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Crank
3 years ago
8

Find the perimeter of the rectangle with the following vertices. (−6, −2), (0, −10), (5, 2), (−1, 10) 23 52 46 40

Mathematics
1 answer:
Licemer1 [7]3 years ago
7 0

Answer:

46

Step-by-step explanation:

See attached for reference

<u>The points given:</u>

  • (−6, −2), (0, −10), (5, 2), (−1, 10)

They form a rectangle as seen in the picture.

We can notice that this is a parallelogram, as respective lines have same difference of coordinates.

<u>So calculating only the two of the sides will be sufficient to get its perimeter:</u>

  • a = √(-1+6)² + (10+2)² = √25+144 = √169= 13
  • b = √(0+6)² + (-10+2)² = √36+64 = √100 = 10

<u>So, the perimeter:</u>

  • P = 2(13+10) = 46

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In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the
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Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

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a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

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a1×2 + a1×2³ = 30

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for f = -2

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the sum of the first n terms of a geometric sequence is

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s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

4 0
2 years ago
Ty guys for helping me i need two more pls
Gnoma [55]

Answer:

Step-by-step explanation:

No help me

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