Which equation represents a line that is perpendicular to Line I on the graph below? a) y=-/2x + 3 b) y=2x +3 14,4) c) y=2x +3 d) y=-2x + 3 (0.-4)

Q: Which statement is true about a line that runs parallel to the x-axis and passes through the point…

A: We have to find equation of a line that runs parallel to the x-axis and passes through the point…

Q: What is the horizontal of line through the point (4,-6)?

A: Solution: In the XY coordinate system, the point notation is always written as (x,y) And, x…

Q: 9. Can one line be perpendicular to two other lines that intersect? Ex- plain.

A: It is possible in three dimensional geometry but its impossible in two dimensional geometry.

Q: Point A is (2,-1) and point C is (0,3). If C is the midpoint of line AB, what is point B ?

A: Solution

Q: 2) What is the length of the line segment that has endpoints at (-5,3) and (4,5)?

A: The end points of the line segment are : x1,y1 = -5,3 x2,y2 = 4,5 To evaluate : The length of the…

Q: What are the Secant Lines?

A: If we join any two points on a given curve then the joining line is called the Secant Line. Secant…

Q: Verify that the points (7, 12) and (11, 18) divide the line segment joining (3, 6) and (15, 24) into…

A: Given points are x1,y1=3,6x2,y2=7,12x3,y3=11,18x4,y4=15,24

Q: WHAT IS THE EQUATION OF A TAMILY Of A STRAIGT LINES WITH X Y INTERCEPIC

A: We can find the equation of family of a straight lines with x and y intercepts as below

Q: In the five-point geometry, each point has exactly four lines on it. How do I prove this statement?

A: Answer is mentioned below

Q: Line m is a line that passes through point m and is parallel to line l.  What is the equation of…

A: Given, if m is a line that passes through point M and is parallel to line l.we have to find the…

Q: find the nature of triangle formed by the lines x2-3y2=0 and X=2

A:

Q: find the nature of triangle formed by the lines x2- 3y2 =0 and X=2

A: Nature of triangle is isoscelene

Q: help sos

A:

Q: how two lines perpendicular to the same line are parallel to each other?

A:

Q: Prove that the point (1,11),(2,15), and (-3,-5) are collinear and find the equation of the straight…

A: Let the given points be A (1,11), B (2,15), and C (-3,-5). Evaluate the slope of the line AB as…

Q: Prove: In the five-point geometry, each point has exactly four lines on it.

A:

Q: he midpoint of line segment of AB is point M, located at (-28,5).  If the coordinate of A are…

A: The midpoint of line segment of AB is point M, located at (-28,5). The coordinate of A are (2,-4)To…

Q: If the straight lines are coplaner then they are?

A:

Q: The distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t is:

A: Find the distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t.

Q: What is the distance between points (0,0) and (-3,4)?

A: Given points are  We know that distance between the points (x1,y1) and (x2,y2) can be calculated by…

Q: Verify that (1, 2) is the midpoint of the line segment joining (-3, -1) and (5, 5).

A: To verify that (1, 2) is the midpoint of the line segment joining (-3, -1) and (5, 5). By using…

Q: What is the distance between point (2,4,5) to line r = (1,2,5) + t (-1,2, -1)?

A:

Q: construct a line that goes through point A and is perpendicular to a line.

A:

Q: Is the point (3, 1) on the line that contains the points (−2, −1) and (4, 2)?

A:

Q: 2)What line is perpendicular to 2x + y = 3 at (1,1)?

A: What line is perpendicular to 2x+y=3 at (1,1)?

Q: The perpendicular distance from (5,3) to the line y+4x= 6

A: Line = y+4x-6 = 0 and point ( 5,3)We Know that the perpendicular distance d= ax + by +ca2+b2Where a…

Q: 1. What is the midpoint of a line segment with endpoints (-6, 8) and (4, 2)?

A: We have to find midpoint

Q: Two lines that cross at a point are called v lines.

A: Two lines can either cross or run parallel to each other.

Q: What is the distance between points (-6,-9 ) and ( 3,3) on the coordinate plane?

A: A cartesian plane is a plane that involves the cartesian axis, i.e. x and y-axis. A coordinate plane…

Q: Explain why the lines below are parallel. li: (х, у, г) %3D e2: (х, у, г) %3D(3, 7, — 2) + (-1, - 2,…

A: Given: l1:(x,y,z)=(2,3,4)+n(1,2,−3)l2:(x,y,z)=(3,7,−2)+r(−1,−2,3)

Q: When the coordinates of two points are (x , y ) and (x, -y) what line symmetry do the points share?…

A: We know for two points,  i) (x, y) and (x, - y) has x axis as line of symmetry.  ii) (x, y) and (-…

Q: What is meant by coincident lines? Give an example along with

A: Consider two lines “l” and “m” respectively as

Q: Construct perpendicular lines from point P to line m. 1. VE

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Graph the line that satisfies each condition. 24. contains (-3, 4) and is parallel to AB with A(2,…

A: To Determine: graph the line satisfy each condition  Given: contains (-3,4) and is parallel to AB↔…

Q: Find the set of parallel lines intersecting at a point (3, -2, 0).

A: Use : Parallel lines never intersect.

Q: ent between (2,4) and (1,-3)?

A:

Q: what is the geometric plàce of points multiplication two given whose of their distance to the lines…

A: Let the line be L1 and L2 having points (x1 ,y1 ) and (x2 ,y2 ) and locus of the geometric place of…

Q: Describe at least two similarities between constructing a perpendicular line through a point on a…

A:

Q: Show that the sum of the squares of the direction cosines of a line through the origin is equal to 1…

A: To show: The sum of the squares of the direction cosine of a line through the origin is equal to 1.

Q: Suppose that L is a line through the points (a, 2, c) and (3, –4, 2) that is parallel to one of the…

A: Given that: L is a line passing through (a,2,c) and (3, -4, 2) and parallel to one of the axes.

Q: Find the length of the perpendicular drawn from point (2, 3, 4) to the line 4 1- 2 %3D 6 3

A:

Q: george noticed when that pair of paralell lines was cut by a transversal, a certain pair of adjacent…

A: We have to find the conclusion when pair of parallel lines are cut by a transversal and a certain…

Q: The midpoint of the line segment connecting the points P, Q has coordinates (—4, —1). If the point P…

A:

Q: the midpoint of line segment AB is point M, located at (-28, 5). If the coordinates of A are (2,…

A:

Q: What are the coordinates of the point lying at the intersection of the lines x = 9 and y = −4?

A: First draw the line in coordinate system:

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.