Mathematics High School

Solve.
[tex] \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } + \frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} + \sqrt{3} } [/tex]
Solve.

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Answers

Answer 1

Step-by-step explanation:

Hope it will help you a lot.

Solve.[tex] \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } + \frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5}

Related Questions

Which graph represents the solution of the inequality |3x+12| ≥ 3?

Answers

Answer:  A

Step-by-step explanation:

The solution to the inequality is x <= -5 and x>=-3 so A is correct

what is the sum of the rational expressions below 2x+5/9x+4x/x-3

Answers

Answer:

23x + 9

 ———————

    9  

evaluate the expression.

Answers

Answer:

The value of [tex](-25)^{\frac{1}{2} }=5i[/tex]

Step-by-step explanation:

We need to find [tex](-25)^{\frac{1}{2} }[/tex]

We have

[tex](-25)^{\frac{1}{2} }=\sqrt{-25} \\\\=\sqrt{25} \times\sqrt{-1} \\\\=5 i[/tex]

how many days are in a year?

Answers

Answer:

365 days in a year

Step-by-step explanation:

Look at a calendar

Answer:

Three hundred and sixty-five

Step-by-step explanation:

We know this because it takes exactly 1 year (365 days) to make one rotation around the sun. But we see the sun every day because the earth is on a sort of axis that it rotates on so when one-half of the earth does not see the sun the other half does due to this axis.

please keep it simple.

Answers

Answer:

[tex]z^{2} +\frac{1}{2} +11z[/tex]

Step-by-step explanation:

→ Minus the z² terms

[tex]1\frac{1}{2} z^{2} -\frac{1}{2} z^{2}=1 z^{2}[/tex]

→ Minus the whole numbers

[tex]3\frac{1}{2} -3=\frac{1}{2}[/tex]

→ Add the z terms

11z

Whats the answer to this question?

Answers

Answer:

Try -4

Sorry if it's incorrect.

Step-by-step explanation:

Answer:

  [3, -1]

Step-by-step explanation:

The computation is performed element by element, as you appear to have figured.

  2f -g = 2[4, 1] -[5, 3] = [2·4 -5, 2·1 -3] = [8-5, 2-3]

  2f -g = [3, -1]

The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 m, find its length and width.

Answers

Answer:

20m

Step-by-step explanation:

let the length be x and the width be y

x = 4y

2x + 2y = 50

2(4y) + 2y = 50 ( since x = 4y )

8y + 2y = 50

10y = 50

y = 5m

x = 4y

x = 4(5)

x = 20

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Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles per hour. Let x represent the distance Sherrod drives and y represent the distance Kamar drives.

a. Write an inequality that represents the miles that Sherrod and Kamar drive.

b. GIve 2 possible combinations of miles that Sherrod and Kamar can drive that satisfy the inequality.

Answers

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

a. The inequality that represents the miles that Sherrod and Kamar drives is; x + y ≤ 900b. Two possible combination of x and y are; (600, 300) and (300, 600)

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

x + y ≤ 900

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

First combination; (600, 300)

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

Second combination; (300, 600)

Learn more about inequalities here:

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Triangle ABC is translated 2 units right and 5 units down to form triangle A’B’C’. This triangle is then translated 5 units right and 4 units up to form triangle A”B”C”. If the vertex A is at (-4, 2), what are the coordinates of vertex A”?

Answers

Answer:

(3,1)

Step-by-step explanation:

(x,y) (-4,2)

so -4 +2 = - 2 ; -2 +5 = 3

and for y: 2 - 5 = - 3 ; - 3 + 4 = 1

(3,1)

Greg earns $2.50 per hour plus $13.50 for each pool he cleans. He worked 8 hours and cleaned 5 pools. How much did he earn?

Answers

Answer:

87.5

Step-by-step explanation:

2.5 multiple by 8(number of hours) gives 20 dollars

Then 13.5 multiple by 5(number of pools cleaned) gives 67.5

The sum of both is 87.5 dollars

There are 4 consecutive EVEN integers that have a sum of 268. What are the integers?

Answers

64 + 66 + 68 + 70

hope this helps!

What is the cash payment of a article costing RS.2020 allowing a discount of Rs.20 and levying 13% VAT?​

Answers

The cash payment for the article is RS. 2,260.

A discount reduces the price of an item. The article becomes cheaper after the discount.

Cost of the article after the RS. 20 discount = RS. 2020 - 20 = RS 2000

VAT means value added tax. VAT increases the price of an item. The cost of the article increases by 13% after the  VAT is levied,

Cost of the article = (100 + 13%) x 2000

1.13 x 2000 = RS 2,260.

To learn more about taxes, please check: https://brainly.com/question/25311567

Very important question ⁉️​

Answers

Answer:

90°

Step-by-step explanation:

AB and  CD are parallel lines and EF is reversal  

Therefore angles BGH and DHG are consecutive interior angles  

As we know the sum of consecutive interior angles equals to 180°:  

∠BGH + ∠DHG = 180°

Line GP bisects angle BGH , therefore  

m∠PGH = 1/2*m∠BGH

Line HP bisects angle GHD, therefore  

m∠PHG = 1/2*m∠GHD

Sum of two angles of triangle GHP:  

m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°

Therefore the missing angle a is:  

∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°

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Answers

Answer:

Step-by-step explanation:

yasss its C

The school band sold T-shirts for a fundraiser. They earned $6 profit on each T-shirt minus $4 for flyers. Give verbal description relating the number of T-shirts and the profit. Find the profit for selling 30 T-shirts

Answers

The school band could have a profit of $ 60 for selling 30 T-Shirts.

For the sale of each T-shirt the school band have a net profit of $ 6, of which $ 4 are discounted by concept of flyers and, thus, this band has a final profit of $ 2 for the sale of a T-shirt. The total profit for T-shirt sales equals the product of number of T-shirts sold and the final profit for each T-shirt sold.

Hence, the profit for selling 30 T-shirts is shown below:

[tex]C = (\$\,2)\cdot (30)[/tex]

[tex]C = \$\,60[/tex]

The school band could have a profit of $ 60 for selling 30 T-Shirts.

To learn more on net profit issues, we kindly invite to check this verified question: https://brainly.com/question/13749820

Please help!!

I have to find the slope of the blue line on the graph

Answers

Answer:

2

Step-by-step explanation:

Using points (0,0) and (2,4)

slope= (y2 - y1)/(x2 - x1)

= (4-0)/(2-0)

= 4/2

= 2

What is the value of y?
y-5 1/2 = 3 1/3

Answers

Step-by-step explanation:

Y - 5 1/2 = 3 1/3

Y = 3 1/3 + 5 1/2

Y = 8.83

The diameter of a cylindrical construction pipe is 6 ft. If the pipe is 26 ft long, what is its volume?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:

First find the area of the circular base. The diameter is 6, so the radius is 3.

A circle is pi r square, so it is 3.14 x 3^2, = 28.26

Multiply that by the length 28.26 x 26 = 734.76, which rounds to 735 cubic feet.

PLEASE HELP ME!!!!

Which table represents the increasing linear function with the greatest unit rate?

Answers

Answer:

the answer should be C

Step-by-step explanation:

Hope this helps!

question and options are in the picture!

Answers

The answer would be (0,14). Because you are having to rewrite it in slope-intercept form. Then solving for y.

Combine the like terms to create an equivalent expression:
-n+(-4)-(-4n)+6

Answers

Step-by-step explanation:

-n + (-4) - (-4n) + 6 = -n - 4 + 4n + 6 = 3n + 2

Answer:

3n+2

Step-by-step explanation:

-n+(-4)-(-4n)+6

= -n-4+4n+6

= 3n-4+6

= 3n+2

what is factor write its type​

Answers

Answer:

These are the answers

Step-by-step explanation:

factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Hope it helps !

Please help this is due on Monday! Will give brainliest!!!!

Answers

Answer:

The awnser in the first option. A

The opposite of −358 is on the
(same or opposite)
side of zero on a number line as −358. The opposite of 429is on the
(same or opposite)
side of zero on a number line as 429.

Answers

the opposite of -358 is on the opposite side

the opposite of 429 is on the opposite side

Answer:

A: Opposite

B: Same

Step-by-step explanation:

I'm not really sure, please tell me if I'm incorrect

There are 120 apartments on 15 floors. Find the unit rate.

