A group of boy scouts on a straight trail headed
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If the endpoints of DE where D(-3, y) and E(x, 6) with the midpoint M(4, 2), the length of DE is 16.12 units
The formula for calculating the midpoint is expressed as;
For the x-coordinate points:
X = -3+x/2
4 * 2 = -3 + x
8 = -3 + x
x = 8 + 3
x = 11
Get the value of y;
2 = y+6/2
y+6 = 2 * 2
y + 6 = 4
y = 4 - 6
y = -2
Hence the coordinates of D and E are D(-3, -2) and E(11, 6)
Hence the length of DE is 16.12 units
Learn more here; brainly.com/question/22624745
Using the permutation formula, it is found that the people can be chosen for the roles in 6840 ways.
The order in which the people are chosen is important, as there are different roles, hence the <em>permutation formula</em> is used.
<h3>What is the permutation formula?</h3>The number of possible permutations of <u>x elements from a set of n elements</u> is given by:
In this problem, 3 people will be chosen from a set of 20 people, hence the number of ways is given by:
More can be learned about the permutation formula at brainly.com/question/25925367
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