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r-ruslan [8.4K]
3 years ago
8

Write an expression for the perimeter of the triangle shown below: (4 points)

Mathematics
1 answer:
mario62 [17]3 years ago
7 0

Answer:

The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C

Step-by-step explanation:

<em>The perimeter of a triangle is the sum of the lengths of its sides</em>

Let us solve the problem

∵ The lengths of the sides of a triangle are:

  • 0.5x + 9
  • 3x
  • -3.4x - 25

∵ The perimeter of the triangle = sum of lengths of its sides

∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)

→ Add the like terms

∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)

→ Remember (+)(-) = (-)

∴ The perimeter = (3.5x - 3.4x) + (9 - 25)

∴ The perimeter = 0.1x + -16

∴ The perimeter = 0.1x - 16

The expression of the perimeter of the triangle is 0.1x - 16

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The next two terms in the arithmetic progression will be 15 and 21.

Based on the information given, the following can be deduced.

First term = 3

Second term = 9

Common difference = 9 - 3 = 6

The nth term of an arithmetic progression is given as: = a + (n-1)d

Therefore, 3rd term = a + 2d = 3 + 2(6) = 3 + 12 = 15

4th term = a + 3d = 3 + 3(6) = 3 + 18 = 21

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Step-by-step explanation:

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3 years ago
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Answer:

\Large \boxed{\sf \ \ 6x^2-2x-6 \ \ }

Step-by-step explanation:

Hello, please consider the following.

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