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A circle has equation x^2+y^2+6x+10y-7=0. Find the equation of the tangent line through the point on the circle (-8,-1).

The circle can be written (x+3) 2 +(y+5)^2 = 41 and so has center (-3,-5). The gradient through the center and the point (-8,-1) is;m = (-5+1)/(-3+8) = -4/5. The tangent line is perpendicular to this so has ...
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Answered by Rhianna L. • Maths tutor
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Explain Kant's categorical imperative

Kant's categorical imperative is stated as " Act only according to that maxim whereby you can, at the same time, will that it should become a universal law." This is known as Kant's first formulati...
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Explain the difference between current and voltage

Current is defined as the amount of electrons that flow through a wire per second Voltage is defined as the amount of energy that each electron carries as it passes through the wire
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Answered by Harout K. • Physics tutor
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Why are monopolies inefficient?

A monopoly is occurs when there is a single firm is the only supplier of a good or service in a given economy. Thus, it is able to choose the price that it wants (price maker) and a given quantity that will ...
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Answered by Harout K. • Economics tutor
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How would I go about learning my set text thoroughly and accurately?

You need to find the best possible method for you. 1. Make sure you read aloud your text, and record yourself, then listen to the text while you are walking, running, before bed, ect. 2. You need to be able ...
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Answered by Sophie D. • Latin tutor
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