1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
antiseptic1488 [7]
3 years ago
7

Any help? Much appreciated ​

Mathematics
1 answer:
natulia [17]3 years ago
5 0

Answer:

\frac{6+\sqrt{27} }{4-\sqrt{3} } = \frac{r+s\sqrt{3} }{13} \\We\ may\ multiply\ the\ numerator\ and\ denominator\ with\ (4+\sqrt{3} ).\\Hence,\\\frac{(6+\sqrt{27})(4+\sqrt{3})  }{13} =  \frac{r+s\sqrt{3} }{13} \\Hence,\\24+6\sqrt{3} +4\sqrt{27} +9= r+s\sqrt{3}\\24+6\sqrt{3} +4*3\sqrt{3} } +9= r+s\sqrt{3}\\24+6\sqrt{3} +12\sqrt{3}+9 = r+s\sqrt{3}\\33+18\sqrt{3} = r+s\sqrt{3}\\Hence,\\r=33, s=18

You might be interested in
The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in doll
3241004551 [841]
The independent is 25 and the dependent is .6.
5 0
3 years ago
How do you find the point slope form? (given 2 points)
belka [17]

Point-slope form is written as : y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point.

The slope (m) is found by the change in Y over the change in X

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

You can use either given point for x1 and y1 so you would calculate the slope and replace m with the slope, then replace x1 and y1 in the equation with their value.

8 0
3 years ago
Read 2 more answers
What is the product 823 times 43?
vredina [299]
823 × 43 = 35389

anything to ask please pm me
3 0
3 years ago
What is the five non zero multiples of 5
Vinvika [58]
10,15,20,25,30

Is this what you are looking for?
5 0
3 years ago
−3(4x + 3) = 5(2x + 7)
Sedbober [7]

Answer:

=

−

2

Step-by-step explanation: Distribute −

3

(

4

+

3

)

=

5

(

2

+

7

)

−

1

2

−

9

=

5

(

2

+

7

)

3 0
2 years ago
Other questions:
  • Add a sign. <br> 6 5 8 1 2=7,896
    9·2 answers
  • From a point 80 feet in front of a library, the angles of elevation to the base of a flagpole, and to the top of the flag are 22
    6·2 answers
  • Math help please 50 points
    6·2 answers
  • How do u do this.I need major help on it
    6·1 answer
  • An obtuse angle measures 180 degrees.<br> always<br> sometimes<br> never
    12·2 answers
  • What percent of the dollar did Quentin find
    12·1 answer
  • The price, P, of a sweater was discounted by 10% in
    11·1 answer
  • A hat contains four balls. The balls are numbered 2, 4, 4, and 7. One ball is randomly selected and not replaced, and then a sec
    14·1 answer
  • FILL IN THE BLANKS
    6·1 answer
  • Alex got 27 questions out of 30 correct. what present of the questions did he get correct?(use fish method)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!