 ### Find the coordinates of the vertex for the parabola defined by the given quadratic function.

[ boldsymbol{ f ( x ) = 2 x^{ 2 } – 8 x + 3 } ] The aim of this question is to learn how to evaluate the vertex location of a parabola. Read moreIdentify the surface whose equation is given. ρ=sinθsinØA U-shaped curve that follows the quadratic law (its equation is quadratic), […]

### How many square feet is Rhode island?

The aim of this question is to learn unit conversions between different customary units in use in the United States of America. Rhode Island is the smallest state out of all the states within mainland of the United States of America. Its area is 776,960 acres. Although the international unit of area is square meters, there […]

### Find the point(s) on the surface at which the tangent plane is horizontal.

$z = xy +dfrac { 1 } { x } +dfrac{1}{y}$ This article aims to find the point on the surface at which the tangent plane is horizontal. Read moreIdentify the surface whose equation is given. ρ=sinθsinØThis article uses the concept of the surface at which the tangent plane is horizontal. To answer these questions, we must […]

### What is the volume of the cone? Use π ≈ 3.14 and round your answer to the nearest hundredth. The height is 14in and diameter is 10in.

The question aims to find the volume of the given cone with 14 inches in height and 10 inches in diameter as shown in Figure 1. The question depends on the cone geometry. A cone is a 3D solid shape with a circular body at the bottom and a triangular shape towards the top. The volume […]

### What is the length of X in the diagram below?

The aim of this question is to find the length of a side of a triangle that is similar to another triangle whose lengths of the sides are given. This question depends on the concepts of triangle geometry. Two triangles are said to be similar if one of the following criteria is met between those […]