Point R lies between points P and Q. Find the length of RQ if PQ = 24, PR = 2x + 2, RQ = 5x + 1. %3D P R

Q: Find the midpoint of PQ.  P( -6, 7) and Q( 3, 1)

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Q: Find the distance d between the points (1, 3) and (5, 6).

A: Given: To Find: The distance (d) between the points (1, 3) and (5, 6)

Q: The distance d from P1=(2,-5) to P2=(4,-2) is d=..................

A: The given points as ordered pairs are  P1=(2,-5) and P2=(4,-2). As the coordinates of a point are…

Q: Calculate ?a so that the line y=3x+a travels accross the point (3,10). Give the answer in its exact…

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Q: Find the distance of the point P to the line l, where l: 3x+4y=12 P:(2,-6)

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Q: Find the angle between the following straight line y=4-2x,y=3x+7

A: To find the angle

Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0. %3D

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Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

A: Angle of the line along x-axis

Q: Find the obtuse angle formed by the lines x+3y+3=0 and x-y-2=0.

A: Topic - angle between lines We will take absolute value of angle as sign depends Up on which line we…

Q: Please help find the point of intersection and the angle between the lines y = x + 3 and y = 2x + 1.

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Q: find the angle between the straight line 3x+4y=12,3x-4y=7

A:

Q: Find the length of the transverse axis if the length of the semi-transverse axis is 55.

A: This question can be solved if we know the relation between transverse axis and semi transverse…

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.