show that
[tex] \frac{2}{3 + \sqrt{7} } = 3 - \sqrt{7} [/tex]
I don't know what to do
please help with the steps.
for brainliest ​

Answers

Answer 1

Answer:

  multiply by (3-√7)/(3 -√7) and simplify

Step-by-step explanation:

When there are radicals or complex numbers in the denominator, you can rewrite the expression so it has a real, rational denominator. You do this by multiplying numerator and denominator by the conjugate of the denominator. That value is the denominator with its sign changed.

This takes advantage of the factoring of the difference of squares.

  (a -b)(a +b) = a² -b²

__

  [tex]\dfrac{2}{3+\sqrt{7}}=\dfrac{2}{3+\sqrt{7}}\times\dfrac{3-\sqrt{7}}{3-\sqrt{7}}=\dfrac{2(3-\sqrt{7})}{3^2-(\sqrt{7})^2}=\dfrac{2}{9-7}\times(3-\sqrt{7})\\\\=\boxed{3-\sqrt{7}}[/tex]


Related Questions

What is the answer to this?

Answers

Answer:

option b.)y=1/4x-7/2.....

what is 25 divided by 4(bonus question)

Answers

Answer:

6.25

Step-by-step explanation:

how do I dilate triangles using scale factors? step by step

Answers

Answer:

so first you

Step-by-step explanation:

find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.

The cashier read the totals: $33.83, $19,40, $43.50, $3.08, $2.40. Circle the number that is wrong and record what it should be explain how you corrected the mistake

Answers

Answer:

74.0 g/mol

Explanation:

Step 1: Write the generic neutralization reaction

HA + NaOH ⇒ NaA + H₂O

Step 2: Calculate the reacting moles of NaOH

At the equivalence point, 33.83 mL of 0.115 M NaOH react.

0.03383 L × 0.115 mol/L = 3.89 × 10⁻³ mol

Step 3: Calculate the moles of HA that completely react with 3.89 × 10⁻³ moles of NaOH

The molar ratio of HA to NaOH is 1:1. The reacting moles of HA is 1/1 × 3.89 × 10⁻³ mol = 3.89 × 10⁻³ mol.

Step 4: Calculate the molar mass of the acid

3.89 × 10⁻³ moles of HA have a mass of 0.288 g.

M = 0.288 g / 3.89 × 10⁻³ mol = 74.0 g/mol

you need to really explain more and not going in person

in a dilation, what is preserved and what is altered?​

Answers

Answer:

Preserve angles

Step-by-step explanation:

i think sorry if its wrong

Answer:

to preserve angles

Step-by-step explanation:

Distance between each pair of points (-6,-4.7) and (-6,4.1)

Answers

Answer:

8.8

Step-by-step explanation:

as X1=X2

we use | Y2-Y1 |

=| 4.1 -(-4.7) |

=| 8.8 |

=8.8

Pleas dose anyone know all the answers to the South and East Asia for endogeneity unit test? :)

Answers

look up the pdf of the test

Given the function f(x) x^2-2x/x^3 +9x^2-10x Find any holes, vertical asymptotes, and horizontal asymptotes there may be.

Answers

Answer:

See below

Step-by-step explanation:

I assume you mean [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex]:

Holes: Since [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex] reduces to [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex], then there is a hole at [tex]x=0[/tex] as [tex]x[/tex] exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).

Vertical Asymptotes: If we further reduce [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex] to [tex]f(x)=\frac{x-2}{(x+10)(x-1)}[/tex], then we see that there are vertical asymptotes at [tex]x=-10[/tex] and [tex]x=1[/tex]

Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator ([tex]2<3[/tex]), then there is a horizontal asymptote at [tex]y=0[/tex]

The graph shows the number of possible passengers for a given number of roller coaster cars that leave the platform. Complete parts a and b.
m = 24 - [?] / [?] - 2 = [?]/1
y = [?]x

Answers

The linear equation is y = 8x and the slope of the graph is 8

A linear equation is in the form:

y = mx + b;

where y, x are variables,  m is the rate of change and b is the initial value of y.

