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stepladder [879]
2 years ago
11

Simplify using the multiplication rule.

Mathematics
2 answers:
Luden [163]2 years ago
8 0

\sf \bf {\boxed {\mathbb { a. \:2 {y}^{2}  \sqrt{6x}}}}

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

\sqrt{4x {y}^{3} }  \sqrt{6y}

=   \sqrt{4 \times 6 \: x \:  {y}^{(3 + 1)} }

=  \sqrt{( {2})^{2} \times 6 \: x \:  {y}^{4}  }

=  \sqrt{( {2})^{2} \times 6 \:  x \:  { ({y}^{2} })^{2} }

= 2 {y}^{2}  \sqrt{6x}

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}

goldenfox [79]2 years ago
3 0

A. the first one is the answer

Step-by-step explanation:

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Solve the equation. Check for extraneous solutions. <br> 2|7−7x|=2x+4
Vesna [10]

2|7 − 7x| = 2x + 4

|7 - 7x| = x + 2

7 - 7x = x + 2   or   7 - 7x = -(x + 2)

-8x = -5   or   7 - 7x = -x - 2

x = 5/8   or -6x = -9

x = 5/8   or   x = 9/6

x = 5/8   or   x = 3/2

To check for extraneous solutions, we check both solutions in the original equation.

<em>Check solution 5/8:</em>

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 5/8| = 5/8 + 2

|56/8 - 35/8| = 5/8 + 16/8

21/8 = 21/8

<u>Solution x = 5/8 works.</u>

<em>Check solution 3/2:</em>

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 3/2| = 3/2 + 2

|14/2 - 21/2| = 3/2 + 4/2

|-7/2| = 7/2

7/2 = 7/2

<u>Solution 3/2 also works.</u>

Answer: x = 5/8 or x = 3/2

5 0
2 years ago
***BRAINLIEST IF ANSWERED*******
Lisa [10]

Answer:

First find line DE using Pythagoras theorem

That's

DE² = 7² + 24²

DE = √ 49 + 576

DE = 25

The correct trigonometric ratio for triangle DEF is

Cos(E) = 24/25

Hope this helps

8 0
3 years ago
Read 2 more answers
3. In the figure below, E is on AD and C is on BD. The dimensions given are in meters. What is the length, in meters, of CD?
damaskus [11]

Answer:

C. 3,960

Step-by-step explanation:

∆ADB ~ ∆EDC. Therefore,

\frac{AB}{EC} = \frac{DB}{DC}

\frac{2,000}{1,200} = \frac{2,640 + x}{x} (substitution)

Solve for x

\frac{5}{3} = \frac{2,640 + x}{x}

Cross multiply

5*x = 3(2,640 + x)

5x = 7,920 + 3x

5x - 3x = 7,920

2x = 7,920

x = 7,920/2

x = 3,960 meters

7 0
2 years ago
A collection of stamps consists of 3c stamps 5c stamps and 7c stamps. There are 6 more 3c stamps than 5c stamps and two more 7c
Deffense [45]

The number of 3¢ stamps that are in the collection is: 22.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to determine the number of 3 cents (3¢) . Therefore, we would translate the word problem into an algebraic expression and then evaluate it as follows:

<u>Note:</u> 100 cents (¢) is equal to 1 dollar ($).

A collection of stamps consists of 3¢ stamps, 5¢ stamps and 7¢ stamps; 3¢ + 5¢ + 7¢ = 194

6 more 3¢ stamps than 5¢ stamps; 3¢ = 5¢ + 6  ⇒ 5¢ = 3¢ - 6

Two more 7¢ stamps than 3¢ stamps; 7¢ = 3¢ + 2

Combining the above equations, we have:

3¢ + 3¢ - 6 + 3¢ + 2 = 194

9¢ = 198

¢ = 198/9

¢ = 22.

Read more on expressions here: brainly.com/question/17361494

#SPJ1

<u>Complete Question:</u>

A collection of stamps consists of 3¢ stamps 5¢ stamps and 7¢ stamps. There are 6 more 3¢ stamps than 5¢ stamps and two more 7¢ stamps than 3¢ stamps. The total value of the stamps is $1.94. How many 3¢ stamps are in the collection?

6 0
1 year ago
Giving Brainliestttttttt to first answer that’s correct!
Luba_88 [7]

Answer:

I think C sorry if wrong

7 0
3 years ago
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