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3 years ago

Abigail rides her bike with a constant speed of 12 miles per hour. How far can she travel in 45 minutes?

2 answers:

7 0

If she rides at 12 miles per hour, we know that 45 minutes is three quarters of an hour, therefore just workout:

3/4 x 12 = 9

So she would travel 9 miles in 45 minutes.

Eduardwww [97]3 years ago

7 0

3/4*12=9 so she will travel 9 miles in 45 minutes

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

If dy/dx = x(y-1), find the equation of the tangent line at x=-2 with f(-2)=3

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Answer:

The equation of the tangent line passing through the point (-2,3) is

4 x + y +5 =0

Step-by-step explanation:

Step(i):-

Given that the slope of the tangent

$m = \frac{dy}{dx} = x(y-1)$

m = -2( 3-1) = -4

Given point x = -2

y = f(-2) =3

∴The given point ( x₁ , y₁) = ( -2 ,3)

Step(ii):-

The equation of the tangent line passing through the point (-2,3)

$y - y_{1} = m(x-x_{1} )$

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y -3 = -4( x+2)

y-3 = -4x -8

4x + y -3+8=0

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Step(iii):-

The equation of the tangent line passing through the point (-2,3) is

4 x + y +5 =0

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2 years ago