triangle having vertices (3,-1), (1,3) and (2, 4). Let P be the point of intersection of the lines x + 3y - 1 = 0 and 3x – y + 1 = 0, then the line passing through the points C and Dalse passes thro ugh the point:

Q: Line segment AB has midpoint M. M is located at (6,-2). Point A is located at (13,-11). What are the…

A: Given The midpoint of the line segment AB is M6,-2. The Coordinates of the point A are 13,-11. Apply…

Q: The line in the direction of i −3j + 4k through the point (1, 0, −2).

A:

Q: 6. Points U, V, and W are collinear such that 3. If a directed line segment 8. UV: UW : begins at…

A: To find the coordinates of point V.

Q: 4. Line segment RW has endpoints R(-4, 5) and W(6, 20). Point P is on RW such that RP:PW is 2:3.…

A: Answer and explanation is given below....

Q: Directed line segment QP has endpoints at Q(-9, 10) and P (3, -5). Find the coordinates of point R…

A:

Q: y B (1, 2) C (0, 2 ) R2 R3 R1 シ=2x A (1,0)

A: Given:

Q: Line I passes through the points (-4, -7) and (2, 3) on the coordinate plane. Line m passess through…

A:

Q: A parking slot in an IT company is triangular shaped With two of its vertices at B(- 2,0) and…

A: Midpoint of the coordinate x1,y1 , x2,y2 is given by x1+x22,y1+y22 Equation of line passing through…

Q: Plane P contains four distinct lines L,,l,, and l. Suppose 1,lG.21,and l, II . How are l, and 4…

A:

Q: Line segment GH _ has endpoints G ( - 5 , 5 ) and H ( 5 , 1 ) . Line segment MN _ has endpoints M (…

A: We have to prove that GH and MN are perpendicular bisector of each other.

Q: Given 2 points M(2, 5, -3) and N(-3, 1, 4). Find the point of intersection of the line MN and the x…

A: Given two points M2,5,-3 and N-3,1,4

Q: Directed line segment DE has endpoints D(-4, –2) and E(1, 8). Point F divides DE such that DF:FE is…

A: Given : D-4,-2E1,8DF:FE = 2:3

Q: Point P(-4, 0)  lies on the directed line segment AE.  The endpoints are A(2, -6) and E(x, y).  What…

A: Please refer the attached image for complete solution.

Q: . Triangle FGH with vertices F(6, 6), G(8, 8), and H(8, 3): (a) Reflection: in the line x 5 (b)…

A: Given: Triangle FGH with vertices F(6, 6), G(8, 8) and H(8, 3): (a) Reflection: in the line x=5 (b)…

Q: 5. A point moves so that the difference of their distances from (-6,0) and (6,0) is 10. Find the…

A:

Q: B. Find the midpoints of the sides of the triangle with vertices (3, 0), (5, 2), (7, 6). C. Find the…

A: Mid point formula Let we have two points (a, b) and ( c, d) , which forms a line by joining these…

Q: equaton of a line contain iwig the poent (1,7, -3) and parallel to the yz-plar 2 Find an

A: We will find the equation of line.

Q: Line l passes through the points (-4,-7) and (2, -3) on the coordinate plane. Line m nasses through…

A:

Q: Line segment RW has endpoints R(4,5) and W(-6,20). Point P is on RW such that RP.PW is 2:3. What are…

A:

Q: What is the geometric object in 3-space represented by the equation (x + y +z)^2 = 0 Choose: 1.…

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Q: The location of point P = (x, y) is defined in terms of two points A = (2,2) and B = (8, -8).…

A:

Q: Find the area of the triangle with vertices (0, 4), (-8, 0) and (-1, -4) 6. The distance of the…

A:

Q: %3D Line L and Line m are parallel lines that have been rotated 180°. The resulting images are show…

A: Please see the answer in Step 2.

