a) write √3×√6 in the form of b√2 where b is the insteger

b) simplify √8×√18

Answers

Answer 1

Step-by-step explanation:

a.) the given term can be written as

=

[tex] \sqrt{3} \times \sqrt{3 \times 2} [/tex]

=

[tex] \sqrt{3 \times 3 \times 2} [/tex]

=

[tex]3 \sqrt{2} [/tex]

hence the given term is

[tex]3 \sqrt{2} [/tex]

where b = 3

b.)

=

[tex] \sqrt{8} \times \sqrt{18} [/tex]

=

[tex] \sqrt{2 \times 2 \times 2} \times \sqrt{2 \times 3 \times 3} [/tex]

=

[tex] \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3} [/tex]

=

[tex]12[/tex]

hence the given term is 12


Related Questions

find the measure of all of the angles on the diagram​

Answers

Answer:

Angle 1: 135*

Angle 2: 45*

Angle 3: 45*

Angle 4: 135*

Angle 5: 135*

Angle 6: 45*

Angle 7: 45*

Angle 8: 135*

Step-by-step explanation:

So we have angle 2, 45*, we can subtract 45 from 180 to get the angle for 1. Since everything is the same size as either 1 or 2 we can just plug in the bigger angle number we have for it, ex 4= 135 and so is 7.

If you don't understand something please don't hesitate to ask.

Answer:

Step-by-step explanation:

∠2 = 45

∠3 = ∠2    {Vertically opposite angles}

∠3 = 45

∠7 = ∠3    {Corresponding angles}

7 = 45

∠6 = ∠7        {Vertically opposite angles}

∠6 = 45

∠1 + ∠2 = 180   {Linear pair}

∠1 + 45 = 180

∠1  = 180 -45

∠1 = 135

∠4 =∠1  {Vertically opposite angles}

∠4 = 135

∠8 = ∠4  {Corresponding angles}

∠8 = 145

∠5 = ∠4         {Alternate interior angles}

∠5 = 145

Identify the percent of change as an increase or a decrease: 1/3 to 2/3


Answers

Answer:

100% increase

Step-by-step explanation:

How does the denominator of the sum, 1 5/12, compare to the denominators of the addends, 2/3 and 3/4?

Answers

Answer:

There denominators are same, ie = 12

Step-by-step explanation:

Sum , 1 + 5/12 = (12 + 5) / 12

= 17 / 12  

Sum , 2/3 + 3/4 = (8 + 9) / 12

= 17 / 12

what ratios is equivalent to 6/7

Answers

Answer:

6:7

12:14

24:28

Step-by-step explanation:

The beginner ratio is 6:7 to find new equal ratios we just multiply both numbers by a number. In those, each of them is multiplied by two. You can multiply it by any number as long as you keep the 6's answer in the 6's spot and same for 7 & that you multiply both sides and not just one.

x=a+b+4 and a is inversely proportional to y²; b is inverseley propotional to 1/y. when y = 2 x = 18 and when y = 1 x = -3. find x when y = 4​

Answers

Answer:

When y = 4, x is equal to 39

Step-by-step explanation:

The given parameters are;

x = a + b + 4

a ∝ 1/y²

b ∝ 1/(1/y) = y

When y = 2, x = 18

When y = 1, x = -3

Therefore, we have;

a·y² = j

a = j/y²

b ∝ 1/(1/y)

∴ b ∝ y

b = k·y

When y = 2, x = 18, we have;

a = j/y² = j/2² = j/4

b = k·y = k·2

x = a + b + 4

∴ 18 = j/4 + k·2 + 4...(1)

When y = 1, x = -3, we have;

a = j/y² = j/1² = j

b = k·y = k·1 = k

x = a + b + 4

∴ -3 = j + k + 4...(2)

Making 'j', the subject of equation (1) and (2) gives;

From equation (1), we have;

18 = j/4 + k·2 + 4

∴ j = (18 - 4 - k·2) × 4 = 56 - 8·k

From equation (2), we have;

-3 = j + k + 4

∴ j = -3 - 4 - k = -7 - k

Equating the two values of 'j', gives;

56 - 8·k = -7 - k

56 + 7 = 8·k - k

63 = 7·k

k = 63/7 = 9

k = 9

From equation (2), we get;

-3 = j + k + 4

k = 9

∴ -3 = j + 9 + 4

j = -3 - 9 - 4 = -16

j = -16

When y = 4, we get;

x = a + b + 4

a = j/y²

b = k·y

∴ x = j/y² + k·y + 4

Plugging in the values of 'j', and 'k' and y = 4, gives;

x = (-16)/y² + 9·y + 4

∴ x = (-16)/4² + 9 × 4 + 4 = 39

x = 39

Therefore;

When y = 4, x = 39.

a line passes through the point (-4 , -5) and has a slope of -5/4. Write an equation in slope - intercept form of this line

Answers

Answer:

y=-5/4x-10

Step-by-step explanation:

(✿◡‿◡) <-- she wants Brainliest

I ned to no what es 5 + 6 for my kindergardin

Answers

Answer:

11

Step-by-step explanation:

5+6=11

Have a great day!!!

