The following set of coordinates represents which figure? (7, 10), (4, 7), (6, 5), (9, 8) parallelogram rectangle rhombus square

The figure is a rectangle

Step-by-step explanation:

* Lets explain how to solve the problem

- To prove the following set of coordinates represents which figure

  lets find the distance between each two points and the slopes of

  the lines joining these points

- The rule of the distance between two point is

- The rule of the slope is

- Remember:

* Parallel lines have same slopes

* The product of the slopes of the perpendicular lines is -1

# points (7 , 10) and (4 , 7)

∵

∵

# points (4 , 7) and (6 , 5)

∵

∵

# points (6 , 5) and (9 , 8)

∵

∵

# points (9 , 8) and (7 , 10)

∵

∵

∵ d1 = d3 = √18 and d2 = d4 = √8

∴ Each two opposite sides are equal

∵ m1 = m3 = 1 and m2 = m4 = -1

∴ Each two opposite sides are parallel

∵ m1 × m2 = 1 × -1 = -1

∵ m2 × m3 = 1 × -1 = -1

∵ m3 × m4 = 1 × -1 = -1

∵ m4 × m1 = 1 × -1 = -1

∴ Each two adjacent sides are perpendicular

- The set of coordinates represents a figure has these properties:

1. Each two opposite sides are equal

2. Each two opposite sides are parallel

3. Each two adjacent sides are perpendicular

∴ The figure is a rectangle

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic