crazyman2545444
contestada

a graphic designer wants to know the number of regions that are formed when circles overlap in particular. can she find a rule that describes how the number of regions increases when another circle is added to the design? how many regions would a design with 6 circles create?

a graphic designer wants to know the number of regions that are formed when circles overlap in particular can she find a rule that describes how the number of r class=

Respuesta :

clovercov

Answer:

A. 2

Step-by-step explanation:

Its successive multiples and it increases:

+2, +4, +6, +8

it increases by 2 every time which is successive multiples so the answer is A, 2.

Identifying the pattern, it is found that the correct option is:

A. As the number of circles increases, the number of regions increases by successive multiples of 2 each time.

  • With 6 circles, there are going to be 31 regions.

------------------------

  • With 1 circle, there is 1 region.
  • With 2 circles, there are 3 regions. Thus, it increased by 2.
  • With 3 circles, there are 7 regions. The increase was of 7 - 3 = 4.
  • With 4 circles, there are 13 regions. The increase was of 13 - 7 = 6.
  • With 5 circles, there are 21 regions. The increase was of 21 - 13 = 8.

(2,4,6,8) are consecutive multiples of 2, thus, the correct option is:

A. As the number of circles increases, the number of regions increases by successive multiples of 2 each time.

------------------------

  • The next multiple of 2 is 10.
  • Thus, with 6 circles, there will be 21 + 10 = 31 regions.

A similar problem is given at https://brainly.com/question/23061765

Otras preguntas