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Step-by-step explanation:
1. (chain rule)
2
First, we know that y is equal to -8x, so we can move the -8x to replace y in the first equation, then in the first equation we get -8x=6x-14, subtract 6x on both sides, -14x=-14, x=1
We have that
<span>sin x=2/9
we know that
sin</span>² x+cos² x=1---------> cos² x=1-sin² x-----> cos² x=1-(2/9)²
cos² x=1-(4/81)------> (81-4)/81-----> 77/81
cos x=√(77/81)
Sin 2x = 2 sin x cos x-------> 2*(2/9)*(√(77/81))----> (4/81)*√77---> 0.43
Sin 2x=0.43
so
cos² 2x=1-sin² 2x---------> 1-[0.43]²-----> 1-[0.1878]----> 0.81
cos² 2x=0.81-----------> cos 2x=0.9
tan 2x=sin 2x/cos 2x--------> tan 2x=0.43/0.9---------> tan 2x=0.48
the answers are
sin 2x=0.43
cos 2x=0.9
tan 2x=0.48
So remember that (a/b)(c/d)=(ac)/(bd)
convert to imporoper number for easy
4 and 1/4=4+1/4=16/4+1/4=17/4
2 and 2/3=2+2/3=6/3+2/3=8/3
length times base=17/4 times 8/3=
(17 times 8)/(4 times 3)=
136/12=
34/3=
33/3+1/3=
10+1/3=
10 and 1/3 square yards
area is 10 and 1/3 square yards