Answers

8 apartments per floor.

This is a fraction equal to 120 apartments divided by 15 floors. We want a unit rate where 1 is the denominator, so we should divide the top and the bottom by 15

38 degrees 2x degrees +6 degrees

Answers

STEP
1
:
Pulling out like terms

Pull out like factors :

32 - 2x = -2 • (x - 16)

STEP
2
:

Equations which are never true:

2.1 Solve : -2 = 0

This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:

2.2 Solve : x-16 = 0

Add 16 to both sides of the equation :
x = 16

Insert two rational number between: 2.23 bar and 2.24 bar
​

Answers

General method:

Given numbers are 2.23 bar and 2.24 bar

2.23 bar = 2.232323...2.24 bar = 2.242424...

Two rational numbers between them

= 2.232525... and 2.239899...

Mean Method:

Let X = 2.232323...→ → →eqn(i)

since the periodicity is 2 then multiply eqn(i) with 100

⇛100×X = 2.232323...×100

⇛100X = 223.232323...→ → →eqn(ii)

Subtract eqn(ii)- eqn(i)

100X = 223.232323...

X = 2.232323...

(-)

__________________

99X = 221.000000...

__________________

⇛99X = 221

⇛X = 221/99

and

Let X = 2.242424...→ → →eqn(i)

since the periodicity is 2 then multiply eqn(i) with 100

⇛100×X = 2.242424...×10

⇛100X = 224.242424...→ → →eqn(ii)

Subtract eqn(ii)- eqn(i)

100X = 224.242424...

X = 2.242424...

(-)

_________________

99X = 222.000000

_________________

⇛92X = 222

⇛X = 222/99

Now we have 221/99 and 222/99

The rational number between them by mean method (a+b)/2

⇛{(221/99)+(222/99)}/2

⇛(443/99)/2

⇛443/198

and Second rational number

⇛{(221/99)+(443/198)}/2

⇛{(442+443)/198}/2

⇛(885/198)/2

⇛885/396

Answer: The two rational numbers between them are 443/198 and 885/396.

also read similar questions: Give five rational numbers lying between 3/5 and 4/5. Insert six rational numbers between 3 and 4.

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Y=2x,x+y=9 solve by substitution show work

Answers

Answer:

(3,6)

Step-by-step explanation:

y = 2x

x+y = 9

; x+(2x) = 9

3x = 9

x = 3

y = 2x

y = 2(3)

y = 6

Hello there here is the problem you gave us

[tex]y=2x,x+y=9[/tex]

You want to us to solve this by substitution,

_______________________

[tex]y=2x[/tex] [tex]x= \frac{1}{2}y[/tex]

_______________________

we can substitute [tex]y[/tex] for [tex]2x[/tex] and get the equation

[tex]x+2x=9[/tex], do the simple algebra and we get that [tex]x=3[/tex], remember though [tex]y=2x[/tex], plug in the value that [tex]x=3[/tex] and get that [tex]y=6[/tex]

_______________________

[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]

[tex]x=3[/tex] [tex]y=6[/tex] Have a good day :) !

The function f is defined below.
f(x)=−2x−3
Find f(1).

Answers

Answer:

[tex]f(1)=-5[/tex]

Step-by-step explanation:

[tex]f(1)=-2(1)-3\\\\f(1)=-2-3\\\\f(1)=-5[/tex]

f(1) means to substitute x with 1 or that x=1. So since x=1  you will substitute it in where x is and then solve like a regular equation which will give you -5.

Kay is running a 13.5 km race. If she runs at a rate of 8 2/5 km/he for 1.5 hours, how many kilometers will she have left to run to finish the race?

Answers

The number of kilometers she will have left to run to finish the race is 0.9 km.

Given the following data:

Total distance = 13.5 kmSpeed = [tex]8\frac{2}{5} \;km/hr[/tex]Time = 1.5 hours

To determine the number of kilometers she will have left to run to finish the race:

First of all, we would calculate the distance she has covered by using this formula;

[tex]Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}[/tex]

Distance = 12.6 meters.

For the distance left:

[tex]Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6[/tex]

Distance left = 0.9 km.

Learn more about distance here: https://brainly.com/question/10545161

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