The tangent line to a straight line, such as y = 2x - 3, is the straight line, itself.
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Equation of circle: x^2 +y^2 -4x -8y -5 = 0 Completing the squares: (x-2)^2 +(y-4)^2 = 25 which is radius squared Center of circle: (2, 4) Tangent line originates from: (8, 2) Distance from (8, 2) to (2, 4) is sq rt of 40 which is hypotenuse of right angle triangle Using Pythagoras theorem: distance^2 minus radius^2 = 15 Therefore length of tangent line is the square root of 15
It is approx 0.2679
If x = -7, then x3 = -343 so that 2x3 = -686 y = 2 then 15 y = 30 So 2x3 + 15y = -686 + 30 = -656
x = -7, y = 2 ⇒ 2x3 + 15y = 2 x (-7)3 + 15 x 2 = 2 x (-343) + 15 x 2 = -656
tangent tables are used to find values of all angles..precisely..like tan 15 degress and 25 minutes.