Answer:
- width: 18 in
- length: 27 in
Step-by-step explanation:
The relations between length (L) and width (W) are ...
W +9 = L
LW = 486
Substituting gives ...
(W+9)W = 486
W^2 +9W -486 = 0 . . . put in standard form
(W +27)(W -18) = 0 . . . . factor
W = 18 . . . . the positive solution
The width of the rectangle is 18 inches; the length is 27 inches.
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<em>Comment on factoring</em>
There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.
486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.
6.40x+9.90(154-x)=1230.90
Solve for x
X=84 for child
154-84=70 for adults
Answer:
the answer is n=3
Step-by-step explanation:
I believe the answer they're looking for is 3, but it's hard to tell, because there's a negative sign before the box, and a polynomial cannot contain a negative exponent.
Ignoring that sign though, the answer should be 3 because Polynomials typically have a term with each degree up to the maximum of the polynomial.
In this polynomial, there is a term with degree 4, degree 2, and degree 0, but none for degree 3 or 1. Because of this, the only acceptable answer is 3.
Answer:
The three sides have the same length.
Step-by-step explanation: