Expand and simplify the following
√3 (√3 - 1)
√5 (√10 + √2)​

Answers

Answer 1

Answer:

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

10+[tex]\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] - 1) → 3 - [tex]\sqrt{3}[/tex]

[tex]\sqrt{5}[/tex] ([tex]\sqrt{10}[/tex] + [tex]\sqrt{2}[/tex] ) → [tex]\sqrt{50}[/tex] + [tex]\sqrt{10}[/tex] → 2[tex]\sqrt{25}[/tex] + [tex]\sqrt{2}[/tex][tex]\sqrt{5}[/tex] → 2(5)+ [tex]\sqrt{10}[/tex] → 10+[tex]\sqrt{10}[/tex]


Related Questions

The graph of a linear is shown below on the coordinate grid. What is the y-intercept of the graph of the linear equation? Bubble is your answer.​

Answers

Answer: -7 on the y-axis

Step-by-step explanation:

Kylie has lemon and watermelon in a ratio of 10:71. How many watermelon does she have if she has 20 lemons

Answers

Answer:

She will have 142 watermelons

Step-by-step explanation:

First let's put our ratio

10 : 71

Since our lemons are now 20 instead of 10 we will divide 20 by 10 to see how many time we multiplied it by.

[tex]20 \div 10[/tex]

which equals 2

To find our water melon we will multiply it by 2

[tex]71 \times 2[/tex]

which equals 142

She will have 142 watermelons

Help me please guys! :(((( or else.!! PLEEEASEE!

Answers

Answer:

Option 4 from the top down: -2.4 ≤ -2.40

Step-by-step explanation:

If looked at without regard for their amount of significant digits, we can state that:

-2.4 = -2.40

Thus, it is true that

-2.4 ≤ -2.40

As this states that -2.4 is smaller or equal to -2.40, of which the latter is indeed true.

Help pls I have no clue what this is

Answers

Answer:

  b = 76°

Step-by-step explanation:

Angle JIK is the smaller acute angle in one of four congruent right triangles. Angle GHK is the larger acute angle in those triangles, marked as 60°. The sum of the acute angles in a right triangle is 90°, so you have ...

  60° +(b-46)° = 90°

  14° +b = 90° . . . . . . . simplify

  b = 76° . . . . . . . subtract 14°

Please help me due on Friday

Answers

Answer:

Galaxies are moving closer together as time progresses

Step-by-step explanation:

Let me know if this helps!


Help asap will give 40 points

Answers

Answer: 1/3

Step-by-step explanation:

310.11 divided by 2????

Answers

Answer:

155.055

Step-by-step explanation:

hope this helps

Answer:

155.055

Step-by-step explanation:

What is the simplified form of the fraction below?
30
*
O A.
OB.
C.
olo
D.
لا اعر

Answers

Answer:

A. 30÷6 = 5

24÷6=4

=4/5.

Step-by-step explanation:

sssssssssssssssssssssss

24/30 simplified is 4/5. Therefore it is A.

Please help me do this question

Answers

Step-by-step explanation:

We need to break up the given expression into two separate fractions so that when they are added together, we will get the original expression.

Note that the denominator is made up of two factors, [tex](2x - 1)[/tex] and [tex](x^2 + 1).[/tex] But note that the 2nd factor is a 2nd order polynomial so as a rule, the numerator of the fraction containing this factor must be an (n - 1)-order polynomial, where n is the order. With that in mind, we can write the general form of the partial fractions as follows:

[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{Ax + B}{x^2 + 1} + \dfrac{C}{2x - 1}[/tex]

[tex]\:\:\:\:=\dfrac{2Ax^2 + Bx - Ax - B + Cx^2 + C}{(2x - 1)(x^2 + 1)}[/tex]

Here, we combined the two fractions to form the equation above. Next, we compare the numerators on either side. Note that we satisfy the equality if we impose the following conditions:

[tex]2A + C = 0\:\:\:\:\:\:\:\:\:\:\:\:\:\:(1)[/tex]

[tex]2B - \:A = 1\:\:\:\:\:\:\:\:\:\:\:\:\:\:(2)[/tex]

[tex]-B + C = 7\:\:\:\:\:\:\:\:\:\:\:\:\:\:(3)[/tex]

To find the values of the constants A, B and C, we need to solve this system of equations. We start by multiplying Eqn(3) by 2 and then adding it to Eqn(2) to get

[tex]-A + 2C = 15\:\:\:\:\:\:\:\:\:\:\:\:\:\:(4)[/tex]

Then, multiply Eqn(1) by -2 to get

[tex]-4A - 2C = 0\:\:\:\:\:\:\:\:\:\:\:\:\:\:(5)[/tex]

Add Eqn(4) to Eqn(5) and we will get

[tex]-5A = 15 \Rightarrow A = -3[/tex]

