first off, let's check what's the slope of that line through those two points anyway
now, let's take a peek of what is the slope of that equation then
![\bf y=\cfrac{(4+k)x-6}{5}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{(4+k)}{5}} x-\cfrac{6}{5}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{since both slopes are the same then}}{\cfrac{4+k}{5}=2\implies 4+k=10}\implies \blacktriangleright k=6 \blacktriangleleft](https://tex.z-dn.net/?f=%5Cbf%20y%3D%5Ccfrac%7B%284%2Bk%29x-6%7D%7B5%7D%5Cimplies%20y%3D%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B%5Ccfrac%7B%284%2Bk%29%7D%7B5%7D%7D%20x-%5Ccfrac%7B6%7D%7B5%7D%5Cqquad%20%5Cimpliedby%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bsince%20both%20slopes%20are%20the%20same%20then%7D%7D%7B%5Ccfrac%7B4%2Bk%7D%7B5%7D%3D2%5Cimplies%204%2Bk%3D10%7D%5Cimplies%20%5Cblacktriangleright%20k%3D6%20%5Cblacktriangleleft)
Basically u have to see what replaces “X” I’m currently learning this myself so I can’t tell u much but I know u have to do inverse! So if it’s addition u have to do subtraction basically the Opposite
use trig to work out answer
e.g sin = opp/hyp
sin60 = 20/hyp
change sin60 into the form of a trig ratio i.e sin 60=(√3/4)=(√3)/2
Then figure out answer as normal using trig
hope this helps...
Answer:
B
Step-by-step explanation:
The formula is (4/3) *pi*r^2, which means that it's 42^2 * pi * 4/3 = 7385.28
