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3 years ago

Which right prism would have the same volume as a square prism with a base area of 36 m2 and a height of 3 m?

Mathematics

1 answer:

OLEGan [10]3 years ago

7 0

Answer:second option

Step-by-step explanation:

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How do you simplify this? x²y+xy² / y²+2/5 × xy

polet [3.4K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

How do you simplify this?
x²y+xy² / y²+2/5 × xy

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf\frac{ { x }^{ 2 } y+x { y }^{ 2 } }{ { y }^{ 2 } + \frac{ 2 }{ 5 } \times xy } \\$

Factor the expressions that are not already factored.

_____

How to factorise :-

NUMERATOR $\downarrow$

$\sf \: x ^ { 2 } y + x y ^ { 2 }$

Factor out xy.

$\sf \: xy\left(x+y\right)$

DENOMINATOR $\downarrow$

$\sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\$

Factor out 1/5.

$\sf \: {\frac{1}{5}y\left(2x+5y\right)} \\$

_____

Continuing...

$\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)} \\$

Cancel out y in both the numerator and denominator.

$\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)} \\$

Expand the expression.

$\sf\frac{x^{2}+xy}{\frac{2}{5}x+y} \\$

This can further simplified to as $\downarrow$

$= \boxed{\boxed{\bf\frac{5x\left(x +y\right)}{2x+5y}}}$

3 0

3 years ago

If you are solving the equation by factoring, which of the following equations would you use the zero product property on?

Artist 52 [7]

Answer:

(x + 5)(x + 10) = 0

Step-by-step explanation:

When you solve for the equation: $\frac{1}{x-4}-\frac{14}{x+2}+1=0$ , you get that the answer is $x=10,\:x=5$ .

Hope this helped!!

8 0

3 years ago

Carol wants to make a cake. The recipe calls for 8 1/2 cups of flour. A 16-ounce bag contains 2 cups. How many bags of flour mus

Leona [35]

Answer:

please love me

Step-by-step explanation:

please please.

5 0

3 years ago

Read 2 more answers

Can someone please help me with this thank you

GarryVolchara [31]

Answer:

The skeletal system has many functions. Besides giving us our human shape and features, it:

Allows movement: Your skeleton supports your body weight to help you stand and move. Joints, connective tissue and muscles work together to make your body parts mobile.

Produces blood cells: Bones contain bone marrow. Red and white blood cells are produced in the bone marrow.

Protects and supports organs: Your skull shields your brain, your ribs protect your heart and lungs, and your backbone protects your spine.

Stores minerals: Bones hold your body’s supply of minerals like calcium and vitamin D.

3 0

3 years ago

12.) What is the area of the triangle in the coordinate plane?

nirvana33 [79]

Answer:

18u most likely

Step-by-step explanation:

the triangle is 6 units wide and half of it (the height) is 6. so 6 x 6 = 36 divided by 2 = 18u

7 0

3 years ago