

Answers

Answer:

70 units

Step-by-step explanation:

Given triangle ACD

AB = BCCD = 2x + 6AB = x + 5BC = 2x - 3P = ?

Perimeter is sum of the side lengths:

P = AD + CD + AC

AD = CD because D is vertex and the triangle is isosceles

AC = AB + BC because B is midpoint of AC

Then P is:

P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14

Find the value of x from the AB = BC:

x + 5 = 2x - 32x - x = 5 + 3x = 8

Then find the value of P:

P = 7*8 + 14 = 56 + 14 = 70 units

What is the image point of (-7,7) after a translation right 1 unit and down 3 units?

Answers

Answer:

Step-by-step explanation:

We start at (-7, 7).  A translation of 1 unit to the right results in (-6, 7).  A translation down from there results in (-6, 4).  This is the desired image point.

help! Giving out extra points and brainlist

Answers

Put (-3,9) on the second quadrant and (1,1) on the first the quadrant you will get 8/2 using rise/run
Simplified its 4/1
Here’s the graph
Y intercept is (0,3)
Slope -2
I hope this helped :)

Find the slope (m) of the line
that passes through the pair of
points
(4.5, 5.7) and (14.5, 18.9)

Answers

Do y1-y2/x1-x2 and have your answer

Find each function value f(3) if f(x) = 2x + 2

Answers

Answer: The function value is 8.

Step-by-step explanation: Substitute 3 for x.

f(3) = 2(3) +2f(3) = 6 +2f(3) = 8

Answer:

Step-by-step explanation:

okay soooo first you must multiply 3 by 2 because 3 is the element of the function (x)

your answer should be 6

now add 2 to your answer (6) and you should get 8

For the problem below, find the percent of change. Then decide whether is it a percent increase or a percent decrease. Round to the nearest whole
percent if necessary.

100 acres to 140 acres:

Answers

Answer:

cx

Step-by-step explanation:

g

What is 12.6254748322 rounded to nearest tenth

Answers

Answer:

12.6

Step-by-step explanation:

Answer:

13.0

Step-by-step explanation:

Which of the following represents the lowest speed in miles per hour?
6 miles in 1/8 hour
11 miles in 1/4 hour
16 miles in 3/8 hour
20 miles in 1/2 hour

Answers

Answer:

C . 16 miles in 3/6 hour. Because 3/6 is 1/2. So, the answer would basically be 16 miles in 1/2.

2/3 + 9/12 add fractions with unlike denominators

Answers

Answer:

[tex]1\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} + \frac{9}{12}[/tex]   <-- let's change 2/3 into a fraction that has 12 as the denominator

[tex]\frac{2}{3}[/tex] × 4   <-- multiply both the numerator and the denominator by 4

2 × 4 = 8   <-- new numerator

3 × 4 = 12   <-- new denominator

now we have [tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex]

[tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex] = [tex]\frac{17}{12}[/tex]    <-- let's change it into a mixed number

17 ÷ 12 = [tex]1\frac{5}{12}[/tex]

Answer: its 17/12

Step-by-step explanation:

find the magnitudes of 9.109 X 10^-31

Answers

9514 1404 393

Answer:

  9.109×10^-31

Step-by-step explanation:

The magnitude of a positive number is the number itself.

  9.109×10^-31

PLEASD HELP!!! I have no clue how to do this

Answers

Step-by-step explanation:

[tex]for1 \\ x =8 \\ y = x \sqrt{2} = 8 \sqrt{2 } = 11.31[/tex]

[tex]for2 \\ x =25 \sqrt{2} = 35.36 \\ y = 25[/tex]

[tex]for3 \\ 19 = x \sqrt{2} \\ x = \frac{19}{ \sqrt{2} } = 13.44 \\ y = 13.44 \\ [/tex]

Simplify (6⁴)³

A. b
B. b³
C. b⁹
D. b¹²​

Answers

answer is d
it would be b^12
The answer is D.
Hope this helps <3

pls help me answer this :’)

Answers

Answer:

Commutative and multiplicative identity

Step-by-step explanation:

mark brainlyist

The sum of two numbers is 30 and their difference is 12, what are the two numbers

Answers

Answer:

Sum: 21 + 9 = 30

Difference: 21 - 9 = 12

Step-by-step explanation:

Let the number is a and b

The sum of two numbers =30

so,a+b=30 ............(1)

The difference of two number =12

so,a-b=12 .................(2)

If we add two equation (1) and (2)

we get,

a+b+a-b=30+12

2a=42

[tex]\tt{ a=\dfrac{42}{2} }[/tex]

[tex]\tt{ a=21 }[/tex]

so,one number is a=21

if we put the value a in (2) equation

we get,

a-b=12

21-b=12

b=21-12

b=9

so,the another number is=b=9

[tex]\tt{ the~two~ number~ are~ 21 ~and~ 9 }[/tex]

Please help me! Brainliest to the correct answer along with 25 points, no point thieves please! If I don't get this right I might fail my class! The question is in the picture!

