Rationalize the denominator and simplily.​

Rationalize The Denominator And Simplily.

Answers

Answer 1

Answer:

( (√ a+ 1) − 2 ) ^2/a-3

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

(a-b)² = a²-2ab + b²

(a+b)(a-b)=a²-b²

[tex]\frac{\sqrt{a+1} -2}{\sqrt{a+1}+2}= \frac{(\sqrt{a+1}-2)(\sqrt{a+1}-2 )}{(\sqrt{a+1}+2 )(\sqrt{a+1}-2)}\\\\[/tex]

             [tex]=\frac{(\sqrt{a+1}-2 )^{2}}{(\sqrt{a+1} )^{2}-2^{2}}\\\\=\frac{(\sqrt{a+1})^ {2}-2*\sqrt{a+1}*2+2^{2} }{a+1-4}\\\\=\frac{a+1 - 4\sqrt{a+1}+4 }{a-3}\\\\=\frac{a+5-4\sqrt{a+1} }{a-3}[/tex]


Related Questions

You have 67 red marbles and 133 blue marbles. What percent of the marbles are red?

Answers

33.5% of your marbles are red and 66.5% is blue

Answer:

[tex]67 + 133 = 200 \\ \\ \frac{67}{200} \times \frac{100}{1} = 33.5\%[/tex]

What is the range of the following data?
10 20 30 40 50 60 70 80 90 100
50
20
70
60

Answers

the range is 70
explanation: the range is calculated by subtracting the lowest value from the highest value

Plzzz help last test of the year marking brainliest

Answers

Answer:

108

Step-by-step explanation:

What is the degree of the polynomial √11?

Answers

Answer:

0

Step-by-step explanation:

Degree is the Exponent of variable, and since root 11 do not contain any variable, we can write it as

[tex] \sqrt{11} {x}^{0} \\ = \sqrt{11} \times 1 \\ = \sqrt{11} [/tex]

Find the exact value, without a
calculator
711/6
sin
2

tan
12
711/6
COS
2
? ] + [
- √

Answers

Answer:

The answer to calculate this will be:

5

π

6

The required value of tan(7π/12) = √[(2+√3)/(2-√3)].

To find the exact value of tan(7π/12).

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]

tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
                 =  √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]

                  =  √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
                 =  √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]

Here, cos( π/6 ) = √3/2
                  =  √ [ (1 + √3/2 ) / (1 - √3/2 ]
                 =  √ [ (2 + √3)/2  / (2- √3)/2 ]
                 = √ [ (2 + √3) / (2- √3) ]


Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].

Learn more about trigonometry equations here:

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5x raised to 3+4 x raised to 2 - 6​

Answers

Answer:

[tex]125x^3 + 16x^2 -6[/tex]

Step-by-step explanation:

Given :

5x raised to 3 , that is =

                             [tex](5x)^3 = 5^3 \times x^3 = 125 x^3[/tex]

4x raised to 2 , that is =

                             [tex](4x)^2 = 4^2 \times x^2 = 16 x^2[/tex]  

Final step : (5x raised to 3) + ( 4x raised to 2) - 6, that is =

                                                                                [tex](5x)^3 +(4x)^2 - 6 \\\\=125x^3 + 16x^2 -6[/tex]

find the complement of 63°​

Answers

Answer:

63=90-63= 27

Bye

Evaluate y⁵ for y = 1.

● 1
● 5
● 15​

Answers

Answer:

1

Step-by-step explanation:

if y = 1 then [tex]y^{5} = 1 . 1 . 1. 1.1 = 1[/tex]

Answer: 1

Step-by-step explanation:

its just 1 because you just multiplied 1 by1 5 times

a meat pie contains chicken and turkey in the ratio 4:1. The pie contains 200g of Chicken. How much turkey is in the pie?​

Answers

Answer:

50 grams

Step-by-step explanation:

From the above question:

Chicken : Turkey

= 4:1

Sum Proportions = 4 + 1 = 5

We have to find the weight in grams of the entire pie

Let us represent the weight in grams of the entire pie = x.

The pie contains 200g of Chicken.

Hence:

4/5 × x = 200g

4x/5 = 200g

Cross Multiply

4x = 200g × 5

x = 200g × 5/4

x = 250g

The amount turkey that is in the pie is calculated as:

Total weight of pie - Amount of Chicken in the pie

= 250g - 200g

= 50 g

1) Paul is buying stock to add
to his portfolio. The cost of the
stock is $60 per share. The
broker that he's buying from
also charges a processing fee
of $100.

