Find the missing angle on a quadrilateral. Angle C equals 80 degrees, Angle D equals 90 degrees, and angle E equals 135 degrees.
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Answer:
50
Step-by-step explanation:
v = the original speed of the cruise
d = 225 km the distance passed
t = d/v = 225/v the total time of the travel
v*1.5 + (v + 10)(d/v - 1.5 - 0.5) = d (using the formula distance = speed*time)
1.5v + (v + 10)(225/v - 2) = 225
Look at the images to see the solved equation
Your answer would probably be:
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First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have
Which means that the roots are
Next, we can expand the function definition:
In this form, it is much easier to compute the derivative:
If we evaluate the derivative in the points of interest, we have
This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation
is what we need. The three lines are:
This is the tangent at x = -2
This is the tangent at x = 0
This is the tangent at x = 1