Answer:
Step-by-step explanation:
First system: no solution, since the two lines are parallel; they never cross.
Second system: one solution
Third system: infinitely many solutions, since the second equation is a multiple of the first
Answer:
Step-by-step explanation:
<u>Step 1: Determine how much meters</u>
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Answer:
Step-by-step explanation:
the diameter of a circle is simply 2×radius.
2×15.4 = 30.8 m
the diameter is 30.8 m is true.
the circumference of a circle is
2×pi×radius
2×pi×15.4 = 30.8×pi m
the circumference is 30.8pi m is true.
therefore, the circumference can be found using
2(pi)(15.4)
is true.
now, doing the pi multiplication :
30.8 × pi = 96.76105373... m
the approximate circumference is 96.7 m is true.
6 diameters would be
30.8×6 = 184.8 m
that is much longer than the circumference.
so, more than 6 diameters could be wrapped around the circle is false, if we understand it that this is supposed to wrap the circle once without any overhanging remainder.
This problem requires the use of the chain rule: dy / dt = [dy / dx] * [dx / dt]
y = √x => dy / dx = 1 / (2√x)
<span>(a) Find dy/dt, given x = 16 and dx/dt = 7.
dy/dt = [ 1/(2√x) ] * 7 = [1/(2*4)] * 7 = 7/8
(b) Find dx/dt, given x = 64 and dy/dt = 8.
dx/dt = [dy/dt] / [dy/dx] = 8 / [1/(2√64) ] = 128
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