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: Which option is the answer

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Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: 5n -) in different ways. 4 Complete the ordered pairs to name the point (2, r>0 and 0 0 (-2, + )

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Q: + 4x-21- 27. What are the x-intercepts of the graph of R5)--x- 20 A. 7, -3 B. -4, 5 C. -7, 3 D. 4,…

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Q: Find an equation for the line in the form ax + by = c, where a, b, and c are integers with no factor…

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Q: A line passes through the center of a circle and intersects it at points (-1,2) and (5,10). What is…

A: equation of line passing through points (x1, y1) and (x2, y2) is:  y-y1=y2-y1x2-x1(x-x1)    Equation…

Q: 3. Rectangle PQRS with P(4, 0), Q(3, -3), R(-3, -1) and S(-2, 2); translate . =-'43

A: Consider the vertices of the rectangle PQRS with P4,0, Q3,-3, R-3,-1, and S-2,2. Draw a rectangle…

Q: If a triangle has vertices (-5,-5), (-4,-6), and (-2,-1), how do you reflect this over the y=x axis

A: First of all to find the coordinates of the vertices A(-5,-5),B(-4,-6),C(-2,-1) after reflection…

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

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

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Q: 9) A line segment has endpoints at A(-4. 11) and B(2,3). Which of the following would be the…

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Q: iv) through (1, 6) and parallel to y = 4x - 6

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Q: 2. Diagrom shows the parallel lines DA and BC. a Find the equation of the straight line Bc. b) Find…

A: slope of AD=slope of BC

Q: b) I = (x-8)² +2=y+3

A: Given that:To find: The value of x.Formula used:

Q: 3-) Find the equatin ot the family4 l lines in 3-5pa ce perpendicular to 2x-y+2=6.

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Q: If there are sides in a triangle which is 2x+3, 3x-1, 6x-11, what possible value of x?

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Q: The corners for a fence are located at A (11,3), B (3,-11), C (-13,-9), and D (-5,9). What is the…

A: Any point on the cartesian coordinate system is represented by the ordered pair: x,y. Start from the…

Q: A) Write the equation of the line PARALLEL to y + 3x = -8 and passes through (6,-4) Do NOT use the…

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Q: a.) (-3,4); parallel to y=3x-5 b.) (-2,-4); perpendicular to y 2/3x-5

A: (a).   The given equation of line: y=3x-5 Slope of line parallel to the given line is: m=3

Q: A water trough has an isosceles triangular cross section that is 55 m across the top and 12 m deep.…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: c =

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Q: what are the

A: Given: At a local mall , the arcade is located halfway between the food court and the movie theater.…