find a and b if
[tex] \sqrt{5} + \sqrt{3} \div \sqrt{5 } - \sqrt{3} [/tex]
if a-b√15 ​

Answers

Answer 1

Answer:

a=-19/7, b=5/7

Step-by-step explanation:

Answer 2

Answer:

        a = 4     b = -1

Step-by-step explanation:

I think you meant [tex](\sqrt5+\sqrt3)\div(\sqrt5-\sqrt3)[/tex]

Then:

        [tex](\sqrt5+\sqrt3)\div(\sqrt5-\sqrt3)=\dfrac{\sqrt5+\sqrt3}{\sqrt5-\sqrt3}\cdot\dfrac{\sqrt5+\sqrt3}{\sqrt5+\sqrt3}=\\\\\\=\dfrac{(\sqrt5)^2+2\cdot\sqrt5\cdot\sqrt3+(\sqrt3)^2}{(\sqrt5)^2-(\sqrt3)^2}=\dfrac{5+2\sqrt{15}+3}{5-3}=\dfrac{8+2\sqrt{15}}{2}=\\\\\\=\dfrac{2(4+\sqrt{15})}{2}=4+\sqrt{15}\\\\\\a=4\,,\qquad b=-1[/tex]


Related Questions

What is r - 8.5 = -2.1 pls help♥️

Answers

Answer:

r=6.4

Step-by-step explanation:

Get r by itself you need to add 8.5 to get 6.4

Hope this helps (:

Answer:

r-8.5=-2.1

r=-2.1+8.5

r=6.4

Step-by-step explanation:

expand and simplify (x-2)(2x+4)

Answers

Answer:

[tex]2 {x}^{2} - 8[/tex]

hope it's helpful ❤❤❤

THANK YOU.

Answer:

2x² - 8

Step-by-step explanation:

Given

(x - 2)(2x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(2x + 4) - 2(2x + 4) ← distribute both parenthesis

= 2x² + 4x - 4x - 8 ← collect like terms

= 2x² - 8

pls answer 5a b and c for brianlist

Answers

5.a) Steve - 60=5×12

= 5×3×2×2

5.b) Ian - 60=6×10

= 3×2×5×2.

Discussion - The prime factors reduce to the same numbers in both Steve's and Ian's case.

5.c) Case 1 of 48 = 6×8

= 3×2×2×2×2.

Case 2 of 48 = 12×4

= 2×2×3×2×2.

Solve the system.
4x + 3y = 10
9x - 4y= 1

Answers

it’s would be (1,2)

4x+3y=10 <— you solve for x and get x=5/2-3/4y

then substitute the value of x into 9x-4y=1 to get
9(5/2-3/4y)-4y=1

solve the equation for Y
y=2

now sub the value of y into x=5/2-3/4y
x=5/2 - 3/4 times 2

your answer would be x = 1

therefore you get (x,y) (1,2)

After solving the given equations, the value obtained for x and y will be equal to (1, 2).

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equations in the question,

4x + 3y = 10      (i)

9x - 4y = 1        (ii)

Multiply equation (i) by 9 and multiply equation (ii) by 4  

36x + 27y = 90

36x - 16y = 4

A similar term of x will cancel out from here.

y = 86/43

y = 2

Put y = 2 in equation (i)

4x + 3(2) = 10

4x = 4

x = 1

To know more about equation:

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A drink is mixed in the ratio lemonade : orange : cranberry = 6 : 3 : 2 What fraction is orange?

Answers

Answer:

3/11

Step-by-step explanation:

If we add all the numbers together we get 11.

6 + 3 + 2 = 11

Therefore there are 11 parts altogether in the drink.

Orange is 3 parts out of all, so that means it is 3/11 in fraction-form.

Un tren transporta 268 pasajeros en cada viaje.Si realiza 8 viejes diarios, 5 dias a la semana, ¿cuantas personas podria transportar en tota?

