Asked by oluphemmy
) Find the distance between A(2,3) and the midpoint of the join of B(4,5) and C(6,9).
b)i)Find the number of the different selections of 3 letters that can be made from the letters of the word SUCCESSFUL
ii)How many of these selections contain at least one vowel?
b)i)Find the number of the different selections of 3 letters that can be made from the letters of the word SUCCESSFUL
ii)How many of these selections contain at least one vowel?
Answers
Answered by
Henry
A(2, 3), B(4, 5), (X, Y), C(6, 9).
6 - 4 = 2(X - 4),
2 = 2X - 8
2x = 8 + 2 = 10,
X = 5.
9 - 5 = 2(Y - 5),
4 = 2Y - 10,
2Y = 10 + 4 = 14,
Y = 7.
d^2 = (X - 2)^2 + (Y - 3)^2,
d^2 = (5 - 2)^2 + (7 - 3)^2,
d^2 = 9 + 16 = 25,
d = 5.
6 - 4 = 2(X - 4),
2 = 2X - 8
2x = 8 + 2 = 10,
X = 5.
9 - 5 = 2(Y - 5),
4 = 2Y - 10,
2Y = 10 + 4 = 14,
Y = 7.
d^2 = (X - 2)^2 + (Y - 3)^2,
d^2 = (5 - 2)^2 + (7 - 3)^2,
d^2 = 9 + 16 = 25,
d = 5.
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