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Minchanka [31]
3 years ago
15

If x ¤ y = (x + y)² - (x - y)² Then √5 ¤ √5 =

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0
x\ \diamond\ y=(x+y)^2-(x-y)^2=x^2+2xy+y^2-(x^2-2xy+y^2)\\\\=x^2+2xy+y^2-x^2+2xy-y^2=4xy\\\\\sqrt5\ \diamond\ \sqrt5=4\cdot\sqrt5\cdot\sqrt5=4\cdot5=20
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Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
Nadya [2.5K]

Answer:

The inches in height will be 18 inches.

Step-by-step explanation:

Okay so we know that the original width is 4 inches and she enlarged that to 12 inches

So what we first have to do is find out how much did the photograph "grow" per se. To find this we have to divide 12 by 4. 12 divided by 4 = 3.

So, the width of the photograph grew "times 3" inches

Now whatever you do to the width you have to do to the height. In this case, what is "3 times" 6 (which is the height). 3 times 6 = 18 inches

So in simpler words 12 divided 4 = 3 x 6 = 18 inches

The inches in height will be 18 inches.

Jill has a square with a width of 12 inches, and a height of 18 inches.

Have a wonderful day!

5 0
3 years ago
(-5a+6)(-4a+3) <br><br> Cannot be a fraction
torisob [31]

Hey there!

To solve this problem, we will take a look at the FOIL Method.

<h3>What is "FOIL"?</h3>

FOIL is a simple acronym that can be used to multiply binomials. It stands for:

F - Front

O - Outer

I - Inner

L - Last

See the image below for an example of how to use this in the given situation.

<h3>Apply</h3>

Front: <em>Multiply the two terms out in the front.</em>

(-5a)(-4a) = 20a^2

Outer: <em>Multiply the two terms on the outsides.</em>

(-5a)(3)=-15a

Inner: <em>Multiply the two terms on the insides.</em>

(6)(-4a)=-24a

Last: <em>Multiply the two terms in the back.</em>

(6)(3)=18

<h3>Add</h3>

Now, we add all of our answers from above:

20a^2-15a-24a+18

<h3>Simplify</h3>

Simplify by combining like terms:

20a^2-39a+18

There's our answer!

For a similar problem, see:

brainly.com/question/27980306

5 0
2 years ago
Find the distance between the two points in simplest radical form.<br> (7,2) and (-1, -3)
Paul [167]

Answer:

The answer is

<h2>\sqrt{89}  \:  \:  \:  \: units \\</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x_1 - x_2})^{2} +  ({y_1 - y_2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(7,2) and (-1, -3)

The distance between them is

d =  \sqrt{( {7 + 1})^{2}  +  ({2 + 3})^{2} }  \\  =  \sqrt{ {8}^{2}  +  {5}^{2} }  \\  =  \sqrt{64 + 25}  \\  =  \sqrt{89}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

\sqrt{89}  \:  \:  \:  \: units \\

Hope this helps you

8 0
4 years ago
4/5 + 3/15 - 2/3 = pls i wil give brainlyiest calcaulator dosent work so please and whoether uses calculator i will check and i
Greeley [361]
1/3
12+3-10/15
5/15 reduce the fraction
And you get 1/3
3 0
3 years ago
Read 2 more answers
Simplify: 10√11(4√6+7) HELPPPP
prisoha [69]

Answer:

557.12527151

Step-by-step explanation:

4 0
3 years ago
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