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Anna [14]
3 years ago
11

The distributive property says that if​ a, b, and c are numbers or​ variables, then ​a(bplus+​c)equals=abplus+ac and ​a(bminus−​

c)equals=abminus−ac. Use the distributive property to distribute the 4 to the terms inside of the parentheses.
4(x+2)=
Mathematics
1 answer:
iren [92.7K]3 years ago
3 0
Using Distributive property, you can write it as:
4(x+2) = 4x + 8

In short, Your Answer would be 4x + 8

Hope this helps!
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0.206897

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Jim is designing a seesaw for a children’s park
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Do you have a question or is that the problem cause that’s not enough information to solve the problem. :/
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x + y = 4

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An = a1 + (n - 1)d
yarga [219]

Answer:

The car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

Step-by-step explanation:

Given that a car travels 300 meters in the first minute, so

  • a₁ = 300

Each minute after, the car travels 120 meters. , so the sequence becomes

a₁, a₂, a₃, a₄, a₅, ...

300, 420, 540, 660, 780, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

20-300=120,\:\quad \:540-420=120,\:\quad \:660-540=120,\:\quad \:780-660=120

The difference between all the adjacent terms is the same and equal to d=120

now, we have

  • a₁ = 300
  • d = 120

so substituting a₁ = 300 and d = 120 in the nth term of the sequence

a_n=a_1+\left(n-1\right)d

a_n=120\left(n-1\right)+300

a_n=120n+180

Thus, the nth term of the sequence is:

a_n=120n+180

<u>Determining the distance the car travels in 15 minutes</u>

As we have already determined the nth term of the sequence such as

a_n=120n+180

now substituting n = 15

a_{15}=120\left(15\right)+180

a_{15}=1800+180

a_{15}=1980

Therefore, the car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

6 0
3 years ago
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