Using the points (2, 16) and (3, 24):

[tex]slope(m)=\frac{24-16}{3-2}=8[/tex]

Hence the linear equation is y = 8x

Find out more on linear equation at: https://brainly.com/question/14323743

1 1/3 x 5/8

A.3/4
B.4/5
C.5/6
D.5/8

Answers

the answer is 5/6, hope this helps
4/3 x 5/8 = 20/24 = 5/6

The answer is C.

a cook starts baking pies at the clock shown below. The first pie is done 25 min later. The 2nd pie is done 30 min later after the first pie which clock shows when the second pie was done

Answers

Answer:

1:45 pm

Step-by-step explanation:

its the hand thats a littke more on the left after 6

pls help me
do maths​

Answers

1) 2 2) 3 3) 3 4) 5 5) 3 6) 11^2 7) 5^4

Anyone know this answer I will give you 28 point.

Answers

Answer:

V to X = 68mi

X to W = 50mi

V to W = will be 68mi too

Step-by-step explanation:

note ; it's a triangle*

antonio baked 150 muffins 46% are blueberry how many blueberry muffins did he bake

Answers

Answer:

69

Step-by-step explanation:

150*(0.46) = 69 blueberry muffins

Which expression is equivalent to 2-5?

A 1/5 x 1/5
B (-5)(-5)
C1/2x1/2x 1/2 x 1/2
D (-2)(-2)(-2)(-2)(-2)

Answers

Answer:

non of them are there any other answers

Step-by-step explanation:

2-5=-3

1/5*1/5=1/25

(-5)(-5)=25

1/2*1/2*1/2*1/2=1/16

(-2)(-2)(-2)(-2)(-2)=-32

F. A marketing company offers to pay $25 to the first 100 people who respond to its advertisement
and complete a questionnaire regarding its client's product. This will produce which type of
sample?
A. simple random sample
C. voluntary response sample
B. convenience sample
D. multistage cluster sample


HELPP ASAP PLZZZZZZZ LIKE RNN plzzzzzzz

Answers

Answer:

Convenience sample

Step-by-step explanation:

Getting paid to respond

B would be correct I think

How i can answer this question

Answers

Answer:

2a + 7

Step-by-step explanation:

2a + 6 + 1 ← collect like terms

= 2a + (6 + 1)

= 2a + 7

Will mark brainliest if you can resolve this problem ( 2 possible answers, NO LINKS OR ANSWERS WITHOUT EXPLANATION)
I can give u the permission of drawing the boxplot by:
- saving the picture or screenshot it ( it's better to screenshot it (Windows+ Logo+Shift+s) )
- drawing the answer on the screenshot Windows
- save the picture (Ctrl+s)
- and finally send it to brainly
(P.s: many people (those who are good at I.T) will argue with the procedure of doing the answer. But many people don't. So I gave the procedure step-by-step to you to show me the working) Thx
Here's the picture:

Answers

Answer:

Hopefully this is what you are looking for.

Step-by-step explanation:

Hope this helps!

10 A seal pup gains 28% of its birth weight each
day for the first 10 days of its life.
A one-day-old pup weighs 17.92 kg.
How much did it weigh at birth?

Answers

Answer:

WEIGHT

550 to 880 pounds

LIFESPAN

25 to 35 years

LENGTH

7.5 to 10 feet

THREATS

Entanglement, harassment, chemical contaminants, oil spills and energy exploration, vessel and vehicle interactions

REGION

New England/Mid-Atlantic

Step-by-step explanation:

Step-by-step explanation:

Hmm so a pup gains 28% weight every day for the next 10 days.. But a day old puppy weight 17.92kg sooo

28%+10every day=10.28

17.92-28%=12.9

17.92x10=179.2

Hmmmm

Well a seal pup weights 8-12kg on birth so ye I was right anweser is 12

The point F( – 4,6) is translated 6 units right. What are the coordinates of the resulting point, F'?

Answers

6units right means there is no change in y-co-ordinatesThe y co-ordinate is constant. nowOnly x co-ordinate will increase by 6

i.e

[tex]\\ \sf{:}\Rrightarrow -4+6=2[/tex]

New co-ordinates:-

[tex]\\ \sf{:}\Rrightarrow F(2,6)[/tex]

Helpp real quick GIVING CROWNN!!

Answers

Answer:

2g+60>92

Step-by-step explanation:

Write the statement "cars are vehicles" as a conditional statement. Then write the converse. Also, write the inverse.

