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monitta
3 years ago
13

Help please!!!! Asap!! math whizzes!!!

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
7 0

Answer:

5xy^3 \sqrt{3x}

Step-by-step explanation:

The radical \sqrt{75x^3y^6} can be simplified by breaking it down into factors and removing the perfect squares from inside the radical.

\sqrt{75x^3y^6} =\sqrt{3*25*x^2*x*y^6} =5xy^3 \sqrt{3x}

25 is a perfect square and is 5 outside the radical.

x^2 is a perfect square and is x outside the radical.

y^6 is a perfect square and is y^3 outside the radical.

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Please help I haven’t been to school in a while and I need help
kakasveta [241]
You're given an angle, the side adjacent to the angle, and are looking for the hypotenuse.

Use cosine = adjacent / hypotenuse.

cos(60) = 2√(3) / x

Rearrange the equation to solve for x (multiply both sides by x, then divide both sides by cos(60)).

x = (2√(3)) / (cos(60))

x equates to about 6.928

5 0
3 years ago
Read 2 more answers
What two numbers multiply to 44 and add up to 12?
djverab [1.8K]
This pattern of question is always coming up. Since we can't easily guess, then let us set up simultaneous equation for the statements.

let the two numbers be x and y.

Multiply to 44.      x*y = 44 ..........(a)

Add up to 12.      x + y = 12 .........(b)

From (b)

y = 12 - x .......(c)

Substitute (c) into (a)

x*y = 44

x*(12 - x) = 44   

12x - x² = 44

-x² + 12x = 44

-x² + 12x - 44 = 0.       

Multiply both sides by -1

-1(-x² + 12x - 44) = -1*0

x² - 12x + 44 = 0.   

This does not look factorizable, so let us just use quadratic formula

comparing to ax² + bx + c = 0, x² - 12x + 44 = 0,  a = 1, b = -12, c = 44 

x = (-b + √(b² - 4ac)) /2a   or (-b - √(b² - 4ac)) /2a


x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)    

x = (12 + √(144 - 176) )/ 2

x = (12 + √-32 )/ 2

√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2

Where i is a complex number.  Note the equation has two values. We shall include the second, that has negative sign before the square root.

x = (12 + √-32 )/ 2      or     (12 - √-32 )/ 2   

x = (12 + 4i√2 )/ 2              (12 - 4i√2 )/ 2 

x = 12/2 + (4i√2)/2                12/2 - (4i√2)/2

x = 6 + 2i√2            or         6 - 2i√2

Recall equation (c):

y = 12 - x, When x = 6 + 2i√2,  y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2

When x = 6 - 2i√2,  y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2


x = 6 + 2i√2,  y = 6 - 2i√2

x = 6 - 2i√2,  y = 6 + 2i√2

Therefore the two numbers that multiply to 44 and add up to 12 are:

6 + 2i√2 and 6 - 2i√2
8 0
3 years ago
Read 2 more answers
Please help me with this
ra1l [238]

Answer:

If you want to solve the inequality for t. The answer is t≥-12

Step-by-step explanation:

6 0
3 years ago
Ethan went to the store and purchased a new DVD player and some movies fro $532. Th cost of the movies was 3 times as much as th
Juliette [100K]
The equation is provided below:

x = cost of DVD player
3x = cost of the movies
$532 = total amount purchased for the DVD player and the movies

$532 = x + 3x
$532 = 4x
$532 / 4 = 4x / 4
$133 = x (cost of the DVD player)

$133 * 3 = $399 (cost of the movies)

To check if the equation is correct:

$532 = $133 + ( 3 * $133)
$532 = $133 + $399
$532 = $532

The correct answer for the cost of the movies will be $399.
3 0
3 years ago
Help please! i don't understand what the questoin is asking me to put
nexus9112 [7]

Answer:

Bx72

Step-by-step explanation:

Hope this helps

6 0
3 years ago
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