Find an equation for the perpendicular bisector of the line segment whose endpoints are (-9,-8) and (3,-2).

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

A: Given:

Q: (Coordinates) both parts are connected!

A: Step 1:

Q: What is the midpoint of a segment whose endpointd are (6, 4) and (9, -2)? Answers A -D (7.5, 1) B…

A: To find the midpoint of the straight line in a graph, we use this midpoint formula that will…

Q: The base of a ladder is 3 horizontal feet from the wall where its top rests (see figure). The slope…

A: Answer

Q: A certain field is a rectangle with a perimeter of 922 feet. The length is 151 feet more than the…

A:

Q: In the diagram at the left below, PT is tangent to 00 and PN intersects 00 at J. Find the radius of…

A: Draw a perpendicular line PO. Join OT. To find OT=radius. Given PN = PJ + JN= 8+4=12, ON=4 ,PT=12

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.