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____ [38]
3 years ago
12

Find the perimeter and area of each figure.​

Mathematics
1 answer:
Sergio039 [100]3 years ago
4 0

Answer:

  1. A = 2x; P = 4x+2. A = 4; P = 10.

  2. A = y² +2; P = 4y +2. A = 27; P = 22.

Step-by-step explanation:

1. The area is the sum of the marked areas of each of the tiles:

  A = x + x

  A = 2x

__

The perimeter is the sum of the outside edge dimensions of the tiles. Working clockwise from the upper left corner, the sum of exposed edge lengths is ...

  P = 1 + (x-1) + x + 1 + (x+1) + x

  P = 4x +2

__

When x=2, these values become ...

  A = 2·2 = 4 . . . . square units

  P = 4·2+2 = 10 . . . . units

_____

2. Again, the area is the sum of the marked areas:

  A = y² + 1 + 1

  A = y² +2

__

The edge dimension of the square y² tile is presumed to be y, so the perimeter (starting from upper left) is ...

  P = y +(y-2) +1 +2 +(y+1) +y

  P = 4y +2

__

When y=5, these values become ...

  A = 5² +2 = 27 . . . . square units

  P = 4·5 +2 = 22 . . . . units

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$4.88

Step-by-step explanation:

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16-7.37

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8.63-3.75

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Step-by-step explanation:

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You know 4−3i is the complex conjugate of 4+3i. If you multiply the denominator of −2+5i4+3i by 4−3i, what will you get? Enter y
Alona [7]

Answer:

25

Step-by-step explanation:

Given

(-2 + 5i)/(4 + 3i)

Required

Multiply the denominator by 4 - 3i

The denominator of the fraction above is 4 + 3i

When multiplied by 4 - 3i, the result is as follows;.

Result = (4 + 3i)(4 - 3i)

Expand

Result = 4(4 - 3i) + 3i(4 - 3i)

Open both brackets (take it one at a time)

Result = 4 * 4 - 4 * 3i + 3i(4 - 3i)

Result = 16 - 12i + 3i(4 - 3i)

Open the second bracket

Result = 16 - 12i + 12i - 3i * 3i

Result = 16 - 12i + 12i - 9i²

In complex numbers, i = √-1

i² = (√-1)²

i² = √-1 * √-1

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The expression

Result = 16 - 12i + 12i - 9i²

Becomes

Result = 16 - 12i + 12i - 9(-1)

Result = 16 - 12i + 12i + 9

Collect like terms

Result = 16 + 9 + 12i - 12i

Result = 25 + 0

Result = 25

Hence, when the denominator of the fraction is multiplied by 4 - 3i, the result is 25

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3 years ago
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