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stiks02 [169]
3 years ago
9

Below is an Algebraic Proof that shows how the expression x(1+y) + y(2+x) is equivalent to x + 2xy + 2y. Some of the steps are l

abeled with the action or property. Match the following properties in the order they are used in the proof.

Mathematics
1 answer:
harina [27]3 years ago
5 0

Answer:

Step-by-step explanation:

          Steps                                     Property

x(1 + y) + y(2 + x)                           Given

x + xy + 2y + xy                            Distributive property

x + xy + xy + 2y                            Commutative property of addition

                                                     [a + b = b + a]

x + (xy + xy) + 2y                           Associative property of addition

                                                      [(a + b) + c = a + (b + c)]

x + 2xy + 2y                                  Combine like terms

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A rectangle is 2/5 in. long and 1/3 in. wide.what is the area
pashok25 [27]
To find the area of a rectangle, simply multiply the length by the width.

2/5 * 1/3 = 2/15

So, the area is 2/15.
6 0
4 years ago
Compute 0-((5)(-1)+(5)(-2)+(5)(-3)+(5)(-4)).
alexandr1967 [171]

The value of  0-((5)(-1)+(5)(-2)+(5)(-3)+(5)(-4)) is -40

<h3>What are integers?</h3>

An integer  is a whole number (not a fractional number) that can be positive, negative, or zero.

Given:

0-((5)(-1)+(5)(-2)+(5)(-3)+(5)(-4))

= 0+5-10-15-20

=5-25-20

= -40

Hence, value of  0-((5)(-1)+(5)(-2)+(5)(-3)+(5)(-4)) is 40.

Learn more about integers here:

brainly.com/question/1768254

#SPJ1

6 0
2 years ago
Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show your work. a. 5 in, 6 in, 7 in
Ede4ka [16]
These are the formulas that will help you determine which type of triangle they are:

a^2+b^2 < c^2      ----> Obtuse Triangle

a^2+b^2 > c^2      ----> Actue Triangle

a^2+b^2 = c^2      ----> Right Triangle

Okay so now that you know that information, lets get into it :)

a. 5 in, 6 in, 7 in

You're going to take the smallest numbers, 5 and 6, and add them, if it equals a larger number than 7 then its a triangle and you have to determine if its an obtuse, right or acute triangle. In this case it is a triangle because 5 + 6 = 11 aka larger than 7.

The way you'll set this up is:

5^2 + 6^2 = 7^2

solve
25+36=49      ----->     25+36=61

61 > 49 or a^2 + b^2 > c^2

61 > is greater than 49

If you look ate the formulas that are above, this is an acute triangle.

b. 18 in, 9 in, 12 in

In this question, 9 and 12 are the smallest numbers that equal 21 and 21 is larger than 18 so, this is a triangle.

9^2 + 12^2 = 18^2

Solve
81 + 144 = 324      ---->      81 + 144 = 225

225 < 324 or a^2+b^2 < c^2

225 < is less than 324

If you look ate the formulas that are above, this is an obtuse triangle.

Something to just remember:

Sometimes you'll get a question which is like,
4 in, 5 in, 10 in
In this situation, if you add the smallest numbers which are, 4 and 5, you get 9, which is less than the larger number you have, 10. That means it is not a triangle. Just something to be aware about :)

I hope this helped you!






4 0
4 years ago
WILL GIVE BRAINLIEST!!! find the coordinates of the orthocenter of ABC. A(0,0), B(5,0), C(5,3)
evablogger [386]
If you sketch the triangle you will see it is a right triangle with B being the vertex for the right angle. 
the orthocenter is the intercept of the three altitudes. for a right triangle, the orthocenter is the vertex where the right angle is.
so the answer for this question is (5,0)
4 0
3 years ago
The line of best fit for a set of data is y = 19.3232 – 0.7334x. What is the approximate x-value where the y-value is 15.654
Nana76 [90]

Answer:

The answer should be 5.003, you can round if you want to 5

Step-by-step explanation:

8 0
3 years ago
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