Mathematics High School

Take a factor out of the square root:
a) √6x^2, where x≥0
b)√9a^3
d)√50b^4
plz help 30 points will give brainliest

Answers

Answer 1

Answer:

Question A)

[tex]=\sqrt{6}x[/tex]

Question B)

[tex]=3a\sqrt{a}[/tex]

Question C)

[tex]=5\sqrt{2}b^2[/tex]

Step-by-step explanation:

A)

We are given:

[tex]\sqrt{6x^2}\, \text{ where } x\geq 0[/tex]

We can rewrite the expression:

[tex]=\sqrt{6}\cdot \sqrt{x^2}[/tex]

The square root and square will cancel each other out. Thus:

[tex]=\sqrt{6}x[/tex]

B)

We are given:

[tex]\sqrt{9a^3}[/tex]

Rewrite:

[tex]=\sqrt{9}\cdot \sqrt{a^3}[/tex]

Note that the square root of 9 is simply 3. We can also factor the second part:

[tex]=3\cdot \sqrt{a^2\cdot a}[/tex]

Rewriting:

[tex]=3\cdot\sqrt{a^2}\cdot\sqrt{a}[/tex]

Simplify:

[tex]=3a\sqrt{a}[/tex]

C)

We are given:

[tex]\sqrt{50b^4}[/tex]

Rewrite. Note that 50 = 25(2):

[tex]=\sqrt{25}\cdot \sqrt{2}\cdot \sqrt{b^4}[/tex]

Simplify. We can rewrite the factor as:

[tex]=5\cdot \sqrt{2}\cdot \sqrt{(b^2)^2}[/tex]

The square and square root will cancel out. Thus:

[tex]=5\sqrt{2}b^2[/tex]

Related Questions

PLEASE HELP! 15 POINTS! Select the statement that describes this expression: fraction 1 over 2 x (734 − 246). (2 points)

Group of answer choices

Half the sum of 734 and 246

fraction 1 over 2 the difference between 734 and 246

fraction 1 over 2 the quotient of 734 and 246

2 times the difference between 734 and 246

Answers

Answer:

fraction 1 over 2 the difference of 734 and 246.



Find the volume of each figure. Round the answer
5 min
4 mm
18 nm
8 mm

Answers

Try 18mm that should be the answer

Pls help will mark brainliest

Answers

Answer:

9) (68 + 160)/2 = 114°

10) 80/2 = 40°

11) 105 x 2 = 210°

12) 80 x 2 = 160°

13) (360 - 180 - 108)/2 = 36°

14) (360 - 69 - 95)/2 = 98°

Solve for x
HELP ME PLEASEEEE

Answers

Answer:

x = 9

Step-by-step explanation:

5x + 7 = 52

5x = 52-7

5x = 45

x= 9

which expression is equivalent to 18 * 12 A) 12 * 18) B) 10*8*12) C) (10+8) * (10+12). Please hurry ​

Answers

Answer:

12*18

Step-by-step explanation:

18*12 is the same as 12*18 and they both equal 216

What is the Median for the Box & Whisker Plot below?

HELP PLEASEE

Answers

Answer:

20

Step-by-step explanation:

Min is about to roll a six-sided number cube.What is the probability that she will roll an even number? A) 1/4.. B) 1/3 C) 1/2 D) 5/6

Answers

Answer:

C) 1/2

Step-by-step explanation:

3 of the 6 numbers on a cube are even. 3/6 = 1/2

e. 15 = 1.5t t=? Solve please

Answers

Answer:

E Z

10

Step-by-step explanation:

15 = 1.5t

so t = 15/1.5

      = 10

Answer: t = 10

1. Switch sides

- 1.5t = 15

2. Multiply both sides by 10

- 15t = 150

3. Divide both sides by 15

4. Simplify

t = 10

Please help me to finish the table! D:

Answers

Answer: 32, 27, 20

Step-by-step explanation: This is a quadratic table.

Three angles of a quadrilateral measure 45°, 95°, and 111°. What is the measure of the fourth angle of the quadrilateral?​

Answers

Answer:

109°

Step-by-step explanation:

sum of angles of a quadrilateral=360°

45+95+111+fourth angle=360

fourth angle=360-251=109°

this this this!!!!! can u answer​

Answers

Answer:

A= 30

B= 24.3

Step-by-step explanation:

The height of a parallelogram is 4 millimeters more than its base. If the area of the
parallelogram is 221 square millimeters, find its base and height.

Answers

Answer:

523 inches

Step-by-step explanation:

got it right on edg

A drug store chain provides an app to its customers to track their shopping habits. One statistic the app

tracks is the amount of money the customer saves by purchasing sale items. The company's sales

team pulls data from the previous year for a random sample of 50 customers. They find that the

mean amount of money saved by these customers in the previous year is $154 with a standard

deviation of $26.

(a) Construct a 99% confidence interval for the true mean amount of money saved by all customers

in the previous year by purchasing sale items.

(b) The sales team would like to repeat this study with the goal of obtaining a smaller margin of

error. Propose two changes that would decrease the margin of error. What are potential

drawbacks if those changes are implemented?

