B. Verify if the right triangle formed by (-4,-2). (4,2). (4,4) by using the midpoint and distance formula.

Q: Find the distance between the points P = (1, 3) and Q = ( - 4, 2).

A: We have to find the distance between point P(1,3) and Q(-4,2)

Q: The distance d from the point (2, - 3) to the point (5, 1) is________ .

A:

Q: The midpoint of AB is at (-5,2). If A=(−8,6)), find B.

A:

Q: Calculate the distance between the points H= (-1,2) and B= (4,-3) in the coordinate plane. Round…

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Q: In which quadrant or on which axis is the point ​(0​,2​) located?

A:

Q: . Find the exact distance between P1 = ( - 1, - 7) andP2 = ( 2, - 1). Then approximate the distance…

A: We know that, the distance d between two points x1,y1 and x2,y2 is given as d=x2-x12+y2-y12…

Q: Plot two points that are both 3 units away from the x-axis and 3 units away from (5, 4). (Hint: Use…

A:

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

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Q: What is the size of the acute angle formed by the x-axis and the line 3x + 2y = 12?

A:

Q: 4. Use slope and/or distance formula to show that quadrilateral DUST is a square. D(-1,7), U(7,1),…

A: Given co-ordinate is : D=-1,7U=7,1S=1,-7T=-7,-1 Use distance formula having co-ordinate is x1,y1 and…

Q: The midpoint of AB is at (- 4, – 4). If A = (0, 4), find B. B is:(

A:

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

A: Nature of triangle is isoscelene

Q: Find the six trig values of (2, - 4) if it's a point on the terminal side of an angle in standard…

A:

Q: Find the distance from the origin out to the point (3, 24).

A: The origin is at (0, 0) and we have given a point (3, 24) To find the distance between these two…

Q: Find the distance between the points (distance formula) 5.(2a+c, 2d), (2b-c, 2c) 1.(3, 2), (4, -3)

A:

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

A:

Q: Find B if A is (-4,7) and the midpoint of the line segment AB is (0,1)

A:

Q: The distance d from the point (2, - 3) to the point (5, 1) is

A: Given: From (2,-3) to  (5,1) To find the distance

Q: Find the point P on AB that is one-third of the distance from A(-1, 2) to B(8, 5). y 10 8. P -10-8…

A: Given points A(-1, 2) and B(8, 5). To find point P which divides the line segment in the ratio 1:3.…

Q: . Show that if A = 3a, + 2a, - a,, B = 4a, - 8a, - 4a, and C = 7a, – 6a, - 5a,, then A, B an C form…

A: Given that: A=3ax+2ay-azB=4ax-8ay-4azC=7ax-6ay-5az

Q: Find the distance between points P, and P2. Pi(0,5, - 1), Р2(3, - 4,5)

A:

Q: Find the Exact and approximate distance between the two points (7,2) (11,5)

A: The given two points are (7, 2) and (11, 5) The distance formula is given as:

Q: Find the distance between the points (1, −7) and (4, 2).

A: To find the distance between the given points

Q: Calculate the distance between the given points and determine if they are collinear. A = (6, 2, 1),…

A:

Q: Find the distance between the points A(2, 5) and B(4, -1).

A: The distance d between two points x1,y1 and x2,y2 is given by; d=x1-x22+(y2-y1)2  Therefore the…

Q: What is the distance between the points A: (-2, -4) and B: (-4, -2)? O 2/2 O 4 O 62

A:

Q: Find the coordinates of the midpoint of the segment that joins the points a) (a, 0) and (0, b). b)…

A: Givena a, 0 and 0, bb 2a, 0 and 0, 2bMidpoint =x1 +x22 , y1+y22

Q: Find the distance between the points: (3, 7) and (2, 12) ww.. A

A:

Q: Find the angle between the straight-lines 3x – 2y + 9 = 0 and 2x + y – 9 = 0 ?

A:

Q: Use the distance formula to find the distance between the two points: (7,3) and (15,3)

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Q: What is the distance between the points M(-3,1) and N(7,-3)?

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Q: The formula for the distance between two points is:

A:

Q: Is the triangle  acute,obtuse,or right

A:

Q: How would you use the distance formula to show that a parallelogram is a rectangle?

A: In case of parallelogram ABCD given below, It can be proven using distance formula that, AB=CD and…

Q: The midpoint of AB is at (-3,-2) if A= (10,-1) find B

A: Answer is - B = (-16,-3).

Q: :Do the points A(3,2),B(-2.-3) and C (2,3) from a triangle ? If so, name the type of triangle…

A: Use dot product to find angle A.

Q: Find the distance in between the point P(0, 2, – 4) and the point Q(3, – 2, – 3). -

A: Given:P0,2,-4 and Q3,-2,-3

Q: Find the coordinates of the midpoint of the segment with the given endpoints. 5)E (0, 4) and F (4,…

A: The mid point of a line segment divides the line into two halves. The coordinates of a midpoint is…

Q: Show that the two triangles are similar. Y

A:

Q: Solve for the value of x in the parallelogram below. 13 y + 8 2y + 1

A: The given sides of parallelogram are  13, (y + 8), (2y + 1) and x

Q: Find the coordinates of the midpoint of the segment with endpoints: R(12, 5) and K(10, 7).

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol…

Q: Find sides b & c of a special right triangle if x = 30° & a = ". 3y 2 Hippopotenuse Adjacent…

A: Given problem:-

Q: Calculate the distance between the given points and determine if they are collinear : A = (6,2,1),…

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Q: State the formula for the distance between (x1, y1) and (x2, y2).

A: Determine the formula for the distance between x1, y1 & x2, y2

Q: Find the distance between the points given. (1, 2)аnd (13, 7) (8, 15)and (-7, 23) (-15,–18)and (3,…

A: A line is generally an object in geometry that doesn't bend i.e. it has no curve. It is a collection…

Q: Determine the coordinates of the point P that divides the segment formed by A (1,6) and B (7, -2) in…

A: The detailed solution is as follows below:

Q: Find the angle between the following straight lines 3x+5y=7,2x-y+4=0

A: