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2 years ago

HELP ASAP 35 POINTS

Mathematics

1 answer:

IgorLugansk [536]2 years ago

3 0

By finding the distance between each pair of consecutive vertices, we could find that the perimeter is 26.8

<h3>How to find the perimeter of the figure?</h3>

To find the perimeter, we need to find the length of each side of the figure in the image.

And remember that the distance between two points (a, b) and (c, d) is:

√( (a - c)^2 + (b - d)^2 )

So we need to find the distance between each of the vertices of the figure.

The first two are (0, 3) and (4, -1). The distance between these is:

d = √( (0 - 4)^2 + (3 + 1)^2 ) = √25 = 5

The second pair is (4, -5) and (4, -1). The distance between these is:

d = √( (4 - 4)^2 + (-5 + 1)^2 ) = √16 = 4

The third pair is (4, -5) and (-5, 4). The distance between these is:

d = √( (4 + 5)^2 + (-5 - 4)^2 ) = √162 = 12.7

The last pair is (-5, 4) and (0, 3), this time the distance is:

d = √( (-5 - 0)^2 + (4 - 3)^2 ) = √26 = 5.1

The perimeter is the sum of these distances:

5 + 4 + 12.7 + 5.1 = 26.8

By finding the distance between each pair of consecutive vertices, we could find that the perimeter is 26.8

If you want to learn more about perimeters:

brainly.com/question/24571594

#SPJ1

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Answer:

( 1 , -2 , 4 , -8 , 16 , ... )

( 9 , 3 , 1 , 1/3 , 1/9 , ... )

Step-by-step explanation:

A geometric sequence has a common ratio in consecutive terms,

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$1, \frac{1}{2}, \frac{1}{6},\frac{1}{24},\frac{1}{120}.....$

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i.e.

$1, \frac{1}{2}, \frac{1}{6},\frac{1}{24},\frac{1}{120}.....$ is not a Geometric sequence,

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$\frac{-2}{1}\neq \frac{3}{-2}\neq \frac{-4}{3}\neq \frac{5}{-4}...$

i.e. 1 , -2 , 3 , -4 , 5 , ... is not a Geometric sequence,

In sequence,

1 , -2 , 4 , -8 , 16 , ...

$\frac{-2}{1}=\frac{4}{-2}= \frac{-8}{4}= \frac{16}{-8}...$

i.e. 1 , -2 , 4 , -8 , 16 , .... is a Geometric sequence,

In sequence,

0 , 1 , 0 , -1 , 0 , .....

$\frac{1}{0}\neq \frac{0}{1}\neq \frac{-1}{0}\neq \frac{0}{-1}...$

i.e. 0 , 1 , 0 , -1 , 0 , .....is not a Geometric sequence,

In sequence,

9 , 3 , 1 , 1/3 , 1/9 , ...

$\frac{3}{9}=\frac{1}{3}= \frac{1/3}{1}= \frac{1/9}{1/3}...$

i.e. 9 , 3 , 1 , 1/3 , 1/9 , ... is a Geometric sequence,

In sequence,

1 , 3 , 5 , 7 , 9 , ...

$\frac{3}{1}\neq \frac{5}{3}\neq \frac{7}{5}\neq \frac{9}{7}...$

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Answer:

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Step-by-step explanation:

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