Answers

Answer:

a) CI ( 99% )  = ( 145,45 : 162,55)

b) b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI  let´s say to 95 % but in that case

you will increase de error type I

Step-by-step explanation:

a) CI = 99 %       α = 1%   α = 0,01

From z-table     z(c)  ≈ - 2,325    |z(c)| ≈ 2,325

CI = ( μ₀ ± z(c) * σ/√n )

CI = ( 154 - (2,325) * 26/√50 ; 154 + (2,325) * 26/√50 )

CI = ( 154 -  8,55  ;  154 + 8,55

CI ( 99% )  = ( 145,45 : 162,55)

b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI  let´s say to 95 % but in that case

you will increase de error type I

Brianna is going to the amusement park, where she has to pay a set price of
admission and another price for tickets to go on each of the rides. Brianna made the
linear graph below to indicate the money she might spend in total. What does the
y-intercept in the graph represent?

Answers

Im pretty sure the answer is A but if not then it is C

This is bcuz B doesn’t make sense because the graph doesn’t say anything close to 100 rides and D doesn’t make sense either.

Hope this helped.

Why does the moon goes through phases?

A.
The moon rotates around its axis.

B.
The moon revolves around Earth.

C.
Earth rotates around its axis.

D.
Earth revolves around the sun.

Answers

Ccccccc don’t click the link they are hackers

It is because the moon revolves around Earth.

Hope it helps you...

Plz help me we are almost done

Answers

Answer: 1. A 2. 1/5 3. 5/12 4. Not sure

Step-by-step explanation:

Look at this graph.
What type of function is shown above?
O A.
exponential
OB. absolute value
OC. polynomial
2021 Frimenti

Answers

Answer:

It's exponential

Step-by-step explanation:

Solve for x.
-3(x+5)=-9
Enter your answer in the box. X=__

Answers

Answer:

x=-2

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.


Select the simplification that accurately explains the following statement.

Answers

Under C, I believe. When we have the same base (2 in this case), 2^1/4*2^1/4 can be written as 1/4+1/4 since it’s the same base. And 1/4+1/4+1/4+1/4 is 4/4 and that is 1 so 2^1 is 2.

Answer:

look below I got it right

Step-by-step explanation:

look carefully, for some people it’s a, for some it’s different so just look and compare to the answers

what is the value of A and B (5x + b)(5x - b) = ax^2 - 49

Answers

Answer:

a=25

b=7

Step-by-step explanation:

Maria paddled at a steady in a 2-mile canoe race. Her finish time was 3/5 hour.

Which fraction represents Maria’s speed in miles per hour?

3/5^/2

2/5

3/5

2/^3/5

Answers

Answer: 2/^3/5

Step-by-step explanation:

Maria paddled at a steady in a 2-mile canoe race. Her finish time was 3/5 hours. The fraction represents Maria’s speed in miles per hour is 2 /^3/5. The correct option is d.

What is the fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction.

The type of fractions are:

Proper fraction.Improper fraction.Equivalent fractions.Mixed fraction.Like fractions.Unlike fractions.

Here, Maria paddled 2 mile (distance). The time is 3/5 hours (time).

The fraction is speed = distance/time

2 mile / 3/5

Therefore, the correct option is d. 2 /^3/5.

To learn more about fractions, refer to the below link:

https://brainly.com/question/24411984

#SPJ5

What is x abc def

A. 45
B. 60
C. 75
D. 30

Answers

Answer:

C

Step-by-step explanation:

C. 75

60 + 45 = 105
180-105= 75

therefore 75 is your answer

what is the distance between (6,-7) (3,-5)

Answers

Answer:

4,684 km

Step-by-step explanation:

The distance between the two points is 3.60555.
I don’t know if the graph you are using for this question has a label amount such as inches or centimeters, if it does then you just add the label onto it accordingly.

If you need help calculating the distance between two point on a graph, you can use this website:

https://www.omnicalculator.com/math/distance

the square root of 279 lies between what two whole nunbers

Answers

Answer:

Step-by-step explanation:

The square root of 16 and the square root of 17

Answer:

29 and 34

Step-by-step explanation:

cause

A computer programmer charges $30 for an initial consultation and $35 per hour for programming. Write a formula for her total charge for h hours of work. *
1 point
A) (30 + 35)h
B) 30 + 35h
C) 35 + 30h
D).65h

Answers

B- 30+35h is the answer for sure

Use the figure to find the measures of the numbered angles. PLZZZ HELPPPP

Answers

angle 1 = 90°

angle 2 = 90°

angle 3 = 90°

angle 4 = 90°

angle 5 = 90°

angle 6 = 90°

angle 7 = 90°

Answer:

All of them are 90 degrees.

Step-by-step explanation:

Please answer correctly! I will mark you Brainliest!

Answers

Answer:

4.1 inches

I would appreciate Brainliest, but no worries.

Answer:

6

Step-by-step explanation:

the formula for the sphere's volume is [tex]\frac{4}{3} *\pi *r^3[/tex]

so when you set that equal to 288[tex]\pi[/tex], you get 6 as the radius


If you give me five apples a day how many days would it take me to get 800 apples.

Answers

Answer:

160 days

Step-by-step explanation:

800 divided by 5 equal 160

Answer:

your answer is 160 days

Step-by-step explanation:

800÷5=160 days

I hope this helps

have a nice day/night

mark brainliest, please :)

25 points. Get it before the mod sees it!

gogogogo lol

Answers

Answer:

yy

Step-by-step explanation:

bi

Ayyyyyyoooooo !!!!!!

Can someone pleaseeee helppp i dont know how to do this

Answers

Answer:

C=3e

Step-by-step explanation:

Slope=

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