Q: Line segment RW has endpoints R (-4,5) and W (6,20) point P is on RW such that RP :PW is 2:3 . What…

A: Line segment RW has endpoints R (-4,5) and W (6,20) point P is on RW such that RP: PW is 2:3. What…

Q: Lines h and k are parallel. %3D Find the mz5 if the mz1 = 36° O 38 O 54 O 144 O 48

A:

Q: Directed line segment PQ has endpoints P(-8,-4) and Q(4,12). Determine the point that partitions the…

A: Here we have to find the co-ordinate of the point that divides the line segment in given ration.

Q: Martin is trying to find the orthocenter of this triangle. What is his next st A B O construct a…

A:

Q: A striaght line intersect x-axis at A(7,0) and y-axis at B(0,-5). The straight line PQ is…

A:

Q: 3) The straight line l passes through the points (0,1,5) and (2, –2, 1). Find the y - and z…

A: Using Cartesian equation.

Q: Skew lines are lines that are not parallel, yet do not intersect such as in this diagram: # Show…

A: We need to show that the 2 given lines are skew

Q: Lines l1: (x, y, z) = (2, 3, – 1) + n(1, 1, 2) and l2: (x, y, z) = (7, 7, 2) + r(-2, – 1, 3)…

A: Given : Vector equation of line l1 : x, y, z=2, 3, -1+n1, 1, 2 Vector equation of line l2 : x, y,…

Q: Triangle LMN with vertices L(-7, 4), M(-3, 0), and N(-8, 1): (a) Translation: (x, y) → (x + 5, y -…

A: given vertices of the triangle are now the first translation is  which means we need to add 5 units…

Q: three vertices of parallelogram MNPQ are M(-1,1), N (2,3), and P(4,1). plot points M, N , P , Q in…

A:

Q: A circle has center (2, 4). Prove that if the radius of the circle is less than 5, then the circle…

A:

Q: Rhombus KLMN with vertices K(-3, 2), L(1,4). M(-1, 0), and N-5, -2): (x, y) → (x, y-5) K'L. L'L 7.7…

A:

Q: 1. Let A= (4,-3), B=(4,2) and C=(0,-3)be the vertices of a triangle. (a) By using the converse of…

A: Slope of a function determines whether the function is increasing or decreasing. If the slope of…

Q: Findequakions forthe fallawingliner Hawt - The line through (1, and parallel to 2- The line through…

A: Note:- According to our company guideline . We are supposed to answer only one question. Kindly…

Q: 2. A helicopter rescue Two helicopters, H1 and H2, are travel- ing together. At time t = 0, they…

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Q: 7 Find the coordinates of the point of the way from A to B. 7 of the way from A to B are The…

A: Let's find.

Q: 1. Write the equation of a line perpendicular to the 2. Write the equation of the line that passes…

A:

Q: a) Find the point on the line joining p1 (1,4,-3) and p2 (1,5,-1) that is () of the way from p1 to…

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Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

A:

Q: Rectangle WXY Z has vertices located at W(-6, 4), X(-6, –1), Y (2, –1), and Z(2, 4) on a coordinate…

A: Vertices of rectangle WXYZ are W-6, 4,  X-6, -1, Y2, -1, and Z2, 4.

Q: 18. Which point does not lie on the same plane as the points P(1,5,6), Q(-2,-3,4), and R(-1,3,2)? a.…

A: First we find equation of plane passing through points P(1,5,6), Q(-2,-3,4), R(-1,3,2) We know that…

Q: Collinear points Determine whether the points P, Q, and R are collinear (lie on a line) by comparing…

A: (a) Points P, Q, R are collinear if exists scalar c≠0 such that PQ→=cPR→ Using coordinates, we get…

Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

A: (b) r1 = <4t, -3t+1, t-4> and r2 = <2t-3, -t, -t-1> So, if they have a point of…

Q: 1. Let A, B, C, and D be four distinct points in the plane. Suppose that no three of them lie on a…

A:

Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

A: