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What is Special Case Product of Binomial?
Some special cases that are relevant in practice are: (a + b)2 = a2 + 2ab + b2 (a - b)2 = a2 - 2ab + b2 (x + a)(x + b) = x2 + (a+b)x + ab
What is one of the binomial factors of x squared minus 14x minus 32?
(x - 16)(x + 2) x = 16 or -2
What is the distance from one point to the other?
In a plane with the normal (x,y) coordinates, the usual distance formula is that the distance between (x1,y1) and (x2,y2) is √((x1-x2)2+(y1-y2)2). This can be extended to n dimensions by letting the distance between (a1,a2,a3,...,an) and (b1,b2,b3,...,bn) be √((a1-b1)2+(a2-b2)2+...+(an-bn)2)
What is a binomial factor of the trinomial x2-16 plus 28?
(x - 14)(x - 2)
The eccentricity of the ellipse if minor axis is equal to the distance between the foci is Answer is 1 radical 2 how?
The standard equation for an ellipse centered at the origin is [x2/a2] + [y2/b2] = 1 We also have the relationship, b2 = a2 - c2 where c is the distance of the foci from the centre and a & b are the half lengths of the major and minor axes respectively. When the length of the minor axis equals the distance between the two foci then 2b = 2c : b = c. Thus, a2 =b2 + c2 = 2b2 One of the formulae for the eccentricity of an ellipse is, e = √[(a2 - b2)/a2] Thus, e = √[(2b2 - b2) / 2b2] = √½ = 1/√2.
