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
Anastaziya [24]
3 years ago
14

Combine the following expressions.

Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0

Answer:

second option

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying the radicals

\sqrt{27x^{3} }

= \sqrt{9(3)x^2.x}

= \sqrt{9} × \sqrt{3} × \sqrt{x^2} × \sqrt{x}

= 3 × \sqrt{3} × x × \sqrt{x}

= 3x\sqrt{3x}

-------------------------------

\sqrt{12x^{3} }

= \sqrt{4(3)x^2.x}

= \sqrt{4} × \sqrt{3} × \sqrt{x^2} × \sqrt{x}

= 2 × \sqrt{3} × x × \sqrt{x}

= 2x\sqrt{3x}

---------------------------------------

Thus

3 × 3x\sqrt{3x} - 2 × 2x\sqrt{3x}

= 9x\sqrt{3x} - 4x\sqrt{3x}

= 5x\sqrt{3x}

You might be interested in
Is it possible to form a triangle with sides that each measure 3? what about 3,3 and 9?<br><br>​
TiliK225 [7]

Answer:

No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: No; 9. ... No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

6 0
2 years ago
Read 2 more answers
Your brother is 13 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equ
Bogdan [553]
The brother is 4 years old
6 0
3 years ago
what is the type of conic section is given by the equation x^2-9y^2=900 an waht is the domain and range?
Talja [164]
When the squared terms are of different signs, the equation generally describes a hyperbola. This one has its vertices at x=±30, so the parameters of interest are
  domain: (-∞, -30] ∪ [30, ∞)
  range: (-∞, ∞)

8 0
3 years ago
Please please help me with this please
ziro4ka [17]

Answer:

y + 20 = 9(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the lie

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 20) and (x₂, y₂ ) = (9, 79)

m = \frac{79+20}{9+2} = \frac{99}{11} = 9

Using (a, b) = (- 2, - 20), then

y - (- 20) = 9(x - (- 2)), that is

y + 20 = 9(x + 2)

4 0
3 years ago
Jose needs to memorize words on a vocabulary list for French class. He has memorized 20 of the words, which is four-fifths of th
Stella [2.4K]

Answer:

25

Explanation:

In order to solve this the easiest way you can use equivalent fractions.

\frac{4}{5} = \frac{20}{?}\\

Since 4 times 5 equals 20 we can multiply 5 times 5 to get our answer.

\frac{4}{5} * \frac{5}{5} = \frac{20}{25}

25 is the answer. But, if we couldn't have gotten to 20 through the multiplication we could use a proportion. That would look like the initial problem but instead of a "?" we would use a variable. I will use <em>t</em> for total.

\frac{4}{5} = \frac{20}{t}\\

So now we have our problem set up. The next step is to cross multiply. 4 by <em>t</em> and 5 by 20.

4t = 5 * 20\\4t = 100\\

And now we can solve it like a normal algebra problem.

\frac{4}{4}t = \frac{100}{4}\\t = 25

Either way, we get 25.

5 0
3 years ago
Other questions:
  • -4p=-14 what is p? nowwwwwwwwwwwwwww
    9·1 answer
  • What is the area of the shaded region?<br>please help guys ​
    12·1 answer
  • PLS HELP ME 6, 7, and 8 (SHOW WORK!!) + LOTS OF POINTS + THANKS! + BRAINLIEST IF POSSIBLE!
    5·2 answers
  • The cost y in dollars of car rental is related to the number to the number of miles driven x and is approximated by the linear e
    14·1 answer
  • Is 7.7777777777 an irrational number
    5·2 answers
  • On Monday, the Dairy Barn sold 14 waffle cones for every 6 sugar cones. On Tuesday, the Dairy Barn sold 7 waffle cones for every
    5·2 answers
  • Pls help me figure it out! (6th grade math)​
    12·1 answer
  • Aariauna is setting up a play space for her new puppy. She will be building a rectangular fence around part of her yard that mea
    10·1 answer
  • six cocker spaniels have a total weight of 192 pounds. Five golden retreivers have a average weight of 71 pounds. what is the av
    8·1 answer
  • If g (x)=4x+7 and h (x)=x-6, find g (h(x))
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!