Use the Pythagorean Equation to find the distance between points x and y

Mathematics

1 answer:

snow_tiger [21]3 years ago

6 0

Start at point x and count down until you are in line with point y. (This will be five units). From the point you just ended at, count across until you get to point y. (This will be 9 units). Five units and nine units are the lengths of your two legs. The Pythagorean theorem is a^2+b^2=c^2. So you then take 5^2+9^2=c^2, or 25+81=c^2, or 106=c^2. Then square root each side, and get 10.2956=c. Therefore the distance between points x and y is 10.2956, or 10.3 if you choose to round.

You might be interested in

Mrs. Smith's class is working on a variety of science experiments. Each

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

If there are <em>n</em> students, then the number of pairs is $\frac{n(n-1)}{2}$ .

With 12 students, $\frac{12(12-1)}{2} = \frac{132}{2}=66$ pairs can be formed.

The reason the formula works is this: Each of the 12 students can be paired with 11 other students (no student is paired with him/her self). But counting 12 x 11 = 132 counts each pair <u>twice</u>. Example: student A can be paired with student B,..., student B can be paired with student A. The pair was counted two times.

See the attached image that shows pairings of 5 students. There are

5(5 - 1)/2 = 5(4)/2 = 10 pairs.