Q: Does 6xy-8xy equals -2x squared y squared?

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Yes.

(-3, -5)

Need signs between terms.

If the line y = 2x+1.25 is a tangent to the curve y^2 = 10x then it works out that when x = 5/8 then y = 5/2

If you mean: (2x-7y)(x+y) then it is 2x squared -5xy -7y squared

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Yes.

If: 2x+y = 5 and x2-y2 = 3 Then the solutions work out as: (2, 1) and ( 14/3, -13/3)

If: y = 4x2-2x-1 and y = -2x2+3x+5 Then the length of the line works out as: 65/18 or 3.6111 ... recurring decimal 1

15

If the line y = 2x+1.25 is a tangent to the curve y^2 = 10x then it works out that when x = 5/8 then y = 5/2

(-3, -5)

Need signs between terms.

If you mean: (2x-7y)(x+y) then it is 2x squared -5xy -7y squared

They intersect at the point of: (-3/2, 11/4)

4

Straight line: 3x-y = 5 Curved parabola: 2x^2 +y^2 = 129 Points of intersection works out as: (52/11, 101/11) and (-2, -11)

It works out that line 3x-y = 5 makes contact with the curve 2x^2 +y^2 = 129 at (52/11, 101/11) and (-2, -11)