Answers

Cars be CVehicles be V

Cars are vehicles means cars=Vehicles

So

[tex]\\ \sf\longmapsto C=V[/tex]

Converse statement:-

Vehicles are cars

[tex]\\ \sf\longmapsto V=C[/tex]

Fred mixes 3 1/2 cups of flour, 1 1/4 cups of sugar, 2/3 cup of rye flour, and 1/3 cup of wheat flour. Will the ingredients fit into a 6-cup bowl?

Answers

Yes because all of that equals to 5 and 9/12 which is less than 6 cups

A money market account dropped to 5/8 its original value of $7.200. What is its current value?

A. 180
B. 450
C. 1,152
D. 4,500
E. 11,520

Answers

Answer:

Which claim most accurately describes the energy transformation taking place while he practices his guitar?

Sound energy is converted into elastic energy.

Kinetic energy is converted into thermal energy.

Mechanical energy is converted into sound energy.

Electrical energy is converted into mechanical energy.

Step-by-step explanation:

Answer:

C. 4,500

Step-by-step explanation:

Since we have 5/8 of the original 7200, we can multiply and divide.7200*5=3600036000÷8=4500Therefore, the answer is c, 4,500

.pleseee help so important ​

Answers

my answer with solving steps

#CARRYONLEARNING

LOVEUALL

Fifteen cards numbered 1-15 are placed in a hat. What is the probability that the card has a multiple of 3 on it, given that the card picked is an odd
number? Express your answer as a fraction in simplest form.

Answers

1-15 has only 1,3,5,7,9,11,13,15 as odd number therefore a total of 8 odd numbers within 1-15 so that would be 8/15 probability of it being an odd number (I’m not too sure of this sorry)

The probability that the card has a multiple of 3 and an odd number is 20%.

How to find the card has a multiple of 3 on it, given that the card picked is an odd number?

Given:

The number of cards: 15

Multiples of 3 and odd no are 3,9, and 15.

The number of cards Multiples of 3 and odd number = 3

Probability of getting a multiple of 3 cards = 3/15× 100

20%

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Learn more about Probability here: brainly.com/question/251701

#SPJ2

Find the equation of a line that passes through the point (1,4) and has a gradient of -4.
Leave your answer in the form
y
=
m
x
+
c

Answers

Answer:

y= -4x+8

Step-by-step explanation:

y-y1= m(x-x1)

y-4 = (-4)(x-1)

y-4 = -4x+4

y = -4x+4+4

y = -4x+8

40 kg of tomatoes cost $200 how many kilograms of tomato’s can you get with $45

Answers

Answer:

9 kg of tomatoes

Step-by-step explanation:

Cost of 40 kg of tomatoes = $200

Cost of 1 kg of tomatoes = 200/40 = $5

For $45, we get x kg of tomatoes,

kg       $

1          5

x         45

=> 45*1/5 = x kg (by cross multiplication)

=> 45/5 = x kg

We get 9 kg of tomatoes for $45.

Hope you understood!

Answer:

(9 Kg) You can get 9 kilograms of tomato's with 45$

Step-by-step explanation:

SOLVE HYPOTENUSE LEG-HL
-GEOMETRY

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

The required information needed to prove the two triangles congruent by HL congruency criteria is ~

[tex] \sf {VW} \cong BA[/tex]

Graph the solution to this inequality on the number line.
-3x<4.2

-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1
1.5 2
2.5 3

Answers

[tex]\\ \sf\longmapsto -3x<4.2[/tex]

[tex]\\ \sf\longmapsto x<4.2/-3[/tex]

[tex]\\ \sf\longmapsto x<-1.4[/tex]

Graph attached

The solution to the given set of inequality is -

x > - 1.4.

What is the general equation of a Straight line? What is a linear inequality?

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)        {Two point - slope form}

x/a + y/b = 1                                         {intercept form}

x cos(β) + y sin(β) = L                           {Normal form}

A linear equality is of the form -

y ≤ mx + c

y ≥ mx + c

y > mx + c

y < mx + c

We have the given inequality as -

-3x < 4.2

We have the following inequality as -

-3x < 4.2

x > (- 4.2/3)

x > - 1.4

Therefore, the solution to the given set of inequality is -

x > - 1.4.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

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