Find the centroid of the shape with endpoints (0,0),(0,4),(-2,4).(-2,6),(2,6),(2,3),(4,3) and (4,0) A. y=65/22 B. y=22/65 C. correct value for y not among the choices D. x=13/11 E. x=11/13 F. correct value for x not among the choices

Q: Parameterize the line connecting the points P = (1, 1, 2) and Q = (-2,0,3).

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Q: Line segment t and line segment r are parallel. Both line segments are reflected across the y-axis…

A: We have to find the distance between line segments t' and r'

Q: Find the Cross product of A= and B=

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Q: Q5) if z = 1./(3+x.^2+y.^2), where x and y = -3:0.1:3, could you plot x,y,z as shown below: 0.3 0.25…

A: Given: z=13+x2+y2where,x=-3,y=1.3   Now plot the given function.

Q: 1. The line y - 6 = 2(x + 4) passes through which point? OA (-4,-6) O B. (4, −6) Oc( 4, 6) OD (2,6)

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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: Find an equation of the line through (-2, 5, 3) that is perpendicular to both u = (1, 1, 2) and the…

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Q: Find an equation of the line L.   L is perpendicular to y=3x through point (2,6)

A: Compare y=3x with y=mx+bSo, m=3Slope=3

Q: Find the distance between the points

A: Given,          The two points are A2,8 and B-8,2.

Q: 1. Which point could NOT be paired with (4, 3) to create a function? A. (0, 3) В. (3, 1) С. (2, 3)…

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Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0. %3D

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Q: 21. Reflect in the y-axis. 5- 4- 2+ х -2 -3+ -4 T'(2, 2), V'(4, 1), W'(5, 4), X'(0, 4) b. T(-2, -2),…

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Q: Rotate the point (2,5) by (3/5,4/5) around origin (0,0).

A: Given:  point A2,5Rotate by 35,45 around origin 0,0.…

Q: 6x Find -dA, where R is the parallelogram enclosed by the lines 4x – 3y 6x – y = 0, 6x – y = 9, – 4x…

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Q: Determine whether u= (-1, 11) is a linear combination of x =(1,3) and y=(2,-1).

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Q: Find the distance from the point (2, 2, 3) to the line x = 0, y = 2+2t, z = 3+ t.

A: Find the distance from the point (2, 2, 3) to the line x= 0, y=2+2t, z=3+t.

Q: e distance between 2u and-30.F

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Q: Find the distance from the point (2, 2, 3) to the line x = 0, y = 2 + 2t, z = 3 + t.

A: Given point (2,2,3)and line is x=0 , y=2+2t ,z=3+t.

Q: Let ū = (1, 2, -3, 0) and v = (5, 1, 2, -2) . Find the distance between 2u and -30. Round off answer…

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Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: Evaluate F. dr along the line segment C from Pto Q. F = -8 xi+5y j; P(-1,0), Q(7, 0) F. dr i

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Q: Ex which line is the better fit for the data (1,1), (2,3), (2, 2), (3,4), (3,5), (4,3) 1=X 4/2=2x~2.

A: The given data set is: 1,1, 2,3, 2,2, 3,4, 3,5, 4,3 The better fit for the data, i.e., the equation…