Find a linearly independent set of vectors that spans the same subspace of ℝ3 as that spanned by the vectors ⎡⎣⎢⎢−2−2−3⎤⎦⎥⎥, ⎡⎣⎢⎢−5−4−4⎤⎦⎥⎥, ⎡⎣⎢⎢10−2⎤⎦⎥⎥. a linearly independent spanning set for the subspace is:

i dont know

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: