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Ksenya-84 [330]
3 years ago
13

Find the distance between the points with the given coordinates.√ (copy and paste the radical if necessary, no decimals)

Mathematics
1 answer:
Yakvenalex [24]3 years ago
5 0

Answer:

d=\sqrt{593}

Step-by-step explanation:

<u>Distance Between two Points in the Plane</u>

Given two points A(x,y) and B(w,z), the distance between them is:

d=\sqrt{(z-y)^2+(w-x)^2}

We are given the points (5, 14) and (−3, −9). Substituting into the formula:

d=\sqrt{(-9-14)^2+(-3-5)^2}

d=\sqrt{(-23)^2+(-8)^2}

d=\sqrt{529+64}

\boxed{d=\sqrt{593}}

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a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip
7nadin3 [17]
Well, you could assign a letter to each piece of luggage like so...

A, B, C, D, E, F, G

What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.

My answer and workings are below...

35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.

210 arrangements (35 x 6) when order is taken into consideration.

*There are 6 ways to configure 3 letters.

Alternative way to solve the problem...

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