Now that we know the value of A, we can use this in Eqn(2) to get

[tex]2B - (-3) = 1 \Rightarrow B = -1[/tex]

Next, to solve for C, we use the value of A in Eqn(1) to get

[tex]2(-3) + C = 0 \Rightarrow C = 6[/tex]

Therefore, the given expression can be written as

[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{6}{2x - 1} + \left(\dfrac{-3x - 1}{x^2 + 1}\right)[/tex]

As a check, let's combine the two fractions together:

[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{6}{2x - 1} + \left(\dfrac{-3x - 1}{x^2 + 1}\right)[/tex]

[tex]= \dfrac{6x^2 + 6 - 6x^2 - 2x + 3x + 1}{(2x - 1)(x^2 + 1)}[/tex]

[tex]= \dfrac{x + 7}{(2x - 1)(x^2 + 1)}[/tex]

As expected, we got the original expression.

Y=2x+9
Y=6-x
Solve the system of linear equations by

Answers

Answer: (-1,7)

If you just set them equal to each other by the process of substitution, the equation would look like:

6-x=2x+9
6=3x+9
-3=3x
x= -1

Then solve for y by substituting the x value:

Y=6-(-1)
Y=7

So, your answer would be (-1,7)

Please take a look at the picture

Answers

Answer:

D

Step-by-step explanation:

-6-(-5)=-6+5

         =-1

Answer:

D) The number that is 5 to the right of -6 on the number line

Hope this helps :)

1,200×30%×25%×3% lempiras

Answers

Answer:

2.7

Step-by-step explanation:

1200x 30/100×25/100×3/100=2.7

Two angles of a quadrilateral measure 325° and 10°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answers

Answer:

The answer is 60 and 80

Step-by-step explanation:

A store sells six cupcakes for $7. How much do 18 cupcakes cost?

Answers

Answer:

21 cupcakes

Step-by-step explanation:

6 = $7

18 = 6 x 3

18 = 7 x 3

18 = $21

Answer:

21

Step-by-step explanation:

We can use proportions to solve

6 cupcakes        18 cupcakes

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

7 dollars               x dollars

Using cross products

6x = 7* 18

6x =126

Divide by 6

6x/6 =126/6

x =21

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 45% salt and Solution B is
95% salt. She wants to obtain 60 ounces of a mixture that is 85% salt. How many ounces of each solution should she use?

Answers

we know A is 45% salt, so the amount of salt in A is (45/100)*A or 0.45A.

likewise we know that B is 95% salt, so the salt amount in it is (95/100)*B or 0.95B.

[tex]\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{oz of }}{amount}\\ \cline{2-4}&\\ A&x&0.45&0.45x\\ B&y&0.95&0.95y\\ \cline{2-4}&\\ mixture&60&0.85&51 \end{array}~\hfill \begin{cases} x+y=60\\ 0.45x+0.95y=51\\[-0.5em] \hrulefill\\ y = 60 -x \end{cases}[/tex]

[tex]\stackrel{\textit{substituting on the 2nd equation}}{0.45x+0.95(60-x) = 51}\implies 0.45x+57-0.95x=51 \\\\\\ 0.45x-0.95x=-6\implies -0.5x=-6\implies x = \cfrac{-6}{-0.5} \\\\\\ \boxed{x = 12}~\hfill \stackrel{\textit{we know that}}{y = 60 -x}\implies \boxed{y=48}[/tex]

PLEASE ANSWER!!! HELPPPO

Answers

Answer:

a) 34

b) 17

c)46

Step-by-step explanation:

55-21 = 34

count

is there a way to place 29 books on shelves so that each shelf has the same number of books with more than one book on each shelf explain

Answers

Answer:

No, 29 is prime

Step-by-step explanation:

-2 5/12 - (-10 8/9)

Answers

[tex]-2 \dfrac 5{12} - \left( - 10 \dfrac 89 \right)\\\\\\=- \left(2 + \dfrac 5{12} \right) + \left(10 + \dfrac 89 \right) \\\\\\=8 + \dfrac 89 - \dfrac 5{12}\\\\\\=8+ \dfrac{32}{36} - \dfrac{15}{36}\\\\\\= 8 + \dfrac{17}{36}\\\\\\= 8 \dfrac{17}{36}[/tex]

Jenny has five basketball to treat soccer balls what fraction of the balls are basketballs​

Answers

Answer:

5/8

Step-by-step explanation:

there is 8 total and 5 of them are basketballs

-6x - 3= 27
Help pless ​

Answers

Answer:

x=-5

Step-by-step explanation:

-6x-3=27

add 3 to both sides

-6x=30

divide both by -6

x=-5

I hope this helped :)

Answer:

[tex] \sf \: x = - 5[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ -6x - 3 = 27

Then the value of x will be,

→ -6x - 3 = 27

→ -6x = 27 + 3

→ -6x = 30

→ x = 30 ÷ (-6)

→ [ x = -5 ]

Hence, the value of x is -5.

