<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.
Answer:
10 by 8
Step-by-step explanation:
The perimater is 80 so number are added. The area would be a square 10 by 8 if you multiply 10 by 8 it will give you 80.
Answer:
It means Sub To PewdDePie
Step-by-step explanation:
so,
1/12 × $100
5/12 × $20
6/12 × $1
so the expected "payout" is
100/12 + 100/12 + 6/12 = 206/12 = 103/6 ≈ $17.17
minus the $2 entrance fee, the expected value is
17.17 - 2 = $15.17
but of course, there will be 6 losing $1 (while the other 6 will go home with a positive result).
Answer:
6 sqrt 3
Step-by-step explanation: