anonymous
  • anonymous
Simplify (-2 x - 9)(-4)can someone help me...No straight answers please...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
You just have to distribute the multiplication to each term \[(a + b)(c) = ac + bc\]
anonymous
  • anonymous
Okay....
anonymous
  • anonymous
why adding?

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anonymous
  • anonymous
Why not?
anonymous
  • anonymous
isnt it multiplying? (-2*-9)
anonymous
  • anonymous
So in your case you have (-2x -9)(-4) which is the same as (-2x + (-9))(-4)
anonymous
  • anonymous
Oh, is that x for multiplication? or is it an x.
anonymous
  • anonymous
i think its multiplying... idk
anonymous
  • anonymous
i think it is just an x
anonymous
  • anonymous
ohh ok
anonymous
  • anonymous
So did that make sense with what you need to do Artist, or do you need a bit more help?
anonymous
  • anonymous
I'm not sure....
anonymous
  • anonymous
Ok lets try this. When you multiply a sum (a + b + c+ ...) by a number k. You simply multiply each of the terms in the sum by that same number k.
anonymous
  • anonymous
So in your case, what is the sum you're multiplying ?
anonymous
  • anonymous
(-2 x - 9)(-4)
anonymous
  • anonymous
Not quite. (-2x - 9) is a sum.
anonymous
  • anonymous
Specifically it is the sum of -2x and -9
anonymous
  • anonymous
Okay
anonymous
  • anonymous
You know what a sum is right?
anonymous
  • anonymous
Yes...
anonymous
  • anonymous
Tell me =)
anonymous
  • anonymous
One of the most important things to learn in math is the vocabulary. Otherwise it is very difficult to understand what we are talking about if we aren't using the same words for things.
anonymous
  • anonymous
Okay.
anonymous
  • anonymous
What is a sum?
anonymous
  • anonymous
A sum is the answer of two numbers added together...
anonymous
  • anonymous
Close. Actually a sum is a sequence of terms added together. 2 is not a sum. 2 + 3 is a sum. 2*5 is not a sum. 2+3 + 2*5 is a sum.
anonymous
  • anonymous
Oh...Okay.
anonymous
  • anonymous
Now then. For each of the sums I listed above, count the number of terms in each sum.
anonymous
  • anonymous
2, then 4?
anonymous
  • anonymous
Close. But notice that the 2 is not being added to the 5, it's multiplied. The terms of a sum are _ONLY_ the things being added together.
anonymous
  • anonymous
So how many terms does that last sum have?
anonymous
  • anonymous
*Lightbulb*...Okay...
anonymous
  • anonymous
3?
anonymous
  • anonymous
I am glad I fanned you btw. You've been the best student I've seen here in a long time.
anonymous
  • anonymous
Yes, it has 3.
anonymous
  • anonymous
Really?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
I'm the best?
anonymous
  • anonymous
So far ;)
anonymous
  • anonymous
Cool...
anonymous
  • anonymous
Ok so now. Going back to what I was saying before.. If you have a number k multiplied by a sum. You simply distribute the multiplication of k to each term in the sum.
anonymous
  • anonymous
okay...
anonymous
  • anonymous
So lets look at your problem again.
anonymous
  • anonymous
(-2x - 9)(-4) What is the sum, and what is k?
anonymous
  • anonymous
the sum is (-2x-9)?
anonymous
  • anonymous
Yes!. But I get confused easily, so can you rewrite that as an equivalent sum (equals the same thing) so that it is explicitly two terms being _ADDED_ together?
anonymous
  • anonymous
Can you rewrite subtraction as adding a negative?
anonymous
  • anonymous
no...?
anonymous
  • anonymous
2-9 = 2+(-9) -7 = -7 Right?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
So do the same thing to the subtraction you have in your sum
anonymous
  • anonymous
I like my sums to only have addition.
anonymous
  • anonymous
feels neater ;p
anonymous
  • anonymous
Yeah...
anonymous
  • anonymous
so, -2x + (- 9,) ?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
So now you have this sum (-2x + -9) and you're multiplying it by (-4). So to do that you just multiply each term in the sum by the -4. (a + b)(c) = a*c + b*c
anonymous
  • anonymous
So what do you get?
anonymous
  • anonymous
-4*-2+ -4*-9?
anonymous
  • anonymous
Close. Don't forget your x.
anonymous
  • anonymous
8x + 36
anonymous
  • anonymous
like that?
anonymous
  • anonymous
Yes, exactly.
anonymous
  • anonymous
:)
anonymous
  • anonymous
Nice work!
anonymous
  • anonymous
Thank you!

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