4:n=6:9 how do you get it?

Mathematics

1 answer:

MAVERICK [17]4 years ago

7 0

Answer:

3.1

Step-by-step explanation:

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Which of the following expression is equivalent to (x+y)^2 ? There more than one correct answer.

Sedbober [7]

Answer:

B, C, E

Step-by-step explanation:

$Option A,\\x^2 + y^2$

If we were to consider expanding the expression ( x + y )^2, take a look at the procedure below;

$( x + y )^2 =\\( x + y )( x + y ) =\\x^2 + xy + yx + y^2 =\\\\x^2 + 2xy + y^2 \neq x^2 + y^2$

Thus, the first option is incorrect

$Option B,\\( y + x )^2 =\\( y + x )( y + x ) =\\y^2 + yx + xy + x^2 =\\\\x^2 + 2xy + y^2$

x^2 + 2xy + y^2 is similar to the result of the expansion of ( x + y )^2, so the second option is correct

$Option C,\\x( x + y ) + y ( x + y ) =\\( x + y )( x + y ) =\\\\( x + y )^2$

Grouping like terms, x( x + y ) + y( x + y ) = ( x + y )^2, and thus the third option is correct

$Option D,\\( x - y )^2 =\\( x - y )( x - y ) =\\x^2 - xy - yx + y^2 =\\\\x^2 - 2xy + y^2 \neq x^2 + 2xy + y^2$

As noted before, x^2 - 2xy + y^2 is not x^2 + 2xy + y^2, so the fourth option is incorrect

$Option E,\\( x + y )^2 = ( x + y )( x + y )$

And thus, Option E is correct!

8 0

3 years ago

(please zoom / zoom out if needed to see question. (: )

lisov135 [29]

You essentially have four triangles. The area of a triangle is: A=bh/2 (b=base length and h=height)

So the area is simply the sum of the four triangle areas...

A=(3*2)/2+(3*2)/2+(7*2)/2+(7*2)/2

A=20 ft^2

7 0

3 years ago

Read 2 more answers

T rectangular prism has a length of 2 1/2 feet, a width of 3 feet, and a height of

wlad13 [49]

Answer:

Volume of the rectangular prism is $11\frac{1}{4}$ cubic feet.

The number of small cubes required is 90.

Step-by-step explanation:

The rectangular prism has a length of $2\frac{1}{2}$ feet, a width of 3 feet, and a height of $1\frac{1}{2}$ feet.

Now, the volume of the rectangular prism will be $(2\frac{1}{2} \times 3 \times 1\frac{1}{2}) = (\frac{5}{2} \times 3 \times \frac{3}{2}) = \frac{45}{4}$ cubic feet i.e. $11\frac{1}{4}$ cubic feet. (Answer)