rationalise the denominator√3-√5/√7-√6​

Answers

Answer 1

Answer:

√21 + 3√2 - √35 - √30

Step-by-step explanation:

Given :-

√3 - √5 / √7 - √6

Solving :-

= √3 - √5 (√7 + √6) / √7 - √6 (√7 + √6)

= √21 + √18 - √35 - √30 / 7 - 6

= √21 + 3√2 - √35 - √30

Solution :-

√21 + 3√2 - √35 - √30

Answer 2

Answer:

⇒√21+√18-√35-√30

Step-by-step explanation:

[tex]\frac{\sqrt{3}-\sqrt{5} }{\sqrt{7}-\sqrt{6} } \\\\\frac{\sqrt{3}-\sqrt{5} }{\sqrt{7}-\sqrt{6} }*\frac{{\sqrt{7}+\sqrt{6} }}{{\sqrt{7}+\sqrt{6} }} \\\\\frac{(\sqrt{3}-\sqrt{5})*(\sqrt{7}+\sqrt{6} ) }{(\sqrt{7})^{2}-(\sqrt{6})^{2} } } \\\\\frac{\sqrt{21}+\sqrt{18} -\sqrt{35}-\sqrt{30} }{7-6}\\\\\sqrt{21}+\sqrt{18} -\sqrt{35}-\sqrt{30}[/tex]


Related Questions

A tennis racket and a tennis ball cost $2.10. The tennis racket costs two dollars more than the tennis ball.

How much does the tennis ball cost?

Sn: I think it’s .10 but I wanna double check.

Answers

Answer:

4 dollars

Step-by-step explanation:

Answer:

4.10$

Step-by-step explanation:

Mary has been hired as a receptionist. She is paid a flat rate of $150 each week and earns an additional
$12.50 for every hour that she works. If her goal is to make $575 in one week, how many hours must Mary
work?

Answers

Answer:

34

Step-by-step explanation:

$575-$150= $425

So $425 is how much she needs bc she already gets $150 each week so subtract it from the $575. then do

$425/$12.50=(hours)34) so she needs to work 34 hours this week to get 575$

the triangles are similar pls help me!!!! marking brainliest!!!!!

Answers

Answer:well the 2x-5 equals -10 and they triangle stu is bigger than than triangle jkl so they are the sameS

Which number line shows the solution to the inequality
-3x - 5 < -2?

Answers

Answer:

x

Step-by-step explanation:

-3x-5<-2-3x<-2+5 -3x<3 divide by -3 both sidex<-1 answer.

Carlos was having a home built. The blueprints are shown below. The scale for the blueprints to the actual house is 2 inches to 7 feet.

Part A What is the actual width of the entire building

Part B What is the length of the entire building

Answers


Part A: 28 ft
Explanation: you have to change 8 in to ft using the scale 2 in to 7 ft.

Part B: 84 ft
Explanation: you have to change 24 in to ft using the scale

The actual width of the entire building is 28 feet and the length of the entire building is 84 feet.

Given that, the scale for the blueprints to the actual house is 2 inches to 7 feet.

What is the scale factor?

The scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape. It is used to increase or decrease the size of an object. The scale factor can be calculated if the dimensions of the original figure and the dimensions of the dilated (increased or decreased) figure are known.

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Now, width = 8 inches in feet is 4 × 7 =28 feet

Length = 14+10 =24 inches in feet is 12 × 7 = 84 feet

Therefore, the actual width of the entire building is 28 feet and the length of the entire building is 84 feet.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ2

Find the Area of the trapezoids

Answers

Hey there!

A = ½ (a + b) h,

a =8b = 16h =14

⇒ A = ½(8+16)14

⇒ A = ½(24)14

⇒ A = (12)(14)

⇒ A = 168

Therefore, Area of trapezoid is 168 sq. un

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=14\\ a=16\\ b=8 \end{cases}\implies \begin{array}{llll} A=\cfrac{14(16+8)}{2}\implies A=\cfrac{14(24)}{2} \\\\\\ A=7(24)\implies A=168 \end{array}[/tex]

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

The answer should be (6,-1)

Explanation:

Focus on point A since it's asking for that. Then, shift it down vertically -8.

This means you are shifting A down 8 units.

Then they ask for a reflection across the y-axis. The y-axis is the vertical line in the middle, so to do this transformation, just change the x-value of where A is to the opposite.

Rena is building a 1 : 180 scale model of a real castle. Her model has a rectangular base that is 3 feet wide and 4 feet long.
The width of the actual castle is ___feet.

Pleeeeassseee someone help me with this. I'm really struggling, and I'm in the middle of a test. Not to mention I'm being homeschooled, so that doesn't help at all. Any please if you can help, do it.