Interest and fees
the total cost of a credit purchase.
A. maintain
O B. decrease
C. do not affect
D. increase

Answers

Answer:

D. increase

Step-by-step explanation

Intrest and fees are used to make process, and It increases the cost. You have to pay it back in the end.

Answer:

B

Step-by-step explanation:

Normally a normal card purchase won't affect the credit but since your using your credit's to purchase I think it will decrease it, it also depends how many times you use your card, cuz banks sure do be checking. So I hope I helped!

Hey help please math I need help good luck I’ll I’ve point

Answers

Answer:

180 degrees

Step-by-step explanation:

180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.

A parabola can be drawn given a focus of (1,-3) and a directrix of x=9, what can be said about the parabola?

Answers

Check the picture below.

well, we can say that since its directrix is a vertical line, the parabola opens horizontally, the focus point is at the left of the directrix thus it opens leftwards, ithas a vertex at (5,-3), recall that the vertex is half-way between the focus point and the directrix.

Catering the concord theater serves punch during intermission. If each of 200 people think 1 c of punch, how many gallons of punch should be prepared?

please help and show me the answer thank you

Answers

Answer:

they will need 2 gallons of punch

problem referred below
please help

Answers

Answer:

60

Step-by-step explanation:

Perimeter = 2l + 2w

57x2 = 114

234 - 114 = 120

120 / 2 = 60

(6,3) and (2,7) the midpoint formula

Answers

Answer: (4,5)

Step-by-step explanation:

6+2=8/2=4 x=4
3+7=10/2=5 y=5

(4,5)

Find the product. Simplify your answer.
(m+2)(3m+2)

Answers

there you go the answer is in the picture

3m^2+2m+6m+4
3m^2+8m+4

Two angles are supplementary. One of the angles measures 4(2x+9)and the other angle measures 2(4x−8). What is the value of x?

Answers

Answer:

x=10

Step-by-step explanation:

4(2x+9) +2(4x-8) = 180 >> sumpplementary angles .

16x = 180 -36+16

16x=160

x=10

[tex]\int \frac{dx}{x^2\left(9+x^2\right)}[/tex][tex]\int \frac{dx}{x^2\left(9+x^2\right)}[/tex]

Answers

Answer:21 :)

Step-by-step explanation:

Please give me examples to use

Answers

Answer:

cy+d to the middle of the problem

Other Questions
During hibernation, bears do not eat for 5 to 6 months in a row. How can the bear stay alive without eating for this long? 4, 3.7, 3.4, 3.1, ____, ____, ____ what are the next terms Content marketing is intended to attract potential buyers by building a strong brand reputation through online content, including: PLEASE HELP I REALLY NEED HELP! What is the Y-Int, Slope, and Slope-Intercept form? Need help! If you are pushing a shopping cart and you start pushing harder what happens? Please help with this math Communities only contain one population of organisms. True or False ? Angela has 3 gallons of milk.how many quarts of milk dose she have 21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays 4.2% per year. Write a polynomial for the interest he will earn in one year if he invests x dollars in the savings account. is isopropyl alcohol the same as hydrogen peroxide Write a system of linear inequalities represented by the graph?Inequality 1:Inequality 2: Identify the major product that is obtained when 1-hexyne is treated with H2 and Pd. cis-2-hexene 1-hexene hexane trans-2-hexene [1 QUESTIONS Explains why zoonoses is considered essential in biomedical science and state its contribution to human and animal health? Difference between a care worker and a parent when giving medication Give the simplified radical form for each side length requested.Pls answer only if you can explain and if your sure its the right answer. I need help in understanding how to work it myself so please make sure you explain well. the value of x in the solution to the system x+y=10 and x-y=4 What part of physical fitness helps a person be less likely to get hurt whileexercising?A. RunningB. Bicep curlsC. FlexibilityD. Body compositionSUBMIT Hi ! Spanish Question : Worth 25 points !!Reescribe las oraciones colocando comillas inglesas (" ") done sea preciso.1. El polica nos pregunt: Tienen ustedes algo que declarar?2. No comprendo muy bien qu es eso de la movida madrilea.3. Los delincuentes se escondieron en un bosque.4. El poema que mejor recuerdo es Cancin del jinete.5. La historia comienza as: rase una vez un nio muy curioso.6. Segn dice el refrn: A buen entendedor, pocas palabras.7. Mi profesor siempre me deca: Otro da sin el libro?8. Todava no sabe el abecedario? -le pregunt el profesor. General commander for the British Army at the beginning of the Seven Years War