The graph shows the distance Kendrick walks in different lengths of time.
2 answers:
Answer:
1) 5
2) 0.2
Step-by-step explanation:
The complete question is attached below.
The x-axis represents the time in hours and y-axis represents the distance in kilometers.
The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.
The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:
Kendrick walks 5 kilometers in 1 hour.
In next part, we have to find how much time Kendrick takes to walk 1 kilometer.
Since, we know that:
Kendrick walks 5 kilometers in time = 1 hour
Dividing both sides by 5, we can write:
Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour
So, Kendrick takes 0.2 hours to walk 1 kilometer.
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Answer:
The given quadrilateral is a rectangle.
Step-by-step explanation:
We are given the vertices of a quadrilateral,
We can use the slopes and modulus of all sides to determine whether it is a rectangle or not. The four sides of the quadrilateral are Ab, BC, CD and AD. So finding slopes of all sides using the formula
where x_1 and y_1 are the coordinates of firsst vertex and x_2 and y_2 are coordinates of second vertex.
So.
Slopes are:
Slope of AB = 2 and Length=2.23
Slope of BC = -1/2 and length = 4.47
Slope of CD = 2 and length = 2.23
Slope of AD = -1/2 and length = 4.47
As we can see that the slope of AB and CD is equal which means that they are parallel and their lengths are also same.
Similarly BC and AD have same slope which means that they are also parallel and their lengths are also equal.
More over the product of slopes of AB and CD, BC and CD, CD and AD and AD and AB is equal to -1 which indicated that these sides are parallel to each other so it can be concluded that as the opposite sides of the quadrilateral are equal and the interior angles are 90 degrees so the quadrilateral is a rectangle ..