1) 8(x-1)-6(x+2) 8x-8-6x+20 -6x -6x 2/2 20/2 X-10 x- 1 x+2 6. 8. Find the measure of the line segment indicated. Assume that lines which appear tangent are tangent.

Q: Show that the graphs of the two equations have tangent lines that are perpendicular to each other at…

A: Let m1 And m2 be the slopes of the graphs y = x and y =1x respectively. Tangent lines to these…

Q: What is the families of the curve of all straight lines through the fixed point (h,k).

A: The differential equation representing the families of curve of all straight lines through the fixed…

Q: 2. Express in radical form the length of the line segment joining the points whose coordinates are…

A: In a right triangle, the lengths of the sides of the triangle are related to each other by the…

Q: A line of length 2a has its extremities on two fixed perpendicular lines. Find the locus of the foot…

A:

Q: What is the distance from point H(6, 10) to K(-4, 2)?

A: Distance

Q: 7. Three teammates from a local soccer club are practicing passing in triangular pattern as shown in…

A: It is given that three players AB and C are playing in such a manner to form right angle triangle…

Q: Given that the standard from of a line is Ax +By =Upper C Upper B not equals 0 what is the slope of…

A: The given equation of straight line is

Q: consider a line segment connecting a point O (0,0) and point P (-3,5) as a terminal side which forms…

A: Refer  to the question, the points can be plotted as,

Q: 3) What is the distance between points (0, -1) and (10, -5)?

A:

Q: Find the envelope of the family of straight lines, which together with the line segments intercepted…

A:

Q: The midpoint of a line segment whose endpoints are (x1, y1) and (x2, y2) is (______ ,________ ).

A:

Q: 4:x=1+21, y =-2+t, z=4-t 1, :x = 5–3s, y= 4- z = 2+

A:

Q: Show that the perpendicular let fall from any points on the straight line 7x - 9y + 10 = 0 upon the…

A: See the details solution in below

Q: 2. Draw a line that is perpendicular to segment XY with point A, not on the segment A.

A: Solution

Q: Consider point P(4, 2) and line l with equation −3x+4y=6 .

A: Substitute x=4 and y=2 into the given equation. -12+8=-4

Q: (a) What is the equation of the line that is tangent to the circle of radius 8 at (0, – 8) and whose…

A:

Q: 12) What has all its point equidistance from a fixed point?

A: Solution.

Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4y + 10 = 0 intersect at the origin. are coincident.…

A:

Q: Find the distance between the point (−3, 1) and the line 4x + 3y + 4 = 0.

A: Given standard equation of line 4x+3y+4=0 and a point (-3,1)

Q: 3- The line jaining the origin and Point_of intersection of the linesr(X=l+2t_ ys-3+4Ł,2=t) aul (x-…

A: Given that: Lines are: L1: (x=1+2t, y=-3+4t, z=t) and L2: (x=-2+3t, y=-5+3t, z=-12+34t)

Q: Assume that lines which appear to be tangent are tangent. Solve for the unknown side. 10. 11. 12 16…

A: We have to find the missing length of triangle.

Q: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

A: Given Two points; (1,−2, 0) and (4, 0, 5)

Q: The line that goes through the point (0,0) so that the tangent of the angle it make with the x-axis…

A:

Q: Find an equation of the line through the point (1, 2) that is perpendicular to th = --x +3 Select…

A: The given question is solved below.

Q: 6 8 10

A: if this line is tangent then in this triangle we  can use pythagorean theorem C

Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

A: The functionals with in the calculus of variations are of the form V[f(x)]=∫abF(x,y(x),y'(x))dx The…

Q: Find the distance between the plances 3x +y-4z = 2 and 3x+ y- 4z = 24

A: Find the distance between the planes   3x+y-4z=2    and    3x+y-4z=24

Q: Find the equation of the Mane that contains the line 3X - 2:2 = - 39 = 7-7 and that is Para llel to…

A: When the plane is parallel to the line x-y+z=2: Here n1→=i^-j^+k^ and a→=2i^+3j^+k^ To find…

Q: 1 of 10 Determine the x-intercept, y-intercept, and slope of the line described by -3x +7y = -21…

A: St.line: Let the st line be y=mx+c where x-intercept is (x,0) y-intercept is (0,y) and slope is m…

Q: Two straight lines 3x - 2y + 5 = 0 and 6x - 4y + 10 = 0 intersect at the origin. are coincident. are…

A: This question is based on straight line intersection.

Q: In the xy-plane, line k intersects the y-axis at the point (0, –6) and passes through the point (2,…

A: Given:- In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the…

Q: If c>+, how many lines through the point (0, c) are normal lines to the parabola y = 3x2? normal…

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: In triangular space it is sufficient to know two different points to find the line passing through…

A: Given statement is 'True'

Q: Find the distance between the plances 3x + y- 4z = 2 and 3x + y - 4z = 24

A:

Q: 1. Show that the lines 2x + 3y = 1 and 6x - 4y - 1 0 are perpendicular.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 4. Find the line(s) containing the point (–1,4) and lying at a distance of 5 from the point (6,3).

A: (Note: We are entitled to solve only one question at a time) To Find: The lines containing the point…

Q: What are the coordinates of the points in the graph of y² – x² + 6x – 13 = 0 in which the tangent…

A:

Q: How Find the Distance from Fant(1,3) and Line y =4

A: The distance between a point x0, y0 and the line ax+by+c=0 is given by d=ax0+by0+ca2+b2. The given…

Q: 4-)Find the equation of the line that Pusses through ACber!) and in tersects the line X - . 2 at…

A:

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: 1) Parameterize the line segment running from (1, 2) to (3, 5).

A:

Q: 3. Find equations of the tangent lines to 9x +16y-52 that are parallel to the line 9x-8y-1

A:

Q: What are the coordinates of the point on the graph of Ax) = (x+ 1)(x+ 2) at which the tangent is…

A: solution:-f(x)=x+1x+2      =x2+3x+2slope of tangent=ddxf(x)                             =ddxx2+3x+2…

Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

A:

Q: Find the distance between the point (-1, 3, 5) and the line given by x = 3 + t, y = 1- 2t, and z =…

A:

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

A: Distance between two Parallel Lines we calculate as a distance between intersection of the lines and…

Q: 1. Write a parameterization for the straight line segment starting at the point (–3, –2) and ending…

A: Given:  starting point A(-3,-2)                endpoint(4,5) Task: to parametrize the given line…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.