The graph of the journey is shown in the speed-time graph below
At the time = 3 minutes, Peter would have achieved the speed V.
The distance he travelled is the area under the line as shown in the graph
We first need to find the V by using the area of a rectangle formula
so V=220
the gradient the f slope then given as
The answer is (0,5)
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Using trial and error
x^4+5x^2-36 factors to (x-2)(x+2)(x^2+9)
2x^2+9x-5 factors to (x+5)(2x-1)
so
(x-2)(x+2)(x^2+9)(x+5)(2x-1)=0
set each to zero
x-2=0
x=2
x+2=0
x=-2
x^2+9=0
x^2=-9
x=3√-1
x=3i
x+5=0
x=-5
2x-1=0
2x=1
x=1/2=0.5
roots are
x=-5-2,0.5,2, and the imaginary root 3i
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Answer:
The lines are parallel only if:
x-1 = 63
or, x = 64 degrees