The formula for the Latus rectum is simply
2L = 4a
with a stands for the distance of the focus from the vertex of the parabola.
Given a, you can simply solve for the length of the latus rectum by using this formula..
L = 2a
The latus rectum of a parabola is a segment with endpoints on the parabola passing through the focus and parallel to the directrix.
Its latus rectum is its diameter. Since there are infinitely many diameters, the question needs to be more specific.
The word latus rectum came from Latin, latus means 'side' or line and rectum means 'straight'.
The question is incomplete because it is not an equation. Assume that the expression given equals x, i.e.: 6*y^2+24*y+25=x. Completing the square on y: 6*[y^2 + 4*y + (+4/2)^2 - (+4/2)^2] + 25 = x, 6*[(y+2)^2 - 4] + 25 = x, 6*(y+2)^2 - 24 + 25 = x, 6*(y+2)^2 = x-1, and (y+2)^2 = (1/6)*(x-1). This is a translated parabola with y=-2 its axis of symmetry and (1,-2) its vertex. The domain of the parabola is x >= 1 and the range is that y can be any real number. If the distance from the vertex to the focus along the axis of symmetry is called p, then, from the equation, 4*p = 1/6 and p = 1/24. That puts the focus at (1+1/24,-2) and the directrix at x = 1-1/24. The length of the line segment called the latus rectum is |4*p| = 1/6 with endpoints (1+1/24,-2+1/12) and (1+1/24,-2-1/12). The vertex and the endpoints of the latus rectum are points on the parabola and, in conjunction with the domain and range, are used to sketch the parabola. BTW, "latus" and "rectum" are latin for "side" and "to lead in a straight-line or in the right direction" (the human large intestine's last, and straight, section is also called the "rectum").
The length of the latus rectum of a hyperbola is given by the formula ( \frac{2b^2}{a} ), where ( a ) is the distance from the center to the vertices and ( b ) is the distance from the center to the co-vertices. This length represents the width of the hyperbola at the points where it intersects the corresponding directrices. For hyperbolas oriented along the x-axis or y-axis, this formula applies similarly, with the values of ( a ) and ( b ) depending on the specific equation of the hyperbola.
The formula is V = 0.A parabola is a 2-dimensional figure and therefore cannot have a volume.
Scyllarides latus was created in 1802.
Polyphagotarsonemus latus was created in 1904.
Persististrombus latus was created in 1791.
In the formula for calculating a parabola the letters h and k stand for the location of the vertex of the parabola. The h is the horizontal place of the vertex on a graph and the k is the vertical place on a graph.
Sam Latus was born on 1989-10-21.
118-(3xb)