Answers

Is there more to this question?

Wayne is mixing paint. He makes six quarts of brown paint by mixing equal quantities of yellow paint and violet paint. The violet paint is made from one-third red paint and two-thirds blue paint.
1.What percentage of the brown paint is made from red paint? ( Hint: use the ratio table and convert the fraction to percentage) Explain how you figure out

2.Wayne decides to make 12 quarts of brown paint by using the same formula as above. Will the percentage of brown paint that is made from blue paint change or stay the same? Explain your answer. (Hint: proportional table. Will the ratio/percentage of the paint change with the increase in the amount of paint used?)

Answers

Answer:

Step-by-step explanation:

2/6=33.33

Solve the equation f(x)=x^3-x^2-x+1 given that one of its roots is x=1

Answers

Answer:

0

Step-by-step explanation:

F(1) = 1^3-1^2-1+1

F(1)=-1+1

F(1)=0

f(x)=x^3-x^2-x+1

f(1) = 1^3-1^2-1+1

f(1)=-1+1

f(1)=2

What is a function?

A function of an expression, rule, or law that defines the relationship between one variable (independent variable) and another (dependent variable) in mathematics. Functions are ubiquitous in mathematics and are essential for the formulation of physical relationships in the natural sciences.

Functions can be defined as a set of ordered pairs. Example: {(2,4), (3,5), (7, 3)} is a function that says. "2 is associated with 4," "3 is associated with 5," and "7 is associated with 3." Also note that the domain is {2,3,7} (input value). A

function is defined as a relationship between a set of inputs, each with an output. Simply put, a function is a relationship between inputs, where each input is associated with one output. Each function has a domain and a codomain or scope.

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Find the missing angle in this triangle

Answers

180-124-23= 33 because any triangle adds up to 180

Answer:

hope it helps

Step-by-step explanation:

124+23+x=180

x+147=180

x=180-147

x=33

Anyone help with this?

Answers

Answer:

3 degrees

Step-by-step explanation:

They are the same because they are on opposite sides of each other. If u look at the picture, angle a and b are the same size.

2. Which of the following shows the correct area of the figure below rounded to the nearest hundredths place.​

Answers

Answer:

the answer is 190.07 cm2

cant figure this one out! will mark brainliest. also don’t have to show work if you don’t want to, i just need the answer

Answers

Answer:

a = -24

Step-by-step explanation:

a / -3 - 2 = 6

a/-3 = 8

a = -3 * 8

a = -24

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: a= -24

a/-3- 2=6

      +2   +2

a/-3=8

   *3  *3

a= -24

Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the total length of all of the yarn that she ends up cutting, y? Is the graph of the equation continuous or discrete?Which description is represented by a discrete graph?

Answers

Equation: y = 4x + 7.75

The graph is continuous

Step-by-step explanation:

Julie needs to cut 4 pieces of yarn,

Let x  represent the length of each yarn.

4x + 7.75

y represents the total length of all of the yarn that Julie decides to cut.

y = 4x + 7.75

Therefore the required equation that can be used to determine the total length of all of the yarn is:

y = 4x + 7.75

The graph is continuous because the amount of yarn that Julie decides to cut not need to be an integer amount.

hope this help's

5 in
5 in
4 in
6 in
Surface Area =

Answers

Answer:

The Surface area is 148

Step-by-step explanation:

For the front and back each side is 30 since 6x5=30. Therefore total 60

For the left and right it is 5x4=20. Each side 20 therefore total 40

For top and bottom it is 6x4=24. 24x2 =48 so total 48.

In total combined: 40+60+48=148

Miami is building a ramp with a base of 4 feel and a vertical height of 2 feet what is the length of the ramp round to the nearest tenth

Answers

Answer:

2√5

Step-by-step explanation:

By applying Pythagoras (hypotenuse)^2=(Base)^2 +(Height)^2

pls help me solve pls show how you got the answer

Answers

Step-by-step explanation:

the answer is number a 88 CM square

hey, if the volume is 8cm^3, each side will be 2 cm, why? because 8√3 equals 2. or 8=2×2×2.

so each side equals 2.

to calculate the surface area, we need to calculate one square's area and multiples it by the number of the surfaces.

to calculate a square's area: 2×2=4

so each square has the surface of 4cm^2

now we count to see how many squares do we have.

we've got 22 surfaces.

so 22×4=88cm^2

then option C is the answer

my mother tongue isn't English so my apologies if I couldn't explain well

Word Problem:
Adult ticket for a football match costs $18.40 a child's ticket is $3.80 less then the adult's ticket then what will be the cost of a child's ticket ? find the total cost of ticket's of a man has to buy 5 Adult and 3 child ticket.

