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Veseljchak [2.6K]
3 years ago
12

How to you combine like terms

Mathematics
2 answers:
Viktor [21]3 years ago
4 0

Hello!

Let's say we have the expression below.

5+7x-17-5x

To combine like terms, we separate our constants from our variables. As you can see, if we are not given a variable value, you cannot combine 7x and 5. They are not like terms. However, you could combine 7x and -5. Note that combine does not always mean to add. If you combine a negative number, you subtract.

First, let's combine the whole numbers. Note that to find our operation, we use the operation before the second number. In this case, we subtract 17.

5+7x-17-5x

-12+7x-5x

Now we combine the variables.

-12+7x-5x

-12+2x

I hope this helps!

Kruka [31]3 years ago
3 0

Combining like terms is pretty simple. First, you would identify which terms are similar to what terms. For example, you can't combine two terms that aren't similar like 2x and 3y. It would have to be 2x and 3x to combine. Next, be sure to add/multiply/subtract/divide/etc. the terms. For example, if you had the problem 2x + 4x + 3y, you would combine the "x" terms and the resultant problem would be 6x + 3y. Hope this helped :)

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Solve for x. 3x + 5 = 23​
Lunna [17]

[|] Answer [|]

\boxed{X \ = \ 6}

[|] Explanation [|]

3x + 5 = 23

_________

_________

Subtract 5 From Both Sides:

3x + 5 - 5 = 23 - 5

Simplify:

3x = 18

Divide Both Sides By 3:

\frac{3x}{3} \ = \ \frac{18}{3}

Simplify:

X = 6

_________

_________

- Check Your Work -

Substitute 6 For X:

3 * 6 + 5 = 23

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

3 * 6 = 18

18 + 5 = 23

\boxed{[|] \ Eclipsed \ [|]}

8 0
3 years ago
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A cone has radius 9 and height 12. A frustum of this cone has height 4.
Rom4ik [11]

The radii of the frustrum bases is 12

Step-by-step explanation:

In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section

As given in the figure radius and height of the cone are 9 and 12 respectively

Similarly, the height of the frustum is 4

Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)

We can see that ΔABC is similar to ΔADE

Using the similarity theorem

AC/AE=BC/DE

Substituting the values  

12/16=9/DE

∴ DE= 16*9/12= 12

Hence the radii of the frustum is 12  

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3 years ago
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frez [133]
Factor using the difference of squares.

a^2-b^2 = (a+b)(a-b)

100n^2-1
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Final answer: (10n+1)(10n-1)
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Liula [17]
100/5= 20
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7 0
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svetoff [14.1K]

Answer:

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Step-by-step explanation:

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