<span>Since they are playing in the space, gravity or the lack of it plays a huge role here. When the first astronaut throws the second astronaut toward the third one and due to the force exerted they would be moving in the opposite direction and there won't be any catch. Hence the game does not continue after the first throw.</span>
Given that a polynomial function P(x) has rational coefficients.
Two roots are already given which are i and 7+8i,
Now we have to find two additional roots of P(x)=0
Given roots i and 7+8i are complex roots and we know that complex roots always occur in conjugate pairs so that means conjugate of given roots will also be the roots.
conjugate of a+bi is given by a-bi
So using that logic, conjugate of i is i
also conjugate of 7+8i is 7-8i
Hence final answer for the remaining roots are (-i) and (7-8i).
Answer:
A = (5s^2t - 9st) (3t + 1)
Step-by-step explanation:
(5s^2 - 9s) (3t^2 + t)
= 15s2t^2 + 5s^2t - 27st^2 - 9st
= 5s2t (3t + 1) - 9st (3t + 1)
= ( 5s^2t - 9st) (3t+1)
Answer:
The slope of the line is 
and the equation of the line is 
.
Step-by-step explanation:
From table we understand that slope of the line is constant, that is, for each change of 
there is one and only change in 
, fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:
(1)
Where:
- Initial and final x-coordinates of the line.
- Initial and final y-coordinates of the line.
If we know that 
and 
, then the slope of the line is:
From graph we conclude that x-intercept of the line is 
. Hence, the equation of the line is and we proceed to plot the expression with the help of a graphing tool.
