Given points A(1, 1), B(13, 9), and C(3, 7). D is the midpoint of AB, and E is the midpoint of AC. a. Find the coordinates of D and E. b. Use slopes to show that DE || BC. c. Use the distance formula ĮBC. to show that DE

Q: 2.4. What is the center and the radius of a circle given by the equation x² + y² + 4x – 10y + 20 =…

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Q: and L Determine the angle that the line with equation = (4, -5), te R, makes with the x-axis and…

A: To determine the angle that the line with equation,r=t(4,−5),where t∈R makes with the x-axis and…

Q: on touches, but does not cross, the t-axis. (

A: The given equation is

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Q: Given the points A(4, 6), B(r, 7), C(6, s). If B is the midpoint of AC, find the value of rand the…

A: Given: The points are A-4, 6, Br, 7 and C6, s. The midpoint of two points a, b and c, d is a+c2,…

Q: If GK =t+ 21 and IK = 3t - 21, find the value of t in parallelogram GHIJ. %3D I H. K t =

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Q: For P(-3,–1,0)andQ(-5,3,4), find the distance between P and Q rounded to the nearest tenth.

A: To find the distance between P and Q

Q: 1. Write the gtand ard equation of a circle given eenter (1,3) and point on the circle (-4,15),"

A: The general equation of a circle is given by . Where, -g, -f is the centre of the circle.

Q: In the diagram, A is located at (0, 0), G is located at (5, 4), and I is located at (8, 4). Find the…

A: Given points: A is (0,0) G is (5,4) I is (8,4) Let the length of AC be 2a. Therefore, AF = CF = a…

Q: Plot the following points and label them by the letters shown. Then plot the locations after…

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Q: Given points S = (2,4,-2), T= (-2,-2,1) and V= (5,1, -1), determine the coordinates of the point D…

A: The objective of this question is to find the coordinates of the point D on line ST that is closest…

Q: Trigonometry Question

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Q: Find the angle at which the circles x2 +y2 +x+y=0 and x2 +y2 +x-y=0 intersect.

A: The angle of intersection of the two circles is given by cosθ=r12+r22-C1C22r1r2where r1 and r2 are…