Answers

Answer:

Option D

Step-by-step explanation:

5 * 58

= 5 ( 50 + 8 ) ~This is because 50 + 8 is the same as 58, essentially rewriting the problem

5 * 50 + 5 * 8 ~This is distributing the 5, so every term in this the parenthesis is multiplied by 5

250 + 40 ~This is simplifying the problem

290 ~This is the final answer

Answer:

my mind cant take that Kacchan, you know that....

Step-by-step explanation:

sorry I couldn't help Kacchan!!!

Love: Deku <3

The price of a flight was increased by 3% to £650. What was the price before the increase?
Give your answer to the nearest penny.

Answers

The answer is 630.5. What you’d need to do to solve the problem is multiply 3% (0.03) by 650 and you’d end up getting 19.5. Subtract the number you got (19.5) from 650, and you’ll end up with your answer.

Question 6 of 10
Two triangles that have the same side lengths will always be congruent.
A. True
B. False

Answers

Answer:

True.

Step-by-step explanation:

We have to tell about the statement true or false

Two triangles that have the same side length will always be congruent

The SSS congruency rule states that if all three sides of one triangle are equal to corresponding three sides of another triangle, then the triangles are congruent.

∴ we say that when the sides are the same then the triangles are congruent.

Hence, the statement is true.

Because the definition of a congruent triangle is a triangle with every side of same length.

Solving a Real-World Problem
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
O x + y = 29, 5x + 2y = 100
O x + y = 100, 5x + 2y = 29
0 5x + y = 29, 2y + x = 100
O 2x + y = 100, 5y + x = 29

Answers

Answer: From the conditions given, the total number of the problems should be 29. This means that the sum of x and y should be 29. With this and the point-system, the best system of equation that is useful for this problem is,

                                     x + y = 29

                                     5x + 2y = 100

Your first answer choice is the correct answer.

Fact: I suggest looking up the question before asking it because  sometimes others have asked the questions and it will be answered. Just letting you know to help you save points.

Answer:

x + y = 29, 5x + 2y = 100

Step-by-step explanation:

just did it

Solving linear equation study island

Answers

Answer:

Step-by-step explanation:

(x-9)/5))(5) = 2(5)

answer is B

Need help please will give brainliest

Answers

Answer:

x = 60

Step-by-step explanation:

The formula for this kind of question is

Area of sector = x / 360 * pi * r^2  = 24*pi

x/360 * pi * 12^2 = 24 pi

x/360 * pi * 144 = 24 pi                  the pi s cancel out

x / 360 = 24/144                             Multiply both sides by 360

x = 24 * 360/144

x = 60

Aubrey has a new art box in the shape of a rectangular prism. The box is 12\text{ cm}12 cm12, start text, space, c, m, end text by 20\text{ cm}20 cm20, start text, space, c, m, end text by 5\text{ cm}5 cm5, start text, space, c, m, end text. The only thing in the art box is a new pink eraser with the dimensions shown below. What is the volume of the art box not taken up by the eraser?

Answers

Answer:

1196cm^3

Step-by-step explanation:

The height of the box with the smaller base is 4 times larger than that of the box with the larger base.

What is the volume of a rectangular prism?

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

The volume of a box is the product of the base area and the height of the box,

Volume = base area × height

For the smaller base box,

base = 5 cm by 5 cm,

Therefore, the base area of the smaller base box

= 5 cm × 5 cm

= 25 cm².

Let the height of the smaller base box be h

The volume of the small box = 25 cm² × h

For the larger base box,

The base of 10 cm by 10 cm

Therefore, the base area of the larger base box

= 10 cm × 10 cm  

= 100 cm².

Let the height of the large base box be H.

The volume of the larger base box = 100 cm² × H

Since both boxes have the same volume so,

100 cm² × H  = 25 cm² × h

h / H = 4

h = 4H

Hence, The height of the box with the smaller base is 4 times larger than that of the box with the larger base.

Learn more about a rectangular prism;

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Given that f ( x ) = x 2 − 6 x + 8 f(x)=x 2 −6x+8 and g ( x ) = x − 2 g(x)=x−2, find f ( x ) + g ( x ) f(x)+g(x) and express the result in standard form.

Answers

Answer:

Step-by-step explanation:

Your problem → f(x) = x^2 - 6x + 8,g(x) = x - 2,find f(x) + g(x)

f(x)=x^2-6x+8

g(x)=x-2

f(x)+g(x)=?

