Write 4716 in scientific notation.
1 answer:
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If points D, E, F and G make a rectangle with the given coordinates for each point then the area of the rectangle is 150 sq. units
How to find distance between two points?
Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the distance between the two points is usually given by D = √((x₂ – x₁)² + (y₂ – y₁)²)
This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
According to the given question:
The four vertices are D(-1,-3), E(-9, -9), F(-18, 3) and G(-10, 9) check the attachment below.
Distance between two points D = √((x₂ – x₁)² + (y₂ – y₁)²)
Side DE = √((-9 – (-1))² + (-9 – (-3))²) = √100 = 10 units
Side EF = √((-18 – (-9))² + (3 – (-9))²) = √225 = 15 units
Side FG = √((-10 – (-18))² + (9 – 3)²) = √100 = 10 units
Side GD = √((-1 – (-10))² + (-3 – 9)²) = √225 = 15 units
∴ Area of rectangle = l x b = DE . EF
Area = 10 x 15 = 150 sq. units
Hence the area of rectangle with the given coordinates is 150 sq. units
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Answer:
66
Step-by-step explanation:
If there are <em>n</em> students, then the number of pairs is .
With 12 students, pairs can be formed.
The reason the formula works is this: Each of the 12 students can be paired with 11 other students (no student is paired with him/her self). But counting 12 x 11 = 132 counts each pair <u>twice</u>. Example: student A can be paired with student B,..., student B can be paired with student A. The pair was counted two times.
See the attached image that shows pairings of 5 students. There are
5(5 - 1)/2 = 5(4)/2 = 10 pairs.