Answers

308 personas por qué

268+8×5=308

N a survey, 75% of respondents said that they watch TV for one hour each day. If 30 respondents said they watch TV for one hour each day, how many respondents took the survey in total? A 70

Answers

Answer:

40 respondents

Step-by-step explanation:

Percentage of respondents who watch TV for one hour each day = 75%

Number of respondents who watch TV for one hour each day = 30

Let [tex]x[/tex] denotes total of respondents who watch TV for one hour each day.

Therefore,

[tex]\frac{75}{100}x=30\\\\x=\frac{100}{75}(30)=40[/tex]

A factory uses 15 pounds of steel for every 18 pounds of copper. How much copper will the factory use for 2,700 pounds of steel?

Answers

Answer:

3240 pounds of copper would be used

Step-by-step explanation:

[tex]\frac{18}{15}=\frac{x}{2700} \\(2700)*(\frac{18}{15})=x\\3240lbs=x[/tex]

Any help? Still learning this so it’s not of a problem. Thanks!

Answers

72 degrees x=18 btw and 4x and 8x are supplementary

A motorcar is running at the rate of 66 km per hour. Each
of its wheels makes 500 revolutions per minute. Find the
radius of the wheel.
.(Ans: 35 cm)

Answers

Answer:

Given:

The radius of a wheel =r=35 cm=0.35 cm.

The speed it must keep =s=66 km/h=

60

66×1000

m/min=1100 m/min

To find out:

The number of revolution =n, it makes per minute to maintain that speed.

Solution:

The circumference =C of the wheel =2πr=2×

7

22

×0.35 m=2.2 m=C

The distance the wheel covers in 1 min=d=1100 m.

Now the distance =d covered by a wheel in one revolution = the circumference of the wheel.

∴ Here the number of revolution =n=

C

d

=

2.2

1100

=500.

WILL GIVE BRAINLIEST Which of the following describes the quotient of 3 and -30?
A.
The quotient is an irrational number.
B.
The quotient is a rational number.
C.
The quotient is undefined.
D.
The quotient is an integer

Answers

Answer:

if i am correct the answer is A

Step-by-step explanation:

The quotient of 3 and -30 is a rational number. The correct answer would be an option (B).

What is the Quotient?

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

The quotient of 3 and -30 is:

3 ÷ (-30) = -0.1

Therefore, the quotient is a rational number. Option B is correct.

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. In this case, -0.1 can be expressed as the ratio of the integer -1 and the integer 10, where the denominator 10 is not zero.

Note that the quotient is negative because we are dividing a positive number (3) by a negative number (-30).

Learn more about the quotient here:

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What are rational and irrational numbers and how are radicals related to rational exponents?

Answers

A rational numbers is any number that can be turned into a fraction/ratio. (Ex. 8, 0.75, 1/3). An irrational number is anything that can't be turned into a fraction/ratio. (Ex. Pi, square root of 2). Radicals and rational exponents are related because radicals can be converted into rational exponents.

Answer:

Any number that can be written as a fraction with integers is called a rational number. An irrational number is a number that cannot be expressed as a fraction for any integers. Radicals are related because for irrational numbers they cannot be simplified under the radical and you use a radical on the exponent to cancel it out, hope this helps!

Step-by-step explanation:

3) Which of the expressions shown below has a value of 1/4?
A) lll only
B)l,ll, and lll only
C)ll only
D)ll and lll only

Answers

Answer:

it is number 3. or III.

Step-by-step explanation:

hope this helps

the answer is D. ll and lll only

Who can answer these?

Answers

Here is my answer, hope to help you

Henry buys a softball for $16 plus a 9% tax. Ella buys a pair of shoes for $17 plus a 9% tax. Enter the difference in the amount Henry and Ella paid, including tax.
Round your answer to the nearest cent.

Answers

Answer:

$1.09

Step-by-step explanation:

1) Sales Tax Amount = Net Price x (Sales Tax Percentage / 100)  

2) Total Price = Net Price + Sales Tax Amount

E= $18.53

H= $17.44

18.53 - 17.44= 1.09

You know you need to show your work.

A cone has a diameter of 22 inches and a height of 15 in. What is the volume
of the cone? (Use 3.14 as an approximation of)*

Answers

Answer:

1899.7 in^3.

Step-by-step explanation:

Radius = 1/2 diameter

= 22 * 1/2 = 11.

Volume = 1/3 pi r^2 h,  so

= 1/3 * 3.14 *1 1^2 *1 5

= 1899.7 in^3.

Satellites technology and ______technology help in telecast of programmes
Radar
Wireless
Cable
During ​

Answers

Radar is the right answer

random question: (18+6786+(5!))/89.5

Answers

Answer:

77.36312849162011

Step-by-step explanation:

Sarah draws a square that has a side that measures 35.2 mm. What is the perimeter of the square?

Answers

Answer:

140.8 cm2

Step-by-step explanation:

a spare has 4 sides so you need to times 35.2 by 4 which is 140.8

What is the slope of (0,-1) and (5,-5)

Answers

-4/5 it’s the correct answer
(-4,5) is the slope.

Find the height of a cuboid whose volume is 540cu.cm and base area is 90sq.cm

Answers

Answer:

6 cm

Step-by-step explanation:

Vcuboid  = lwh

⇒ h = Vcuboid ÷ lw

∴  h = 540 cm³ ÷ 90 cm²

⇒ h = 6 cm

Charles is planning a trip to Guatemala. He has allocated $415 for spending money. If the exchange rate from US
dollars to Guatemalan quetzals is 1:8.5135. how much money does Charles have, as measured in quetzals? Round
your answer to two decimal places.
3,533.10 quetzals
b. 2,131.02 quetzals
768.31 quetzals
d. 48.75 quetzals

Answers

Answer:

A

Step-by-step explanation:

Charles have 3533.10 quetzals.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

Charles allocated amount for spending = $415.

The exchange rate from US dollars to Guatemalan quetzals.

= 1 : 8.5135

This means,

$1 = 8.5135 quetzals

Now,

$1 = 8.5135 quetzals

Multiplying 415 on both sides.

$415 = 415 x 8.5135

$415 = 3533.1025 quetzals

Rounding to two decimal places.

$415 = 3533.10 quetzals.

Thus,

Charles has 3533.10 quetzals.

Learn more about unit conversion here:

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Solve.
-52-3
2
21
-21
Dons -

Answers

Answer & Step-by-step explanation:

-52-3+2+21-21 =

-55+2+21-21 =

-53+21-21 =

-32-21 =

-53 =

Am I right?
Plz tell me

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes you are right,

WILL MARK BRAINLIEST
Which of the following are independent events?

randomly choosing a marble from a bag, replacing it, and choosing again reaching into your pocket and pulling out two dimes out of 20 coins

drawing a number from a hat, not replacing it, and then drawing a second number

rolling a number cube, rolling again, and trying to match the first roll

Answers

I believe the second one : drawing a number from a hat, not replacing it, and then drawing a second number

Answer:

The first choice.

Step-by-step explanation:

An independent event is an event where the probability of the event doesn't affect the probability of the other.

Randomly choosing a marble from a bag, replacing it, and choosing again reaching into your pocket and pulling out two dimes out of 20 coins.

- This is an independent event since the probability of the first event doesn't affect the probability of the second event in any way.  

Given the right triangle, what should be the measurment for the hypotenuse?

Answers

Answer:

2x...................

A new car is purchased for $40,000 and over time its value depreciates by one half
every 3 years. What is the value of the car 17 years after it was purchased, to the
nearest hundred dollars?

Answers

9514 1404 393

Answer:

  $800

Step-by-step explanation:

The value formula can be written ...

  y = 40,000(1/2)^(t/3)

Using t=17, this becomes ...

  y = 40,000(1/2)^(17/3) ≈ 800

The value of the car after 17 years is about $800.

Solve for b

-1/3b=9

B=-27
B=-3
B=3
B=27

Answers

Step-by-step explanation:

[tex] - \frac{1}{3} b = 9 \\ b = -9 \times 3 \\ b = - 27[/tex]

Answer:

b=−27

Step-by-step explanation:

took the quiz and got it right

plz help me will give brainliest

Answers

Answer:

10

Step-by-step explanation:

Factor2.x2 + 13x – 7

Answers

Answer:

0.2 ( 65x − 24 ) hope this is correct and helps you

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