2. Show work to determine if the points A(1, –1,4), B(2, 1, –1), and C(4, 0,5) form a right triangle, isosceles triangle, or neither.

Q: Show that the triangle with vertices P(6, ; 7), Q(11, ; 3) and R(2, ; 2) is a right -angled triangle…

A:

Q: Show that the points A=(3,4),B=(1,1) ,and C=(-2,3) are the vertices of an isosceles triangle

A: We know, distance d between two points (x1,y1) and (x2,y2) is given by distance formula as:…

Q: Find the Perimeter and area of a trapezoid with vertices at A(2,3), B(6,3), C(0,-1), and D(8,-1).

A:

Q: Given W(-1,5,2), X(6,-2,3) and Y(-2,-7,-3), are points in 3D, then determine the area of…

A: To find the area of the parallelogram formed by two vectors

Q: If D is the triangle with vertices (0,0), (55,0), (55,49), then dA=

A: double integration

Q: Prove that the points M(2, 5), N(12, 3), and O(10, 11) are the vertices of a right triangle

A: Given the points

Q: A) Find the measures of the angle between the diagonals of the rectangle whose vertices are:…

A:

Q: ( , s) Let A = (-1,3) and B = (2, 4). Find the set of points C such that the area of triangle ABC is…

A:

Q: Let points A; B , C , and D in R3 have respective coordinates (1, 2, 3), (−2, 3, 5), (0, 3, 6), and…

A: Given: A(1, 2, 3), B(−2, 3, 5), C(0, 3, 6), D(3, 2, 4)

Q: (b) Find the area of a triangle with the points A(1,0, 0), B(0,1,0), C(0,0, 1) as it vertices by…

A: (b) We have to find area of triangle with the points A1,0,0 , B0,1,0 and C0,0,1 by using cross…

Q: 2. Determine what type of triangle does the vertices P, (1, 3) P2(4,0), and P3(-3,-7).

A:

Q: find The angle of the triangle whose vertices are C(1,-2, 2) Points AC-1,0,2) B (2,1,1) A B

A:

Q: Find the area of the triangle with vertices P(1, -1, 0), Q(2, 1, -1), and R(-1, 1, 2)

A: Triangle with vertices P1, -1, 0, Q2, 1, -1 & R-1, 1, 2.…

Q: Show that A(-3, 1), B(1, -1), C(4, 1), and D(3, 5) are vertices of a trapezoid.

A: Given vertices are A-3,1, B1,-1, C4,1 and D3,5. To show the vertices are of a trapezoid. Solution:…

Q: V The coordinates of A,B,C, D are (6,3),(3,5) (4,-2) & C, 32) sespectively and A DOe %3D A AB C of…

A: Using coordinates area formula for ABC A =1/2{ x1(y2-y3)+x2(y3-y1)+x3(y1-y2) Substitute the values…

Q: Show that the points A = (3, 4), B = (1, 1), and C = ( - 2, 3) are the vertices of an isosceles…

A: Given: Points are A = (3, 4), B = (1, 1), and C = ( - 2, 3)

Q: 7 B 3 A 2 2 3 -1 -2

A:

Q: Consider the points A: (3, -3, 1), B: (0, 3, 2), and C: (-4,2,0). Find the area of parallelogram…

A:

Q: Which of the following is not a 2 -dimensional shape? (a) Triangle (b) Circle (c) Sphere (d)…

A: Which of the following is not a 2- dimensional shape?

Q: Find measures of the angles between the diagonals of the rectangle whose vertices are A = (1,0), B =…

A:

Q: Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respectively, the…

A: Given problem:- Suppose that A, B, and C are vertices of a triangle and that a, b, and c are,…

Q: Consider a quadrilateral with vertices D(0, 0), J(5, 5), N(8, 4), and G(7, 1). Determine the most…

A: We have to draw the given quadrilateral also find the type.