Answers

i need points, thanks, goodluck!

Estimate the answer to:​

Answers

Answer:

a.  3.76b.  13,102.974

Step-by-step explanation:

a.  (1.7 + 4.2)²   =     34.81      =  3.76

         2.1³                9.261

b.  (672 - 134)²    = 289,444     =   13,102.94

          4.7²                 22.090

If 14x + 5 = 12, what is the value of x?

Answers

x = 1/2

Step-by-step explanation:

14x + 5 = 12

14x = 12 - 5

14x = 7

x = 7/14

x = 1/2

Hope it helps you!!

Evaluate the following logarithms. log12144 = log151 = log3 ( 1 81 ) = log 0.00001 =

Answers

Answer:

Answer(s): (2,0,-4,-5)

log12 144 =  2

log15 1 = 0

log3 (  1/ 81  )  = -4

log 0.00001 =  -5

The values of the expression are,

1. 2

2. 0

3. -4

4. -5

What is Logarithm?

How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).

For instance, how many times must a base of 10 be multiplied by itself to get 1,000? The answer is 3 (1,000 = 10 × 10 × 10).

Given that;

We have to use the property as;

aᵇ = x then

b = logₐx

So, we get;

log₁₂ 144 = a

12ᵃ = 144

12ᵃ = 12²

On comparing the base

= 2

Now,  second is,

log₁₅ 1 = a

15ᵃ = 1

a = 0

Now, log₃ (1/81)

3ᵃ = 1/81

3ᵃ = 3⁻⁴

a = - 4

And, log 0.00001

= log (10)⁻⁵

= -5 log 10

= -5

Learn more about Logarithm here:

brainly.com/question/30085872

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Five friends ordered pizza for dinner. The pizza cost $30.There was also tax of $5.75. How much would each person pay if they split the total cost equally?

Answers

Answer:

They would each pay $7.15

$30+$5.75=$35.75
$35.75 divided by 5=$7.15

So each person has to pay $7.15

Please help I will give brainliest.

Answers

(2,0) and (-1/2,0) is the correct answer

Answer: B. (2,0) and ([tex]-\frac{1}{2}[/tex], 0)

Step-by-step explanation: Try drawing a graph of it to see where the curve intersects the x-axis, or simplify it to [tex]x^2-3x-2=0[/tex], and solve for the x values.

Answer this, please!
Help!!!

Answers

Answer:

25

Step-by-step explanation:

complementary angles is when their sum = 90 so

30 + 2x + 10 = 90

2x = 90 - 40

2x = 50

X = 25

Answer:

x = 25

Step-by-step explanation:

1. Due to the fact that Angle F and angle G are complementary, 2x + 10 + 30 = 90.

2. Solve this equation: 2x + 10 + 30 = 90

Add 10 and 30

2x + 10 + 30 = 90

2x + 40 = 90

3. Subtract 40 from 90

2x + 40 = 90

2x = 90 - 40

2x = 50

4. Divide 2 from 50

x = 50/2

x = 25

what is the area of y°

Answers

Answer: Below

Step-by-step explanation:

First, we start with x. We see the x is opposite of 30, so x is 30.

x + y + y = 180, since they lay on a straight angle.

180 - 30 = 150

since we still have 2 y's left:

2y = 150

y = 75

Midpoint problem. Given two endpoints P1 (8, -4) and P2 (-3, 9), find the midpoint. Enter just the x-coordinate in this problem.

Answers

Given parameters:

 The coordinates are:

                 P1 (8, -4) and P2 (-3, 9)

Unknown:

The midpoint of the endpoints = ?

Solution:

     x₁  =  8

     y₁  = -4

     x₂  = -3

     y₂  = 9

  midpoints;     x[tex]_{m}[/tex] , y[tex]_{m}[/tex]  = [tex]\frac{x_{1} + x_{2} }{2} ,[/tex] [tex]\frac{y_{1} + y_{2} }{2}[/tex]

                                       = [tex]\frac{8 +(-3)}{2}[/tex] , [tex]\frac{-4 + 9}{2}[/tex]

                                       = [tex]\frac{5}{2}[/tex] , [tex]\frac{5}{2}[/tex]

   The coordinate of the x-axis is [tex]\frac{5}{2}[/tex]

PLEASE HELP!!!
Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form.

Answers

Answer:

y=2x+1

Step-by-step explanation:

The point-slope form is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from ordered pair, and m being the slope. You can plug all of those values into the original equation:

(y-y1)=m(x-x1)

y-3=2(x-1)

y-3=2x-2

y=2x+1

(C) 2a+a²b-2b-ab. send me fast ​

Answers

Answer:

what do you want me to do with that

factor?

