Answer:
One piece is 
inches and another piece is 
inches
Step-by-step explanation:
Let smaller piece length be 
Let larger piece length be 
Since total of two pieces is 43, we can write:
Also, one piece is twice as long as the other (so longer piece is definitely twice as the short piece), we can write:
<em>Substituting equation 2 into equation one, we can solve for s:</em>
<em>Thus longer piece is:</em>
4^4 * 4^(-9) = 4^(4-9) = 4^(-5) or 1/(4^5)
<u>We'll assume the quadratic equation has real coefficients</u>
Answer:
<em>The other solution is x=1-8</em><em>i</em><em>.</em>
Step-by-step explanation:
<u>The Complex Conjugate Root Theorem</u>
if P(x) is a polynomial in x with <em>real coefficients</em>, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).
The question does not specify if the quadratic equation has real coefficients, but we will assume that.
Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.
Answer:
$1,790
Step-by-step explanation:
159.00 x 10 = 1590
200 x 1 = 200
1590 + 200 = 1790
