By drawing?
If so, here: first outline the current shape as big as you want it... Then, erase the first shape!
answer
(x+7)^2 + (y-4)^2 = 64
set up equation
the equation of a circle is (x - h)^2 + (y - k)^2 = r^2
where h is the center x coordinate and k is the center y coordinate
values
from the point (-7,4) we know that h = -7 and k = 4
since the radius is 8, r^2 = 8^2 = 64
plug in values
now that we have all the values, we plug them into (x - h)^2 + (y - k)^2 = r^2
(x - h)^2 + (y - k)^2 = r^2
(x - (-7))^2 + (y-4)^2 = 64
(x+7)^2 + (y-4)^2 = 64
Answer:
<h3>495 different ways</h3>
Step-by-step explanation:
This question bothers on combination. Combination has to do with selection. When selecting r objects from a pool of n objects, this is expressed as;
nCr = n!/(n-r)!r!
For us to choose rank the first 4 choices from 12 students nominated, this can be done in 12C4 number of ways;
12C4 = 12!/(12-4)!4!
12C4 = 12!/8!4!
12C4 = 12*11*10*9*8!/8!*4*3*2
12C4 = 12*11*10*9/24
12C4 = 11880/24
12C4 = 495 ways
Hence this can be done in 495 different ways
