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What are the possible values of k when the line y equals kx -2 is a tangent to the circle y equals x2 -8x plus 7?
Wiki User
∙ 6y ago
If: y = kx -2 is a tangent to the curve (which is not a circle) of y = x^2 -8x +7
Then: kx -2 = x^2 -8x +7
Transposing and collecting like terms: (8x+kx) -x^2 -9 = 0
Using the discriminant: (8+k)^2 -4*-1*-9 = 0
Multiplying out the brackets and collecting like terms: 16k +k^2 +28 = 0
Factorizing the above: (k+2)(k+14) = 0 meaning k = -2 or k = -14
Therefore the possible values of k are -2 or -14
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoThe question cannot be answered because "y equals x2 -8x plus 7" is NOT a circle. Please provide the equation of a circle if you want a tangent to the circle.
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What are the possible values of k in the line y equals kx -2 which is tangent to the curve y equals x squared -8x plus 7?
The possible values for k are -2 and -14 because in order for the line to be tangent to the curve the discriminant must be equal to 0 as follows:- -2x-2 = x2-8x+7 => 6-x2-9 = 0 -14x-2 = x2-8x+7 => -6-x2-9 = 0 Discriminant: 62-4*-1*-9 = 0
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What are the possible values of k in the line y equals kx -2 which is tangent to the curve y equals x squared -8x plus 7?
The possible values for k are -2 and -14 because in order for the line to be tangent to the curve the discriminant must be equal to 0 as follows:- -2x-2 = x2-8x+7 => 6-x2-9 = 0 -14x-2 = x2-8x+7 => -6-x2-9 = 0 Discriminant: 62-4*-1*-9 = 0
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What are the possible values of k when the equation x squared plus 2kx plus 81 equals 0 has equal roots?
Using the discriminant the possible values of k are -9 or 9
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x (x+5) = 6 X equals 1.
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SOHCAHTOAA way of remembering how to compute the sine, cosine, and tangent of an angle.SOH stands for Sine equals Opposite over Hypotenuse.CAH stands for Cosine equals Adjacent over Hypotenuse.TOA stands for Tangent equals Opposite over Adjacent. Example: Find the values of sin θ,cos θ, and tan θ in the right triangle 3, 4, 5. Answer:sin θ = 3/5 = 0.6cosθ = 4/5 = 0.8tanθ = 3/4 = 0.75
