Find an equation for the perpendicular bisector of the line segment whose endpoints are (2,7) and (-6, 3).

Q: (0,-4) and (6,2) the distance between the given points is The distance between the given points is…

A: Given: We have to find the distance between the points (0,-4) and (6,2). Consider, A=(0,-4)  and…

Q: Parallel lines

A: Parallel lines : →Parallel lines are lines in a plane  which do not meet…

Q: What is the straight distance between Points H and J on the grid below? H(-3, 4) 1(3, 4) J(3,-4) 14…

A: The distance between two points x1,y1 and x2,y2 in the XY  coordinate system can be calculated using…

Q: . Use linear algebra techniques to find the center and the radius of the circle a(x² + y²) + bx + cy…

A:

Q: 8 2 10 -8 -6 -4 -2 2F 6 8 10 -4 A -6 -8 -10

A: Given:

Q: Determine the distance between: the pa rallel line x-a++ X - 3+S+t t9= 5-t,tER and the…

A: Given line is                                                     x=2+ty=5-tz=-4 point on the line…

Q: 7. Find the area of the portion of the plane that is inside the triangle with vertices (0,0,4), (8,…

A: See this solution in below.

Q: ^. Use linear algebra techniques to find the center and the radius of the circle a(x² + y²) + bx+cy…

A:

Q: a. A trapezoid has been transformed on the coordinate plane as shown. Trapezoíd A Trapezoid B

A: Given that:

Q: Find an equation of the circle whose diameter has endpoints (-3, -6) and (5, 2). D=0

A:

Q: Jestion 13 of 21 Find an equation for the line below. -8 4 6

A: given two points on line are (-1,-1) and  (5,-3)

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.