The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11, k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
=( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1 )* x^4 * ( - 2,187 y^7 ) =
= 330 * ( - 2,187 ) x^4 y^7 = - 721,710 x^4 y^7
Answer: The 8th term in expansion is
If I understood the question correctly, let's set the coordinates (5,5) from the origin (the home). To find the longer side of the triangle, (the distance between the husband and wife), we use A squared * B squared= C squared. 25*25=625, the square root of 625 is 25. So the distance between the husband and wife would be 25 miles. Therefore, one mile less than their distance would be 24 miles. To answer your question, <em><u>Juan is 24 miles from home.</u></em>
The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.
