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: Find the length of line segment x and y. 77 409 350 15 m D. Fig.6-04

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Q: Guide Plot. label and connect the following coordinates F (-5, -4), G (-2, 4) & H (3, -4) on the…

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Q: 3. Find PQ rounded to the nearest tenth. (Hint: use distance formula)

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Q: Suppose a triangle has the following vertices: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0) What…

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Q: C (7, 10) What is the distance between the points with coordinates (10, 3) and (2,-1)7 A. 68 grid…

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Q: 2. The x- and y-axes divide the coordinate plane into four regions called

A: Given: The x and y axes divide the coordinate plane into four regions

Q: 52.The parallelogram A B C D is placed such that : A (5,2), B (9.5, 8), C = (xc, Yc), D (xd ,Yd).…

A: Given information:The parallelogram  with the vertices  and .It is provided that the distance…

Q: 7. Find the distance from the point A to the line through the points B and C where A, B, and C have…

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Q: 6. Convert the rectangular coordinate (2, -2, 5) to (p, 0, p).

A: To conveert the rectangular coordinates  to sphericalcoordinates .

Q: Suppose a triangle has the following vertices: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0)…

A: As per the question we are given the following 3d coordinates of a triangle as : v1 = (-2, 3, 6) v2…

Q: Find the distance d between the points (1, 3) and (5, 6).

A: Our Aim is to find the distance between the points (1,3) and (5,6).

Q: Show that the lines 2x+3y-2=0, 3x-2y+23=0 and x-5y+12=0 are the sides of an isosceles triangle. Find…

A: Plot the given 3 st. lines and mark the intersection points forming the triangle.

Q: 1. Which points lie on the line 3x – 2y = 12? а. (0, 4) b. (2, - 3) с. 3, d. (0, - 6)

A: Given: 3x-2y=12

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: . Rectangle GHU with verlices G(2, -1), H7.-1), K7.-4), and 12.-4): yex

A: We are given the rectangle with G(2, -1), H(7, -1), I(7, -4), and J(2, -4).

Q: Suppose a triangle has the following vertices: v1 = (5, 0, 2) v2 = (-2, 3, 6) v3 = (3, -3, 1) I…

A: As per the question we are given the 3d coordinates of a triangle as : v1 = (5, 0, 2) v2 = (-2, 3,…

Q: 8. Which coordinate grid shows a point 3 represented by (;, -3)? (6.18, 6.1E, 6.1F)

A: The given coordinate is ( -3/2 , -3) x coordinate is  -3/2  y coordinate is  -3 It means that the…

Q: 4. A line segment passing through (3, 4) and having its endpoints on the coordinate axes, forms a…

A: We have to find x coordinate of above question.

Q: 3 Q D -5 -4 -3 -2 1 -1 -1 3 4 C -3 -5 Consider the line segment PQ with endpoints P(-3, -4) and Q(2,…

A: solution of the given problem is below  ..