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Earn +20 ptsQ: 8k-7 for k equals 4
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What is the answer to 4k-3 equals 3k plus 4?
Take 3k from both sides to get k-3 equals 4, so k is 7
If y varies directly as x squared find k when y equals 16 and x equals -4?
20
Y varies directly as the square of r If y equals 405 when are equals 9 find y when are equals 2?
y / r2 = a constant (k) so k = 405/81 ie 5. k = y/4 when r = 2, so y = 20.
If it is that 546 k equals 273°, then it follows that 400 k equals?
1200°
What are the possible values of k when y equals 2x plus k is a tangent to the circle x2 plus y2 equals 4?
If: y = 2x+k then y^2 = 4x^2 +4kx +k^2 by squaring both sides If: x^2 +y^2 = 4 then x^2 +4x^2 +4kx +(k^2 -4) = 0 So: 5x^2 +4kx +(k^2 -4) = 0 Using the discriminant: (4k)^2 -4*5*(k^2 -4) = 0 Solving the discriminant: k = -square root of 20 or +square root of 20
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