Now f(x)+g(x)

=(x^2-6x+8)+(x-2)

=x^2-6x+8+x-2

= x^2 - 6x + x + 8 -2

=x^2 -5x + 6

I can't change it to standard form but i hope this helps:)

Find −369+(−7) need help

Answers

Answer:

-376

Step-by-step explanation:

I hope that this helps you out..

Answer:

-376

Step-by-step explanation:

I NEED HELP PLSS
Functions of composition~

Answers

5.) 2t^2+t-3

(2t+3)(t-1)
2t^2 - 2t + 3t -3=
2t^2 + t -3

2 triangles are shown. They have one congruent side. The first triangles has angle measures of 98 degrees and 35 degrees. The second triangle has angle measures of 35 degrees and 47 degrees. Are the triangles congruent? If so, how do you know?

Answers

Answer: Yes.

Step-by-step explanation:

Two triangles are said to be congruent when the sides of the triangles are all of same length and also when their angles are equal as well.

In this case, the first triangles has angle measures of 98 degrees and 35 degrees. This means that the 3rd angle in the triangle will be:

= 180° - (98° + 35°)

= 180° - 133°

= 47°

Since the second triangle has angle measures of 35 degrees and 47 degrees. The 3rd angle will be:

= 180° - (35° + 47°)

= 180° - 82°

= 98°

The triangle is congruent as they all have same angles

Answer:

yes because of ASA or AAS

Step-by-step explanation

got it right

What is a simplified eCarlotta thinks that 3y + 5y3 is the same as 8y4. Which statement shows that it is NOT the same?Xpression for (x + y) – (x – y)?

Answers

Questions:

(a) What is a simplified expression for (x + y) – (x – y)?

(b) Carlotta thinks that [tex]3y + 5y^3[/tex] is the same as [tex]8y^4[/tex]. Which statement shows that it is NOT the same?

Answer:

[tex](x + y) - (x - y) =2y[/tex]

[tex]3y + 5y^3 \ne 8y^4[/tex]

Step-by-step explanation:

Solving (a):

Given

[tex](x + y) - (x - y)[/tex]

Required

Simplify

[tex](x + y) - (x - y)[/tex]

Open brackets

[tex](x + y) - (x - y) = x + y - x + y[/tex]

Collect Like Terms

[tex](x + y) - (x - y) = x - x+ y + y[/tex]

[tex](x + y) - (x - y) = y + y[/tex]

[tex](x + y) - (x - y) =2y[/tex]

Solving (b):

Given

[tex]3y + 5y^3[/tex] and [tex]8y^4[/tex]

Required

Which expression shows they are not the same

The expression that shows this is:

[tex]3y + 5y^3 \ne 8y^4[/tex]

Take for instance; y=2

Substitute 2 for y in [tex]3y + 5y^3 \ne 8y^4[/tex]

[tex]3*2 + 5*2^3 \ne 8*2^4[/tex]

Evaluate all exponents

[tex]9 + 5*8 \ne 8*16[/tex]

[tex]9 + 40 \ne 128[/tex]

[tex]49 \ne 128[/tex]

The above expression supports [tex]3y + 5y^3 \ne 8y^4[/tex]

A rectangular garden has a length of 2x - 7 and a width of 3x. Write a simplified expression to represent the area of the garden. (Hint: A=LW where, L is the Lenght and W is the Width). Simplify

Answers

Answer:

The answer is 6x² - 21x.

Step-by-step explanation:

You have to substitute the expressions inro the formula :

[tex]A = length \times width[/tex]

[tex]let \: l = 2x - 7,w = 3x[/tex]

[tex]A = (2x - 7) \times 3x[/tex]

[tex]A = 3x(2x - 7)[/tex]

[tex]A = 6 {x}^{2} - 21x[/tex]

The area of the rectangular garden is 6x² - 21x.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know, The area of a rectangle is (length×width).

Given, The rectangular garden has a length of (2x - 7) and a width of 3x.

Therefore, The area of the garden is,

= (2x - 7)×3x.

= 6x² - 21x.

= x(6x - 21).

learn more about rectangles here :

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approximate the length of the hypotenuse to the nearest tenth without adding a calculator

Answers

Answer:

hypotenuse=6.4

Step-by-step explanation:

One side is 4 units and the other is 5 units.

Hypotenuse= c^2

a^2+b^2=c^2

5^2+4^2=c^2

25+16=c^2

41=c^2

√41=c

c=6.4

Pls help !!! Thank you

Answers

Answer:

y-10=2/3(x-8)

Step-by-step explanation:

(y2-y1)/(x2-x1) is the equation for slope so put your points in you get 2/3 once simplified then its just a matter of putting points in the equation y-y1= m(x-x1)

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