You can tell if the equation is linear or not if the equation makes a straight line on a graph.
if the diameter of a circle is 15, its radius is half that or 7.5.
![\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7.5 \end{cases} A=\pi (7.5)^2\implies A=56.25\pi \implies \stackrel{\pi =3.14}{A=176.625}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5C%20A%3D%5Cpi%20r%5E2~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D7.5%20%5Cend%7Bcases%7D%20A%3D%5Cpi%20%287.5%29%5E2%5Cimplies%20A%3D56.25%5Cpi%20%5Cimplies%20%5Cstackrel%7B%5Cpi%20%3D3.14%7D%7BA%3D176.625%7D%20)
Answer:
No solution.
Step-by-step explanation:
That image is of the symbol of the empty set. The solution set is empty, which means there is no solution.
<span>all real numbers less than or equal to 7</span>
STEP 1:
Total runners originally= 8
# of runners to receive trophies= 4
8-2 drop outs= 6 runners total now
STEP 2:
= # of trophies ÷ total runners now
= 4/6
simplify by 2
= (4÷2)/(6÷2)
= 2/3 runners
ANSWER: 2/3 of the remaining runners will win a trophy.
Hope this helps! :)
