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Gnoma [55]
3 years ago
15

Can anyone help me solve this

Mathematics
2 answers:
iren [92.7K]3 years ago
8 0

\longrightarrow{\green{ D. \:3 {a}^{4}  \sqrt{2a}   }} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

\sqrt{18 {a}^{9} }  \\  \\   ➝ \:   \sqrt{2 \times 3 \times 3 \times  {a}^{9} }  \\  \\ ➝ \:  \sqrt{2 \times  ({3})^{2} \times  {( {a}^{4}) }^{2} a }  \\  \\ [∵( { {a}^{4} )}^{2} a =   {a}^{4 \times 2 + 1}  =  {a}^{9}] \\  \\  ➝ \: 3 \times  {a}^{4}  \sqrt{2a}  \\  \\ ➝ \: 3 {a}^{4}  \sqrt{2a}

\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}

GREYUIT [131]3 years ago
8 0

Answer:

The answer is 3a^{4}\sqrt{2a}

Step-by-step explanation:

To simplify the radical, start by factoring 9 out of 18 for step 1. Next, for step 2, rewrite 9 as 3^{2}. Then, factor out a^{8} for step 3. For step 4, rewrite a^{8} as (a^{4})^{2}. Then, for step 5, move the 2 in the radical. Rewrite 3^{2}(a^{4})^{2}as (3a^{4})^{2} for step 6. Then, add parentheses to the radical for step 7. Finally, for step 8 pull the terms out from under the radical, and the answer is 3a^{4}\sqrt{2a}.  

Step 1: \sqrt{9(2)a^{9} }

Step 2: \sqrt{3^{2}*2a^{9}

Step 3:  \sqrt{3^{2}*2(a^{8}a) }

Step 4: \sqrt{3^{2}*2((a^{4})^{2})   }

Step 5: \sqrt{3^{2}(a^{4})^{2}*2a   }

Step 6: \sqrt{(3a^{4} )^{2}*2a }

Step 7:  \sqrt{(3a^{4})^{2}*(2a)  }

Step 8: 3a^{4}\sqrt{2a}

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Would love some help on this! Please include step by step Have a good day!
Effectus [21]

- 24 - 16x(  - 1) \\ 6 { }^{2}  \div 9

negative 24 minus 16x (-1) divided by 6^2 divided by 9

ANSWER

four divided by 81 and than X minus 24

4 \div 81x - 24
5 0
3 years ago
The Stock Market nadia is a stockbroker. Earns 14​% commission each week. Last​ week, sold ​7200$ worth of stocks. How much did
elena-s [515]

Answer:

Step-by-step explanation:

C=0.14×7,200=1008

Nadia made a total of $1008 last week in commission sales

b). To express the total amount she made in 2011, we derive the formula below;

Total amount (2011)=Average weekly commission× number of weeks in 2011

where;

Average weekly commission=$1008

number of weeks in 2011=52

replacing;

Total amount (2011)=(1008×52)=52,416

The total amount Nadia in commission in 2011=$52,416

4 0
3 years ago
Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.
Oduvanchick [21]

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2)     radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0

3 0
3 years ago
True or false? Based only on the given information, it is guaranteed that AB CD.
Vladimir [108]

Answer:

Option B is correct that is false.

Step-by-step explanation:

We have been given a figure we need to tell that the two lines are perpendicular

Lines are perpendicular  if they meet at right angle.

Line {\overline{CD}} is perpendicular to {\overline{AB}} vice-versa is not true.

Hence, Option B is correct

6 0
4 years ago
Read 2 more answers
Linda, Aldo, and bob have a total of 70 in their wallets. Bob has 3 times what Linda has. Linda has 5 more than Aldo. How much d
yanalaym [24]
L, A, B = the amount of money each person has.
L + A + B = 70
B = 3L
L = A +5 or A = L-5 
Set up an equation in L only:
L + L - 5 +3L =70
5L -5 = 70
5L =75
L = 15
follows
B=3*15 =45
A = 15 - 5 = 10
7 0
3 years ago
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