What are the new coordinates of the point (-14, -24) under the dilation (x, y) → (0.5x, 0.5y)? O (-14, -12) O (-7, -14) O (-7, -12) O (-7, -24)

Q: What is the coordinates of P₁ if (1,-2,8) is the midpoint between P₁(x1,1,Z1) and P2(-4,5,6)?…

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Q: Which of the points P = (-1,4,-7) and Q = (6,-1,5) is closest to the z-axis? OQ (6,-1,5) OQ (6,-1,0)…

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Q: dz 6. [0]. z-a

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Q: The lines y where = and y = MON 5x - 7 and y = 2x + 8 intersect at the point (x, y) N

A: To find the intersection of given lines.

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: Suppose that x 1 4 + y 1 4 = 2. What is y 00 at the point (1, 1)?

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Q: What are the points of inter section of y = 8 and f(x)

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Q: 3. (x +2 ) Ex²-4)

A: y=(x+2)3x2-4

Q: What is the point of intersection of the two functions? 12) y--3x-23 -2r+4y-6 A) (-2, 3) C) (-3, 2)…

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Q: Two points that lie on the line 5x-3y = 15 are (3, 0 O (5, -3) O (5,3) O (0,5) 0 (0, -5)

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Q: Find the midpoint between (6,7) and (6,-5)

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Q: Find the distance from (-2,-1) to (3,2)

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Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: Evaluate |(xy? + 4) ds where C is the portion of the line segment from (1,2) to (3,-4) and then from…

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Q: Ty Which point on the y-axis lies on the line that passes through point G and is parallel to line…

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