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bogdanovich [222]
3 years ago
5

Prove that P(2,3), (3, 4), R(5, 6) and S(4,5) are thevertices of a rhombus​

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

<u>Solu</u><u>tion</u><u> </u><u>:</u><u>-</u>

Given coordinates to us are ,

  • P(2,3) .
  • Q(3,4).
  • R(5,6)
  • S(4,5)

Here it is asked to Prove that these are vertices of Rhombus . So we know that all sides of a Rhombus are equal .So if we show that value of all sides lenght are equal , then it will be a Rhombus .

We will use Distance Formula .

Now , here ,

<u>Dista</u><u>nce</u><u> </u><u>betwe</u><u>en</u><u> </u><u>P</u><u> </u><u>and</u><u> </u><u>Q</u><u> </u><u>:</u>

⇒ x = √ (2 - 3)² + (3-4)² .

⇒ x = √ (-1)² + (-1)² .

⇒ x = √ 1 + 1 .

⇒ x = √2 .

<u>Dista</u><u>nce</u><u> </u><u>betwee</u><u>n</u><u> </u><u>Q</u><u> </u><u>and</u><u> </u><u>S</u><u> </u><u>:</u>

⇒ x =√ [ (3-4)² + (5-4)².

⇒x = √ 1² + 1² .

⇒ x = √ 1 + 1 .

⇒ x = √2 .

Similarly we can prove other distances equal.

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x=-2,y=4

Step-by-step explanation:

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Kim rode her biyciclye 135 miles in 9 weeks. Eric rode her biciclye 102 miles in 6 weeks riding the sam edistance each week what
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Answer:

A.) Eric rode 2 more miles per week than Kim rode

Step-by-step explanation:

A.) Eric rode 2 more miles per week than Kim rode

B.)Kim rode 3 more miles per week than Erick rode

C.) Kim rode 11 more miles per week than Erick rode

D.) Eric rode 17 more miles per week than Kim rode

Kim rode her biyciclye 135 miles in 9 weeks.

Number of miles Kim rode per week = Total miles travelled / number of weeks

= 135 miles / 9 weeks

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The correct answer is

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3 0
3 years ago
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