Show that the line of intersection of the planes x +y-z = -12 and 2x + 4y - 3z = -8 is perpendicular to the line ř = [3,−2,1] + t[1,1,−1]

Q: The line passes through (3, -5) and iş parallel to the line y = -2x + 9 * y = -3x + 7 y = -8x + 5 y…

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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: QR is located at Q(-5, -8) and R(-1, 3). Which pair of points would form a segment congruent to QR ?…

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Q: An equation parallel to the line 4x + 6y = 6 could be?

A: An equation of line parallel have slope same intercepts  different Given equation of line 4x+6y=6

Q: 5. Find the symmetric equations of the line passing through A (-1,-8, 1) and B(-1,-4,3).

A: The symmetric equation of a line passing through the points

Q: Determine which of the points (-5,5), (2, −2), and (−2,−1) lie on both the lines x₁ + 4x2 = = -6 and…

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Q: Which set of coordinates, when paired with (3, -3) and (10, -3), result in a square?

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Q: Find the number a that makes the point (6, a) line on the line that contains the points (−2, −1) and…

A: L

Q: Q5) Find the equation of the horizontal line that passes through (-9,5). Write the resulting…

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Q: Prove by any method(contradiction/contrapositive or cases) Prove that if a and b are positive…

A: Prove that if a and b are positive integers such that a|b and b|a, then a=b Let a and b are positive…

Q: 20) Find the distance between these (2) sets of points; (2, -5) & (-3, -10).

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Q: Find the distance between the points (−10-10, −14-14) and (−11-11, −8-8)

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Q: Determine the vertex of the function y=-2x2- 20x-51 O A) (2, -51) O B) (-5, -1) O C) (-2, -51) O D)…

A: Option (B) is correct.

Q: 1 4 If A= [3 -5 J then trace of A= %3D Select one: a. -4 O b. 1 C. 3 d. -5

A: The sum of eigenvalues of a matrix gives us the trace of the matrix and also we can find the trace…

Q: the y-intercept of (-7,-4) and (-5,-6

A: Given line passes through the points (-7,-4) and (-5,-6)

Q: Use the distance formula to decide whether the three points are vertices of a right triangle. 13. (…

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Q: ketch the surface

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Q: 21. Do the three lines 1 4x2 = 1, 2x₁ - x₂ = −3, and -x₁ - 3x2 = 4 have a common point of…

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Q: a. Determine if the three lines have a common point of intersection. -4x1 + 5x2 = 27, 2x₁ - 3x₂ =…

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Q: Find the distance between the point (-3,1) and the line 4x + 3y + 4 =0.

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