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
Marina CMI [18]
3 years ago
12

Show all steps question is in the photo.

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
5 0

\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}

\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}

\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}

\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)

\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}

belka [17]3 years ago
3 0

Answer:

{ \rm{ \sqrt{108 {x}^{2}  {y}^{3} } -  \sqrt{12 {x}^{2} {y}^{3}  }  + x \sqrt{75 {y}^{3} }  }} \\  \\  = { \rm{\sqrt{(36 \times 3) {x}^{2}  {y}^{3} } -  \sqrt{(4 \times 3) {x}^{2} {y}^{3}  }  + x \sqrt{(3 \times 25)}   {y}^{3} }} \\  \\  = { \rm{ \sqrt{ {x}^{2}  {y}^{3} } ( \sqrt{36 \times 3}  -  \sqrt{4 \times 3}  +  \sqrt{3 \times 25} }}) \\  \\ { =  \rm{x {y}^{ \frac{3}{2} } (6 \sqrt{3} - 2 \sqrt{3}  + 5 \sqrt{3} ) }} \\  \\  = { \rm{x {y}^{ \frac{3}{2} }  \{(6 - 2 + 5) \sqrt{3} \} }} \\  \\  = { \rm{x {y}^{ \frac{3}{2} }  \times 9 \sqrt{3} }} \\  \\  = { \boxed{ \rm{9x \sqrt{3 {y}^{3} } }}}

You might be interested in
The sale tax in a certain state is 5 1/2%. What would be the tax on an item that costs $535.00
nexus9112 [7]

Answer:

$29.43

Step-by-step explanation:

5 1/2 % or 5.5% is 0.055 as a decimal.  Multiply 535 by 0.055 to find what 5.5% of 535 is...

0.055(535) = 29.425

Since we're working with dollars, round to the nearest hundredth, which is

$29.43

7 0
4 years ago
Subtract (4+2i) from (6-8i). Enter your answer as a complex number in the<br> form a+bi.
sergiy2304 [10]
(6-8i)
(4+2i) side note : -8i - 2i becomes 8i+2i 2+10i because the negatives cancel out
^^^answer
3 0
3 years ago
At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. After the cups are fi
timofeeve [1]
In this question, every cups will be filled with 4 ounces yogurt. That mean, the lowest possible of the cups weight would be 4 ounces. After that the customer can the topping without exceeding 6 ounces of total weight. Since it total weight, that means from the 6 ounces there should be 4 ounces of yogurt. Then the maximum weight is 6 ounces
Minimum weight is 4 ounces and maximum weight is 6 ounces, so the answer would be 4,5,6 or any number between 4-6
7 0
4 years ago
Read 2 more answers
1. Which of the following expressions is not equal to 0.00055?
Nataly_w [17]
For number 1, I think its C because that makes the number 55000 
7 0
4 years ago
Read 2 more answers
In the year 2009, the cost of a flat screen television can be
Ann [662]

<u>Corrected Question</u>

In the year 2009, the cost of a flat screen television can be  modeled by the equation C = -10t^2 + 500 where t is the  number of years since 2009. Factor this cost polynomial.

Answer:

C=10(50-t^2)

Using express exponents, you write C=10(50-t^2)

Step-by-step explanation:

To factor the cost polynomial, C=-10t^2+500, we follow these steps.

Step 1: Determine the greatest common divisor of the terms in the polynomial

The terms in the polynomial are -10t^2$ and 500

The greatest common divisor of -10t^2$ and 500 is 10.

Step 2: Factor the polynomial by dividing each of the terms with the greatest common divisor obtained above.

C=10\left(\dfrac{-10t^2}{10} +\dfrac{500}{10}\right)\\C=10(-t^2+50)\\$We can rewrite this as \\C=10(50-t^2)

6 0
3 years ago
Other questions:
  • A. 3 <br> B. 5 <br> C. 6 <br> D. 10
    6·1 answer
  • a recipe recalls for Papaya juice and carrot juice. the equation represents the proportional relationship between the number of
    5·1 answer
  • 5. The hot summer fair is coming to town! Admission to the fair costs $12.99 and each ride costs s1.75. You have $35 to spend at
    6·1 answer
  • I don't know the answer. to this
    10·2 answers
  • Please help.....no one would help me so PLZZZZ
    12·1 answer
  • 10,000 is compounded quarterly at 12% interest for t years, what expression represents the amount of money after t years
    12·1 answer
  • Answer CORRECTLY !!!!! Will mark brainliest !!!!!!!
    5·2 answers
  • PLEASE ANSWER!!!!! THANK YOU!!!
    9·1 answer
  • What is the quotient of (x^3 + 3x^2 - 4x - 12) / (x^2 + 5x + 6)?
    6·2 answers
  • Need help with this equation, thanks
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!