Q: 2. Write the image points for Ry-1(ABCD) = A¡BICIDI. y A'( B' ( C(

A: In the question for the given figure it is asked to show the mirror image of the rectangle ABCD with…

Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

A:

Q: Consider a triangle with vertices A(1,0,0), B and C. Assume that • A : 1 • BC is parallel to the…

A: Given: A triangle with vertices A(1, 0, 0), B and C. BC is parallel to the y-axis and ||AB||=3

Q: 2. B C. a. Which pair(s) of planes intersect? b. Which planes intersect in RS ?

A: 2 a.  The pairs A,C and B,C are the intersecting planes. The planes A and C intersect as; The planes…

Q: EXERCISE 4.1 Given the three points P₁ = (10,−5, 4), P₂ = (8,−4, 3.2), and P3 = (8, 4, 3.2), derive…

A:

Q: 7. Find the measures of the hyperbolic angles of the Euclidean square with vertices (0, 1), (0, 2),…

A:

Q: 4. The cocrdinates of the vertices of a triangle are M (-1, -3), A(7.5), ond Y (7. -2). What is the…

A:

Q: Given that C is midpoint of AB, if A(-2,4) and C(3,-6), what are the coordinates of B

A: To find the coordinates of B

Q: Mr. Tanner's construction class is studying the construction of roof trusses He taught them that the…

A: According to the question , the correct figure must , have two right angle Figure 1Right angle…

Q: 10. What is the midpoint of the longest side of the triangle with vertices A(1, 4), B(3, 4) and C(3,…

A: first we will draw the triangle then find the mid point of the larger side

Q: Let A be the triangle with corners at (4,-2), (-4,-2), and (-4,3) List the corner points of triangle…

A: To find the corner points of the new triangle A formed.

Q: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

A: Two vertices of equivalent triangle are 0, 0  and  2a, 0. Clearly, the distance between 0, 0  and…

Q: Find the circumcenter and circum-radius of the triangle whose vertices are (0,0),(8,0) and (0,6).…

A: The given vertices are 0,0,8,0 and 0,6.

Q: If D is the triangle with vertices (0,0), (82,0), (82,37), then dA=

A: Solved below

Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (1,…

A:

Q: Are these points collinear? a) A(-1, - 2), B(3, 2), and C(5, 5) b) D(a, c-d), E(b, c), and F(2b - -…

A: If the points are colinear then the slope of the lines making with the points are same. Find the…

Q: Show that the triangle with vertices A(0, 0), B(1, √3), and C(2, 0) is equilateral.

A:

Q: Prove that the points A (2,15), B(1,6) and C(6,-9) are collinear.

A: To prove points are collinear find distances between every pair of two points and if any distance is…

Q: 1. Identify the coordinates of the two points at the ends of the line segment. Then, draw a right…

A: Given plot, To identify coordinates of A nd B. And to draw a triangle on the grid where line…

Q: Show that the triangle whose vertices are P(2, - 1), Q(-6,- 3), and R(10,7) is isosceles. Find the…

A: Distance between two points A(a, b) & B(c, d) is given by AB=(a-c)2+(b-d)2

Q: Let points A: (6, 10, 7) and B = (4,7, 1). Find points C and D that make ABCD a square.

A:

Q: Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a…

A: Given that: (1, 5), (6, 10), (0, 16)

Q: 2. Give the rectangular coordinates of the point C(p 5, 6= 120°, = 3).

A:

Q: Show that the points P(3,3), Q(8,17) and R(11,5) are the vertices of a right triangle.

A: We have given three points P(3, 3), Q(8, 17) and R(11, 5). First, find the distance between them…

Q: In AXYZ, mzY = 48, and mzX < mzY. Write the sides of the triangle (XY, YZ, and XZ) in order from…

A:

Q: B. Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3) 2.…

A: 1. A2,1, B3,-5, C1,-32. P3,0, Q6,4, R-1,3

Q: Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on directed line segment…

A:

Q: 3. Evaluate y dA, where D is the triangle with vertices (2,0), (1,2), and (0, 2).

A: The question is from Advanced Calculus

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.