Answers

81910 is the total answer

Answer:

the answer is 135.8 plzz mark me the brainliest

Please help i'm struggling with this!It's urgent!

Answers

Answer:

Step-by-step explanation:

Dilation


The blueprint of a deck has a scale of 2 centimeters equals 9 feet. The scale drawing is shown below

I have part A I need help with b




Part B
Decking costs $1.75 per square foot. How much will it cost to build the deck?

Answers

Complete question is;

The blueprint of a deck has a scale of 2 centimeters equals 9 feet.

A) What are the actual lengths of the sides of the deck?

B) Decking costs $1.75 per square foot. How much will it cost to build the deck?

Answer:

A) actual lengths are;

27 ft, 36 ft and 45 ft

B) cost of entire deck = $850.5

Step-by-step explanation:

A) From the attached image, we see that the sides of the triangle deck are;

8cm, 10cm and 6 cm

Now, we know that 2cm represents 9 ft.

Thus;

8cm will be; 8 × 9/2 = 36 ft

10 cm will be; 10 × 9/2 = 45 ft

6 cm will be; 6 × 9/2 = 27 ft

Thus, actual lengths are;

27 ft, 36 ft and 45 ft

B) Area of deck is Area of triangle = ½ × base × height.

In this diagram, base = 6 cm = 27ft

Height = 8 cm = 36 ft

Thus;

Area of deck = ½ × 27 × 36

Area of deck = 486 ft²

We are told that the Decking costs $1.75 per ft²

Thus;

Cost of entire deck = 1.75 × 486 = $850.5

If the zeros of a quadratic function are 3 and 8, what are the factors of the function?

A.
(x + 8) and (x − 3)
B.
(x − 8) and (x + 3)
C.
(x + 8) and (x + 3)
D.
(x − 8) and (x − 3)

Answers

the answer is D. this is because in order for the brackets to equal zero, you have to have a negative number inside.

Answer:

D

Step-by-step explanation:

one way to write a quadratic equation is using the y = (x-s) (x-r) where r and s are positive zeros. another way to solve this and think about it would be to plug in your points and equate both sides. example:(3,0) (8,0)0 = (3-8) (3-3)0 = 00 = (8-8) (8-3)0=0

Solve the right triangle round your answer to the nearest tenth

Answers

Answer:

14

Step-by-step explanation:

You add 50 and 26 together to get 76, then you subtract 90 and 76 to get 14


Which number is equivalent to 43/12
A 3.583
B.
3.583
C 3.583
D 3.583

Answers

Answer:

The answer is 3.583, the 3 is repeating

Step-by-step explanation:

Answer:

3.583 ,with 3 as a reapting decimal

how long is it. from 13:49 to 14:22​

Answers

Answer:

33 minutes

Step-by-step explanation:

Answer:

33 minutes

Step-by-step explanation:

To go from 13:49 to 14:00, that is 11 minutes

To go from 14:00 to 14:22 is 22 minutes

22 + 11 = 33

Hope this helps!

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

5n – 300 = 1,500
5n + 300 = 1,500
5n – 200 + 100n = 1,500
5n – 100 – 200n = 1,500

Answers

Answer:

The first one, A

Step-by-step explanation:

DJ costs $300 in total.

For every student there is $5.

We want a profit of 1,500, so the total money earned from students attending subtracted by the costs of the DJ should be 1,500.

5n - 300 = 1,500

For the second one, it'll be the DJ giving you $300.

The last Two answers has an n where it's supposed to be money when n represents each student.

Answer:

it would be A

Step-by-step explanation: MUHAMMADO AVDOLLLLLL

What are the coordinates of V′ for the transformation (T(–3, 1)° D4 )(ΔTUV) of T(–7, –6), U(–8, 3), and V(2, 1)?

Answers

Answer:

(5;1)

Step-by-step explanation:

-3 means shift to the right

HELP I WILL GIVE brainly Est to whoever can answer.

Answers

Answer:

122

Step-by-step explanation:

Have a nice day :)

plz mark brainllest

B- 300° you add the 120 angle plus 180 bc half a circle is 180 and ur finding STR
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