The distance from the vertex of a right cone or right pyramid to a point on the edge of the base can be determined using the Pythagorean theorem. This distance is the hypotenuse of a right triangle formed by the height of the cone or pyramid, the radius of the base (for a cone) or the apothem (for a pyramid), and the slant height as the hypotenuse. For a cone, the distance is calculated as (d = \sqrt{h^2 + r^2}), where (h) is the height and (r) is the radius. For a pyramid, the formula would involve the height and the apothem of the base.
The equation of a parabola that opens left or right with its vertex at the point ((h, v)) is given by ((y - v)^2 = 4p(x - h)), where (p) is the distance from the vertex to the focus. If (p > 0), the parabola opens to the right, and if (p < 0), it opens to the left.
The extreme point of a parabola is called the vertex. In a parabola that opens upwards, the vertex represents the lowest point, while in a parabola that opens downwards, it represents the highest point. The vertex is a crucial feature for understanding the shape and direction of the parabola.
No, a shape cannot have more than 3 edges meeting at a vertex and simultaneously have a right angled face. A right angled face implies that two edges form a right angle, which is only possible with three edges meeting at a vertex.
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The equation of a parabola that opens left or right with its vertex at the point ((h, v)) is given by ((y - v)^2 = 4p(x - h)), where (p) is the distance from the vertex to the focus. If (p > 0), the parabola opens to the right, and if (p < 0), it opens to the left.
the circumcenter.
A right angle.
A point.
The extreme point is called a vertex.
Two nappes of a right circular cone meet at a point called the vertex.
No, a shape cannot have more than 3 edges meeting at a vertex and simultaneously have a right angled face. A right angled face implies that two edges form a right angle, which is only possible with three edges meeting at a vertex.
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To find the value of a in a parabola opening up or down subtract the y-value of the parabola at the vertex from the y-value of the point on the parabola that is one unit to the right of the vertex.
No. Only 2 altitudes can intersect at a point. * * * * * True but even they do not meet in the interior. The altitudes of a right angles triangle meet at the right angled vertex. The vertex is at the boundary of the triangle, not in the interior.
Same as it is in any other angle ... the point where the sides of the angle join (or cross).