6. In triangle FGH, F(6,-1), G(12,4), H(15,-2) with centroid M and midpoints L, K, J midpoints of sides GH, FG, and FH respectively. Which segment is shortest and which segment is longest? ML MK MJ FM GM HM longest shortest

Q: 5. Consider the line segment AB shown below. The points A = (1, h) and B (5, 7) are equidistant from…

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Q: Let p(-1, y, 2) and Q(2, 0, 4) if the length of PQ is SQRT2 find y

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Q: 37. What is the distance between the points P(3, 5, -2) and Q(2, 3. 0) in space? 2 3

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Q: -3- Identify ALL the new coordinates of polygon ABCD after a translation of 2 units up and 4 units…

A: I'm providing hand written solution for better understanding. It's translation of coordinate…

Q: 20. Determine the angle between a = (5, 3, 0) and b = (-1, 0, 8) 21. The vertices of a quadrilateral…

A: Step 1: In order to determine the angle between a=(5,3,0)&b=(−1,0,8) lets use the dot product…

Q: the distance between the two skew lines L and L2. L: x=3+3t, y=-1-4t, z=4+2t. L2: x=6+5p, y=3-p,…

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Q: 11. In triangle FGH, F(6,-1), G(12,4), H(15,-2), M is a centroid andL is the midpoint of side GH,…

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Q: 7. Show that points (6, 1), (2, - 4), and (-2, 1) belong to an isoscles triangle.

A: 7. In this question we have to show that the given points belong to an isosceles triangle. Isosceles…

Q: Consider line segment PQ on the coordinate plane. Exit Ticket-4/30/21 Ifa student translates line…

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Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: 9. A rhombus is drawn in the standard xy-coordinate plane. The line 2x+y= 4 includes one of the…

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Q: 12. Triangle STU with verlices S-1,-6), 70.-3), and U3,-4): S': U': T'

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Q: 33. Sketch the diagram that you would use to find the magnitude of the sum of a and b if the angle…

A: 20. To find the angle between two vectors \(\vec{a}\) and \(\vec{b}\), you can use the formula…

Q: What is the distance between the point P(-2,5, 3) and Q(6, 4, -2)? | O 3/10 O 2v22 O 90 O 4/3

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Q: 7) Y 5. 4. Q D B 1. -1 -1 -5 -4 -3 -2 1 2. 3. 4. A -2 -3 -4 -5 Consider the line segment PQ with…

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Q: 27. Let ABC be a triangle with vertices A = (-3,0), B = (0, 6), C = (3, 0). Let P be a point on the…

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Q: Determine the distance between the point (8,-2,-1)and the line (x, y, z) = (-1,4,-3) + k(5,-4,-2),…

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Q: 2. Find the eanation of the plane Containing the point (2,3,3)'and the line Of intersÉCtion 'of the…

A: We have to find the equation of plane containing the point (2, 3, 3) and the line of intersection of…

Q: One of the endpoints of line segment AB is A(11,16). Determine the coordinates of point B if the…

A: LIne segment AB is givenA(11,16)midpoint M(52,92)To find: B(?,?)

Q: 2. Sketch the line = : (−2,−3) + t(3,4), and label 3

A: An equation of the formhas x-intercept a and y-intercept b.

Q: 8. Find the angles between the planes r + y = 1, 2x + y – 2z = 2

A: We will use direct formula to find the angle. The detailed solution is as follows below: