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dem82 [27]
3 years ago
8

Why is subtracting an expression similar to distributing a –1? Use the drop-down menus to explain your answer.

Mathematics
1 answer:
anygoal [31]3 years ago
8 0

Answer:

When subtracting expressions, we are applying the distributive property, where a multiple of an expression in brackets is applied to to each term.

e.g.

a(x + y) = ax + ay

In the case of subtracting an expression, we're doing the same thing, but in the example above, "a" would be equal to -1.

(a + b) - (c + d) ≡ (a + b) + -1(c + d)

And so the negative one is distributed across the terms within the brackets.

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Answer: A

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6 0
2 years ago
What is the area of the figure?
Mrrafil [7]

Answer:

The shape has a total area of 14.96cm²

Step-by-step explanation:

To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.

The outer rectangle is 5.6 by 6.4 cm.  To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².

Next the inner rectangle needs to be subtracted.  First though, we need its width, which we're not directly given.

We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle.  All we need to do then is subtract the later from the former to the the inner rectangle's width:

5.6cm - 1.2cm - 0.8cm = 3.6cm

Great!  The inner rectangle has an area of 3.6cm × 5.8cm.  That gives us 20.88cm².

The final step is to subtract that 20.88 square cm from the 35.84 that we already have.  Doing so gives us a result of 14.96cm², and that is the final answer.

5 0
3 years ago
Read 2 more answers
You are searching online for techno music that is neither European nor Dutch. In set notation, which set of music files are you
yuradex [85]
<h2>Answer: </h2><h2>Techno ∩ (European ∩ Dutch)'</h2>

Step-by-step explanation:

According to sets theory ;

Intersection ( ∩ ) - e.g (European ∩ Dutch) represents both European and    

                                     Dutch , while (European ∩ Dutch)' represents neither

                                     European nor Dutch .

Union ( ∪ ) - e.g (European ∪ Dutch) represents either  European or Dutch .

So , Techno ∩ (European ∩ Dutch)' represents  set notation of techno musics that is neither European nor Dutch .

                                     

3 0
3 years ago
What’s the 4 terms of the sequence defined by the rule f(n)=n+10
wariber [46]

Answer:

<h3>             f(4) = 14</h3>

Step-by-step explanation:

f(n) = n + 10

f(4) = 4 + 10 = 14

6 0
3 years ago
Please help me with this, i dont understand, nor do i know the answer
Gemiola [76]

Answer:

You will find the answer easily after doing the steps below.

Step-by-step explanation:

If you have graph paper, this is really easy to do. All you need to do is draw a graph. Then you will number the squares. Next, find the points (-2, 7) and (6, -9). Draw a line connecting the two points you have created.

5 0
3 years ago
Read 2 more answers
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