4 years ago

Given that P = (2, 9) and Q = (4, 14), find the component form and magnitude of vector PQ.

1 answer:

6 0

We are asked to determine the lengths of the line segment drawn with these points as endpoints. The equation of the distance between points is,
d = sqrt ((y2 - y1)² + (x2 - x1)²)
Substituting the coordinates of the points,
d = sqrt ((14 - 9)² + (4 - 2)²)
The numerical value for d is approximately 5.39.

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Deffense [45]

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3 years ago

Read 2 more answers

Use a two-dimensional representation of the prism, if necessary, to find the area of the entire surface of the prism.

lyudmila [28]

Answer:

The surface area of the prism is 72 square units.

Step-by-step explanation:

In order to calculate the surface area of the prism we must calculate the area of each face of the prism. To better visualize it we can look at the picture below. We must calculate the area of every face in the picture, so we have:

surface area = 2*[(1/2)*3*4] + 3*5 + 4*5 + 5*5

surface area = 12 + 15 + 20 + 25

surface area = 72 square units