HELP!!!! If a scale of 2 in:10 ft is used, how long is an object that is 14 in. long
in a drawing?

Answers

answer: 70 feet
explanation: 14/2=7 7x10=70

UHHHHH IM GONNA FAIL MATH YALL

Just answer it ig-?
I WILL MARK AS BRAINLIEST

Answers

Answer:

30.96 m^2

Step-by-step explanation:

Side length of the square is also the diameter of the semicircle so:

r = 0.5 * 12 m = 6 m

Since you want the area of the shaded area, you have to subtract the area of both semi circles from the area of the square:

Square Area - Semi Circle Area - Semi Circle Area = Shaded Region Area

(12 m * 12 m) - (0.5 * 3.14 * 6^2 m) - (0.5 * 3.14 * 6^2 m)

= 144 - 56.52 - 56.52

= 30.96 m^2

Which function is shown in the table below?

Answers

I believe it is an exponential function.

What is the general form of the equation for the given arce centered at 00.02
OA + 7 + 41=0
OB. 77-41=0
Oc 77 + x + y - 41=0
OD 7 7x-y-41=0

Answers

Answer:

C

Step-by-step explanation:

I think so

Express as a trinomial.
(x-3)(3x+6)

Answers

Answer:

3x^2 - 3x + 18

Step-by-step explanation:

x*3x=3x^2

(x*6)+(-3*3x)=-3x

-3*6=-18

The Washington Monument is an obelisk with a square pyramid top. The slant height of the pyramid is 55.5 feet, and the square base has sides of 34.5 feet. Find the surface area of the pyramid.​

Answers

the answer to your question is 3829.5 ft^2

PLS HELP ME FIND MEASURE AED

Answers

Answer:

C=D=58

B=A=35

AEC=BED=180-(58+35)

=87

AED=BEC=(360-174)/2

=93

AED=93

What is the equation of the line that passes through the point (-3,2) and has an
undefined slope?

Answers

Answer x= -3
Hope this helps :)
X= -3 Utgyfctxtdtcycffy

help help help help help help help help

Answers

i think it’s b but possibly d
the second choice in the second row is the answer

Determine if the triangles are similar. If yes, write a similarity statement and give the scale factor. if NO explain why the triangles are not similar.​

Answers

These triangles are similar because
they both have right triangles with a 90 degree angle

which two graphs pass through the point (3, 7)

Answers

Answer:

kissssssssssssssssssseeeeesssssssses

A and f

Hope this helps!!!

Will give brainiest to correct answer


40x + 45

Answers

Answer:

x= 1.125

Step-by-step explanation:

first we want to get the variable by itself so divide

just divide 45 by 40

1.125 is the answer

HELP PLEASE!!!!!!!!!!!!!!!!

Answers

Answer:

only if you help me i can help you if you help me

Step-by-step explanation:

Write the function rule for this table

Answers

Answer:

f(x) = 1/2x + 2

Step-by-step explanation:

...........

Andrew and Sebastian are training for a weightlifting competition. In order to prepare, each of them has created their own personal training plan as follows:
• Andrew will start off by lifting 50 pounds and will increase the weight he lifts by 10% each week.
• Sebastian will start off by lifting 40 pounds and will increase the weight he lifts by 10 pounds each week.
Which of the following statements are true?
OOOOO
Andrew and Sebastian both increase the weight they lift each week by the same amount
Andrew's training plan can be modeled by a linear function, and Sebastian's training plan can be modeled by an exponential function.
Andrew's training plan can be modeled by an exponential function, and Sebastian's training plan can be modeled by a linear function.
Andrew increases the weight he lifts each week by equal factors, and Sebastian increases the weight he lifts each week by equal differences
Andrew increases the weight he lifts each week by equal differences, and Sebastian increases the weight he lifts each week by equal factors

Answers

Answer: LOLL PLS NOT US BOTH BEING AT OCPS CHEATIN

Step-by-step explanation:

hello help please i’ll mark brainliest!!! thankss

Answers

Answer:

Milky way galaxy

Step-by-step explanation:

Mark me branliest please<3

the milky way galaxy !

For which of these variables would you be interested in finding the biserial correlation coefficient rather than the point-biserial correlation coefficient?

Answers

Answer:

The formula for the point biserial correlation coefficient is:

point biserial correlation formula

M1 = mean (for the entire test) of the group that received the positive binary variable (i.e. the “1”).

M0 = mean (for the entire test) of the group that received the negative binary variable (i.e. the “0”).

Sn = standard deviation for the entire test.

p = Proportion of cases in the “0” group.

q = Proportion of cases in the “1” group.

Most people won’t work this formula by hand as most statistical software packages can calculate the coefficient for you.

Pls help I’m in a call by myself with my math teacher help asap

Answers

Answer:a

Step-by-step explanation:

2(10*6)+2(6*19)+2(10*19)=728

If the function
s
(
x
)
represents a transformation of the graph that shifts the vertex of the graph to
(

7
,

1
)
, which function represents
s
(
x
)

Answers

Answer:

..................

Step-by-step explanation:

...jdjdjejsjesjdjdjwjowjddhdjjfjhrueurjrhbffb


Henri paid $24 for 5 frozen dinners. How much would 20 dinners cost

Answers

Answer:

96 dollars....

Step-by-step explanation:

divide 24 by 5

which is 4.8

which represents that it costs 4 dollars and 80 cents for one dinner

multiply 4.8 and 20

which is 96

Simple all y have to do is multiply 24*20 and the answer would be 48 or 480 dollars (can’t see it on my calculator really good) REALPY SOREY IF IM WRONG


Seven less than a number is 18

Answers

X-7=18
+7 to both side
X=25
hello!

Let the number be n.

Now, "seven less than a number" means we subtract 7:-

n-7

This expression is equal to 18:-

[tex]\sf{n-7=18}[/tex]

[tex]\mathcal{SOLUTION:-}[/tex]

Add 7 to both sides:-

[tex]\bigstar{\boxed{\pmb{n=25}}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

5 4/5 +4 3/8 = what ??///

Answers

Answer:

10 7/40

Step-by-step explanation:

5 4/5 + 4 3/8

4/5 = 32/40

3/8 = 15/40

5 32/40 + 4 15/40 = 9 47/40 = 9 + 1 7/40 = 10 7/40

Answer:

6 7/40

Step-by-step explanation:

That’s the answer and I’m sure cuz I did the math, also have a good night!

help me out with this question (geometry)

Answers

Answer: It should be 24 because Ray SP is an angle bisector

Step-by-step explanation:

Angle 2 is 24 degrees because an angle bisector makes angles congruent
Other Questions
which statement best describes ocean floors and land surfaces?A. Both results from plates colliding or sliding past each other.B. Ocean floors are the bottom of thick plates, while land surfaces are the tops of thin, dense plates.C. Ocean floors are the tops of thin. Dense plates, while land surfaces are the tops of thick, less dense plates.D. Both result from plates spreading outward or sliding past each other.I need the answer ASAP! Place the steps of the DECIDE Model into the correct order:= Consider all of your options and possible consequences of each= Evaluate the outcome= Determine your conflict and/or situation= Identify your choice by using your values and other positive influences= Educate yourself and examine your options= Decide on the healthiest option PLZ PLZ PLZ PUT THEM IN ORDER CORRECTLY pls help been waiitng for 2 hours now.. Write an exponential equation with (1, 8) and (2,32) describe the basic functions ofreligionandtheir connections to development. 5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). The probability that X is between 1.48 and 15.56 is _____________. Write out the probability notation for this question. help plz !!! I have 6 min. PLEASE HELP MEOn a math quiz, you earn 10 points for each question answered correctly. In the equation below, x represents thenumber of questions that you answer correctly on this quiz, and y represents the total number of points you score onthis quiz. The relationship between these two variables is modeled by the equation y - 10x.What is the independent variable?A)The value of 10 in the equation.B)The total number of points scored on the exam.C)The number of questions answered correctly on the exam.D)The independent variable cannot be determined from the giveninformation what is ecosystem....... Why are scientists worried that climate change will cause these toxic algae blooms to become more frequent? How do trees help reduce carbon dioxide in the atmosphere? 6x + 8y + 6 ; x = 2 , y = 6 Which of the following expressions represent 15% tip on a $20 meal? Which represents the total bill? **Select all that apply**. Explain your reasoning for the choices you select.A.) 1520B.) 20+0.1520C.) 1.1520D.) 1510020 There are 7 students in cara art club . They need to share 2 rolls of clay equally . Cara wants to know how much clay she will get? what is the answer to 4/5 x 5/8 please help me i really need this grade ! I'll give brainlist to the person that answers Hello please help me with this problem. For 38 points Its is algebra 1 Read the passage from "Snow. "Snow," I repeated. I looked out the window warily. All my life I had heard about the white crystals that fell out of American skies in the winter. From my desk I watched the fine powder dust the sidewalk and parked cars below. Each flake was different, Sister Zoe said, like a person, irreplaceable and beautiful.What adjective best describes the tone of this excerpt?worriedconfusedawestruckhopeful will mark brainliest and rate 5/5