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Lelechka [254]
3 years ago
13

How to use distributive property to remove the parentheses

Mathematics
1 answer:
GrogVix [38]3 years ago
4 0

Answer: Multiply the number(s) outside the parenthesis by the numbers inside the parenthesis. The distributive property is expressed in math terms as the following equation: a(b + c) = ab + ac.

Step-by-step explanation:

2(3 + 4) - 12 Multiply 2 times 3 first.

2 x 3 = 6.

Then multiply 2 times 4.

2 x 4 = 8.

Remember our equation earlier? a(b + c) = ab + ac.

In this case, 2 is a, 3 is b, and 4 is c.

So 2[a](3[b]+4[c]) = 2[a](3)[b] + 2[a](4)[b].

Let's rewrite this in a way that can be read better.

2(3+4) - 12 = 2(3) + 2(4) - 12.

2(3+4) - 12 = 6 + 8 - 12.

2(3+4) - 12 = 14 - 12.

2(3+4) - 12 = 2.

Hope this helped! :)

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-3x is less than or equal to 3, the solution of the inequality is?
Charra [1.4K]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Determine the domain and range of the graph.
nirvana33 [79]

Answer:

Domain [-4,4]

Range [-2,2]

Step-by-step explanation:

The domain is the x-values of the graph and the range in the y-values. When writing domain and range it should be from least to greatest. So to find the domain find the lowest x-value on the graph and then the highest. Next, do the same for y-values. Finally, either surround each value with parentheses or bracket, the difference is that brackets mean that value is included, while parentheses mean that value is not actually on the graph.

In this case, the lowest x-value is -4 and the highest is 4, both values are included as signified by the closed circles, therefore the domain is [-4,4]. The lowest y value is -2 and the highest is 2, both are included, therefore the range is [-2,2].

4 0
3 years ago
A mystery number is multiplied by 11 then 10 is subtracted from it to give you a result of 34. What is the mystery number?
klemol [59]

Answer:

4

Step-by-step explanation:

And let the missing number be x

We can solve using Algebra

11x - 10 = 34

11x = 34 + 10

11x = 44

x = 44/11

x = 4

For verification:

4(11) - 10 = 34

44 - 10 = 34

34 = 34

Hence, Proved

3 0
3 years ago
If triangle ABC is similar to triangle DEC, find the values of x and y.
Mumz [18]

The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal, it is obtained by Pythagoras theorem.

Step-by-step explanation:

The given are,

           From ΔABC,

                    AB= 6

                    BC= 10

                    AC = x

           From ΔDEC,

                    CD= 28

                    DE= 21

                    CE = y

Step:1

        Pythagoras theorem from  ΔABC,

                    BC^{2}=AB^{2} + AC^{2}...............(1)

       Substitute the values,

                   10^{2} = 6^{2} + AC^{2}

                  100 = 36 + AC^{2}

                   AC^{2} = 100 - 36

                           = 64

                    AC = \sqrt{64}

                    AC = 8

                  AC = x = 8

Step:2

        Pythagoras theorem for ΔDEC,

               CE^{2} = CD^{2}  + DE^{2}................(2)

       From the values,

              CE^{2} = 28^{2} + 21^{2}

             CE^{2} = 784 + 441

                     = 1225

              CE = \sqrt{1225}

              CE = 35

             CE = y = 35

Result:

         The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.

5 0
3 years ago
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