Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

Speed = 72 km/h

time = 45 mins = 45/60 = 0.75 hours

We know,

Distance = Speed×time

Distance = 72(km/h)×0.75(h)

Distance = 54 km

Thus, the distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.

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1 year ago

A point p in the first quadrant lies on the parabola y=x^2. Express the coordinates of p as a function of the angle of inclinati

max2010maxim [7]

Answer:

The coordinates of the point p are: $(x,xtan\alpha )$

Explanation:

1. Name the angle of inclination of the line joining p to the origin α.

2. Find the relation between the coordinates of the point (x,y)

When you draw a line from the origin to the parabola, the intersection point, p(x,y) will have coordinates (x,y).

As per the definition of the tangent trigonometric ratio you have:

$tan\alpha =\frac{y}{x}$

From which you can clear y:

$y=xtan\alpha =>(x,y)=(x,xtan\alpha )$

Which is the expression of the coordinates of p as a function of the angle of inclination of the line joining p to the origin.

8 0

2 years ago