Solve the quadratic equation in standard form: f(x)=3x^2-6x-4

Answers

Answer: Rewrite in vertex form and use this form to find the vertex

(

h

,

k

)

.

(

1

,

1

)

Rewrite in vertex form and use this form to find the vertex

(

h

,

k

)

.

(

1

,

1

)

Step-by-step explanation:

c Sections
Help Resources
Find the vertex and focus of the
parabola:
y2 +12y - 4x + 48 = 0
Vertex = ([?], [?])
Focus = ([?], [?])
Enter

Answers

The focus (4,6) and the vertex (3,-6)

Alejandro started the 10-kilometer race at 8:22 am. He finished the race
at 9:09 am. How long did it take him to run the race?

Answers

Answer: 47 minutes

Step-by-step explanation:

First substract 22 from 60 to see how much it took to get till 9 and then add the remaining 9 minutes

Answer:

47 min

Step-by-step explanation:

22 from 8:22 + 47 min = 8:69

69 simplified = 1 hr 9 mins

9:09

pls mark brainliest if I'm correct

Given: a and b are first-quadrant angles, sin a = 5/13 , and cos b = 3/5 , evaluate cos(a + b).

16/65
33/65
56/65

Answers

Step-by-step explanation:

please mark me as brainlest

Please solve this I'll give you 25 points

Answers

Yes because as x increases y increases in a constant manner.
If I were to make a quick guess I think this is the line y=4X

Answer:

its linear (i know  how to draw the graph but i cant show you here, just make umm an x axis and y axis from 1 to 30 ) (also i feel like theres another way to know if its linear but this is how i would do it!)

Step-by-step explanation:

to see if its linear ummm we first have to find the slope, the equation for the slope is

y2 - y1 / x2 - x1

lets use the points (2, 8) and (3, 12)

12 - 8/ 3 -2

4 / 1

4

y = 4x + b

now to find the y-intercept lets input a point we did not use yet

(5, 20)

20 = 4(5) + b

20 = 20 + b

b = 0

y = 4x

now we check if its linear with the points  (6, 24) and (3.5, 14) sooo

24 = 4(6) ?

24 = 24

14 = 4(3.5) ?

14 = 14

so yes it is a linear graph

Suppose you send about 12 text messages a day, and your older sister sends more text messages than you do. Together, you send a total of about 26 messages per day. About how many text messages does she send a day? Write an equation and solve for the unknown value, show your work

Answers

Answer:

she sends 14 texts

Step-by-step explanation:

12 + x = 26

------------------          

-12         -12

 x      =  26 - 12

 x      =  14

please answer fast it will be very helpfull please it is a humble requst A samosa costs Rs 5 and a cold drink costs Rs 10. You take a samosa and cold drink every day for 6 days. The total money spent in 6 days is Rs
6x5+10
6x10+5
10x5+6
6x(5+10)

Answers

The first answer is 40 second 65 third 56 and then fourth 90

Describe the term to term rule in this sequence:
10.8.6.4.2...

Answers

Answer:
The sequence from 10 to 8 is 2 from 8 to 6 is 2 so the term to term in this sequence is addition or multiply of 2

Please help me which shape is it.?

Answers

Answer:

Equilateral

Step-by-step explanation:

It is Equilateral because all sides have the same number of lines(1) telling us that all sides are the same :)

Have a wonderful day!!

Please rate and mark brainliest!!

Explain how to solve the equation. 49= x/7

Part 1
Select the correct choice below and fill in the answer box within your choice.
​(Type a whole​ number.)

A . Subtract _from both sides.

B . Multiply both sides by _

C . Add_ to both sides.

D . Divide both sides by _

Answers

[tex]49 = \frac{x}{7} [/tex]

Multiply both sides of the equation by 7

[tex]49 \times 7 = \frac{x}{ \cancel7} \times \cancel7[/tex]

[tex]343 = x[/tex]

[tex]x = 343[/tex]

[tex]\green{ \rule{300pt}{3pt}}[/tex]

Option B is the correct choice and the number that comes in the blank is 7...~

Every train carriage has four doors. How many doors will the train have if there are 10 carriages?

Answers

Answer:

40 doors.

Step-by-step explanation:

1 train carriage = 4 doors

10 train carriage = 4 x 10 = 40 doors

40 doors
because 4*10= 40

The number of students in each class is shown on the line plot.
Find the median number of students.

Answers

Answer:

Your answer is 24.

Step-by-step explanation:

The data set is 22,23,23,23,24,24,25,26,26,26,28

The median of this set is 24

The mean is 24.54

The mode is 23,26

The range is 6

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