25. (1) In the cartesian equation system, given that the coordinates of vertex point Aof the square ABCD is (0,3), vertex point B is (2,0), what are the coordinates of pointsCandD?(2) In the cartesian equation system, given that in square OABC, the coordinates ofpoint A are (3...
Find the vertex, focus, and the equation of the directrix for the parabola: x = 4y^2 - 8y + 2 Find the vertex, the focus and equation of the directrix for the parabola whose equation is y^{2} + 12x = 0. Find the vertex, focus, and directri...
Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation. Vertex at (0,0); axis of symmetry is the y-axis; containing the point (3,5). How do you find the standard form of a parabola ...
The vertex form of a parabola equation is given as y = 2(x - 3)2 + 5. What are the coordinates of the vertex? Question 5Answer a. (5, 3) b. (-3, -5) c. (3, 5) d. (-5, -3Here’s the best way to solve it. ...
the focus is 3 units below the vertex. Focus is (0,2). A parabola is the collection of all points that are equally distant from the focus and the directrix. Find another point on the parabola, directly to the right of the focus. It will be (x,2) and will be ...
The vertex is the midpoint of the focus and the point of intersection of the line of axis and the directrix.Answer and Explanation: The focus and the equation of the directrix of required parabola are given as {eq}F \left ( 0, \ 3 \right ) {...
(a) Calculate the centroid of a uniform density slab of material in the shape of an equilateral triangle of side S. Place one side of triangle the x axis so that the top vertex is in the first quadran Find the centro...
To find the coordinates of vertex A of the equilateral triangle ABC, where B and C have coordinates B(-3, 0) and C(3, 0), we can follow these steps:Step 1: Understand the properties of the triangle Since ABC is an equilateral t
Then, x=0 is point of 04:47 The greph of y=x^3+ax^2+bx+c has no extemun if and only if 01:19 If f(x) =underset(x)overset(x^2)int(t-1)dt, 1 le x le 2 then the great... 04:42 If the parabola y=ax^2+bx+c has vertex at(4,2)and a in [1,3] then the.....
If we could find such a path, we would have an equation, whose solution or root would give an exact representation (and perhaps a closed-form expression) for the target number T. If we could find the shortest path then we would have the simplest exact representation of the target number....