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
sleet_krkn [62]
3 years ago
12

HELP PLEASE!! I DONT UNDERSTAND!!!!!!!!!! THANKS SO MUCH

Mathematics
1 answer:
8090 [49]3 years ago
8 0

Hello, please consider the following.

We will multiply the numerator and denominator by

4+\sqrt{6x}

to get rid of the root in the denominator.

First of all, we cannot divide by 0, right? So, we need to make sure that the denominator is different from 0.

4-\sqrt{6x} =0\sqrt{6x}=4\\\\\text{Take the square}\\\\6x=4^2=16\\\\x=\dfrac{16}{6}=\dfrac{8}{3}

We need to take any x real number different from 8/3 then and simplify the expression.

Let's do it!

\begin{aligned}\dfrac{4}{4-\sqrt{6x}}&=\dfrac{4(4+\sqrt{6x})}{(4+\sqrt{6x})(4-\sqrt{6x})}\\\\&=\dfrac{4(4+\sqrt{6x})}{(4^2-\sqrt{6x}^2)}\\\\&=\dfrac{4(4+\sqrt{6x})}{(16-6x)}\\\\&=\dfrac{2(4+\sqrt{6x})}{(8-3x)}\\\\&\large \boxed{=\dfrac{8+2\sqrt{6x}}{8-3x}}\end{aligned}

Thank you

You might be interested in
1. Consider the rational numbers 4/13 and 3/10.
Murljashka [212]

A)4/13 would be the larger number since if you were to try to add them, 4/13 = 40/130 and 3/10 = 39/130, 40/130 > 39/130

B) A rational number between them would be 39.5/130.

5 0
3 years ago
Find area and perimeter of shaded regions below
aleksandrvk [35]

Answer:

Step-by-step explanation:

ABCD is a square.

side = 24 cm

Area of square = side  * side = 24 * 24 = 576 cm²

Semicircle:

d = 24 cm

r = 24/2 = 12 cm

Area of semi circle =πr²

                               = 3.14 * 12 * 12

                               = 452.16 cm²

Area of shaded region = area of square - area of semicircle  + area of semicircle

  = 576  - 452.16 + 452.16

  = 576 cm²

Perimeter:

Circumference of semicircle = 2πr

               = 2 * 3.14 * 12

               = 75.36

Perimeter = 2* circumference of semicircle + 24 + 24

                = 2 * 75.36 + 24 + 24

                = 150.72 + 24 + 24

                 = 198.72 cm

6 0
3 years ago
At noon joyce drove to the lake at 30 mph, but she made the long walk back home at 4 mph. how many hours did she walk if she was
lina2011 [118]
By definition we have the following equation:
 t = d / v
 Where,
 t: time
 d: distance
 v: speed
 For this case we have:
 d / 30 + d / 4 = 17
 Rewriting we have:
 2d + 15d = 17 (60)
 17d = 17 (60)
 d = 60 mi
 Then, the walking time is
 t = d / v
 t = 60/4
 t = 15 hours
 Answer:
 
She walked
 
t = 15 hours
4 0
3 years ago
Find the value of x. Round to the nearest tenth.
gizmo_the_mogwai [7]

Answer: 76.5

Step-by-step explanation:

Interior angles of a triangle = 180 degrees so then you do 180-27 to get 153. Then 153 divided by 2 = 76.5

5 0
3 years ago
Divide 10 by 5, the multiply q by the result
polet [3.4K]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the line symmetry for a parabola whose equation is y=2x^2-4x+1
    14·1 answer
  • A right triangle ABC is shown below:
    13·2 answers
  • A quality control inspector has determined that 0.25% of all parts manufactured by a particular machine are defective. If 50 par
    8·1 answer
  • PLEASE HELP WILL MARK BRAINLIEST Graph y>-1/2x+3
    8·1 answer
  • A rectangular driveway is 8 feet wide and it has an area of 112 square feet. How long is the driveway?
    12·1 answer
  • What is the ratio of the average number of catfish to the average number of all fish in the samples?
    10·1 answer
  • What is the square root of 81
    11·2 answers
  • Free pts! What is your favorite food?​
    14·1 answer
  • Written in standard form -3 x 2 x a + 5 ( - 7b) + ( 12 x c x 4 )
    14·1 answer
  • Manny walks a total of 0.75 mile to and from school each day. If there are 25 days in a month, how many miles has he walked in a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!