Mathematical inverse proportional function It is planned to build a rectangular lawn with an area of 600. The functional relationship between Y length and x width? Y: x = 3:2, what are the length and width respectively? It's all wrong

Mathematical inverse proportional function It is planned to build a rectangular lawn with an area of 600. The functional relationship between Y length and x width? Y: x = 3:2, what are the length and width respectively? It's all wrong

Function relation: y = 600 / X
Using Y: x = 3:2, that is, 2Y = 3x and y = 600 / x, we get x = 20, y = 30

Inverse scale function
It is known that the intersection of a parabola and x-axis is a (- 2,0), B (1,0), and passes through point C (2,8)
① The analytical formula of the parabola is obtained;
② Find the vertex coordinates of the parabola

(1) ∵ the intersection point of parabola and x-axis is a (- 2,0), B (1,0) ∵ let the analytic formula of parabola be y = a (x + 2) (x-1), and substituting point C (2,8), we get a × (2 + 2) × (2-1) = 8, and the solution is: a = 2 ∵ the analytic formula of parabola is y = 2 (x + 2) (x-1) = 2x & # 178; + 2X-4 (2) ∵ y = 2x & # 178; + 2X-4 = 2 (x +

A problem about inverse proportion function
As shown in the figure, given that points a and B are on the hyperbola y = K / X (x > 0), AC ⊥ X axis is at point C, BD ⊥ Y axis is at point D, AC and BD intersect with point P, P is the midpoint of AC, if the area of △ ABP is 3, calculate the value of K
P is not the midpoint of BD

Let a coordinate be (a, K / a), a > 0
Then the coordinates of P are (a, K / 2a)
The ordinate of B is K / 2A
So the abscissa of B is K / (K / 2a) = 2A
So AP = K / 2a, BP = 2a-a = a
The area of △ ABP is 3, which is (K / 2a) * A / 2 = 3
The solution is k = 12