1.3 Find the area of the parallelogram with the vertices A(-5,–4), B(2, –4), C(4,4) and D(-3,4).

Q: Graph the image of rectangle KLMN after a reflection across the x-axis. 10 4 -10 -8 -6 -4 -2 4. 6.…

A: When you are reflecting a point across x axis then the x coordinate of the image point will be same…

Q: . Calculate the area of the triangle formed by the line 3x-7y+4 =0 , and the (ans.: 8/21) axes.

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Find the distance d from P, to P,. P = (2,3, - 1) and P, = (-3, -4,1) d=

A: Given query is to find the distance between P1 and P2.

Q: Find all values of x so that the triangle with vertices A(-3, -4, x), B(0,-4, 0), and C(-1, -3, -2)…

A:

Q: 1. Which of the following are possible for the visibility of the line? The solid is a right…

A: Given, Four figure of solid right triangular prism So for visibility of lines in which of the figure…

Q: Draw the figure and find the image of the rectangle with vertices A(−4, 2), B(2, 2), C(2, −2) and…

A:

Q: Graph the image of trapezoid KLMN after a reflection across the line y = -x. N 10 7. 8 4 2. -10 -8…

A: Given query is graph the image after reflection over y= -x.

Q: Find all points on the y-axis that are a distance 6 from P(5,3).

A: A point on the y axis is of the form (0,k) , where k= real number. Let (0,k) is 6 units away from…

Q: Given the points M(-3,-4) and T(5,0), find the coordinates of the point Q on the directed line…

A: Q divides the line segment MT in the ratio of 1:3let the coordinates of the point Q be (x,y)

Q: Write the coordinates of the vertices after a dilation with a scale factor of 5, centered at the…

A: Dilation in mathematics means shrinking or enlarging a figure by a specific scale factor but it does…

Q: Find the length of the graph of  6xy=y4+3 from y=4 to y=5

A: To Find: Length of the graph of6xy=y4+3 from y=4 to y=5 Concept: Length of the…

Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

A:

Q: given the points M(-3, -4) and T(5, 0), find the coordinates of the point Q on the directed line…

A: according to given problem Ratio given 1:3 We will use here section formula which states that: If…

Q: Graph the image of ALMN after a reflection across the line y = x. 10 9. 14 2. -10 -8 -4 -2 101 2 4.…

A: The rule for a reflection across the line y =x is x,y→y,x.

Q: 4) Find AM in the parallelogram if PN = 15 and AO = 6.

A: Our Aim is to find the length of AM in the parallelogram if PN=15and AO=6.

Q: Find the distance d between the following pair of points. (-1, –3), (-9, 6) d =

A:

Q: Find the perimeter of ADEF wit vertices D(3, 2), E(4, 2), and F(3,-2). 61 4- 3. 2 6-5-4-3 -1 1 234…

A:

Q: Find the equ. nf line through the Pont (-2,3,4) and Parallel to Planes: 2X+3y +42=5 3X + 4Y+52=6…

A:

Q: Find all points on the x-axis that are a distance 5 from P(−2, 3)

A: Given,P (-2, 3) and distance,d = 5

Q: Find all values of x so that the triangle with vertices A(-3,-4, x), B(0, -4, 0), and C(-1,-3,-2)…

A:

Q: Find all points on the x-axis that are a distance 5 from P(−2, 4)

A: Given,           All points on the x-axis that are a distance 5 from  P(−2, 4)

Q: 2. Find the coordinates of the midpoint of the segment whose endpoints are H(2, 1) and K(10, 7). (8,…

A: To calculate the mid point of join of given points. To find the slope of the line perpendicular to…

Q: Draw the figure and find the image of the rectangle with vertices A(-4, 2), B(2,2), C(2, –2) and…

A: Here Given corner Points of rectangle  are by  A(-4,2) ,B(2,2), C(2,-2) and D(-4,-2) Here scale…

Q: Q3) Find the vertex E in the parallelogram ABCE with A(1, 0, 0), B(0,-1, 2), and С3, 2, 1).

A: Given three vertices of a parallelogram ABCE are A(1,0,0) ,B(0,-1,2), C(3 ,2,1) Let the coordinates…

Q: 14. For each of the following figures, find V+F- E, where V, E, and F stand, respectively, for the…

A:

Q: Find the distance from (-5,9, –12) to each of the following: 1. The xy-plane. Answer:

A: Given point :-  (-5,9,-12) To find:- Distance of given point to plane xy

Q: Family OF lines parring through (0, -4)

A: Given that family of lines passing through (0,-4). To find differential equation based on above…

Q: Find the midpoint of the segment GH given: G(7, -5) and H(9, -1).

A: Given data: The first point given is G(x1, y1)=(7, -5). The second point given is H(x2, y2)=(9, -1).…

Q: Show that KLPQ is a parallelogram for m = 14 and n = 12.5. (5m + 36)° (6n 1)° | (4m + 50)° K

A: Given, m=14, n=12.5

Q: Graph the image of trapezoid CDEF after a reflection across the x-axis. 104 8. 6. 4 2 -10 -4 -2 0.…

A: If a co-ordinate (x,y) is reflected across the x-axis, the new co-ordinate will be (x,-y).

Q: Graph the image of rhombus EFGH after a reflection across the line x = 2. G. 10 8 9. H. 4 10 -4 -2…

A: When a point is reflected across the x = a line, the y-coordinates remain the same. But the…

Q: Find the vertices and the area of the triangle formed by the graphs of y=|x-3| and -x+2y=5?

A:

Q: Find the distance d between the following pair of points. (3, 8), (6, 4)

A: Here we find distance d between the pair of points 3,8 and6,4

Q: 3. Find the surface area of the parallelepiped with adjacent edges u = (4, 7, -8), v = (-2, 5, 11),…

A: Solution :18

Q: Find the area of the polygon PQRS with its vertices at P(1, – 1), Q(6, -1), R(6, -6), and S(1, -6).

A:

Q: Find the total length of the graph of the astroid x2/3 y2/3 = 4.

A:

Q: Find all points on the y-axis that are a distance 6 from P(5, 3).

A: P5, 3 is at a distance of 6 units from the y-axis

Q: 5) Identify the segment bisector of S a) x+ 12 Bx-2

A:

Q: Find the per pendicualar olistace from the P (5,6) to the line -2xr+3Y+4=0.

A: Formula for perpendicular distance is as below : Given :-2x+3y+4=0Ax+By+C=0A=-2B=3C=4 Point  (m , n…

Q: Find the cоттоn points of the circles (x + 1)² + (y – 1)² = 5 and x² + y? = 1.

A: Common points of the circles simply means the point of intersection of the given circles.

Q: Give another name for Plane N. * D

A:

Q: Write the coordinates of the vertices after a dilation with a scale factor of 5' E, centered at the…

A:

Q: (a) Find the area of the parallelogram spanned by u -1 and i =

A: Area of parallelogram spanned by two vectors u→, v→ is the magnitude of the cross product of the…

Q: Find the distance between the following pairs of points. (0,12) ,(5,0)

A: 0, 12  &  5, 0

Q: 6- 4 -10 -8 -4 -2. 4 6. 10 -2 -4 8- -10 Q' = (| %3D R' = %3D S' 00 2. 6. 6.

A: dilation with a scale factor of 2, therefore we multiply by factor 2 to each term of co ordinate…

Q: Consider the following: (5/2,1), (-9/2, 8/3) Find the distance between these points.

A:

Q: (a) If C is the line segment connecting the point (x,, y,) to the point (x,, Y½), find the…

A:

Q: 4) Which of the following pairs of points define a line segment parallel to the x-axis? O(4,3)(-4,3)…

A: We have to identify the line segment parallel to x axis.

Q: Suppose a triangle with the vertices (–1, 4), (–1, –2), and (2, –2) were dilated, with the center of…

A: Given  The triangle with the vertices (–1, 4), (–1, –2), and (2, –2) . Scale factor is 2 Dilation is…

Q: Find the length of segment LM for the given parallelogram below. x+13 2x +4

A: Given that       LMNK be a parallelogram. LM = 2x+4  and NK= x+13 Here we have to find the length of…

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.