Find the distance between each pair of points. (a) (-4, 0) and (0, 3) (b) (-2, 6) and (4, -2) (c) (6, 3) and (8, –3) (d) (0, a) and (b, 0)

Q: A laser beam shines along the ray given by r(t) = (5.1.7) + (5,3,-2) for t≥ 0. The second laser beam…

A:

Q: Find the values for c1, c2, and c3 to make sure that: c1 (10, 25, 1) + c2 (-15, 5, 0) + c3 (5, 0,…

A:

Q: X-2y=1;(  ,-2),(7,  )

A: The given function:

Q: X+X+y if x = 9 and y = 3

A: Given data is x = 9 and y = 3   find x + x + y = ?

Q: You're meeting a friend for lunch. You live at (3,8) and your friend lives at (-6,2). Your favorite…

A:

Q: the constants c1 and c2 such that: (3;5)=c1(1;-2)+c2(2;-3)

A: Given (3;5)=c1(1;-2)+c2(2;-3)

Q: -x + y2 = 3 and x + y2 - y = 0

A: Consider the given equations as,

Q: Find det(B)

A: Given that: det-1A-1=-5=detA3B-1T-1A-1=-5=A3B-1T As we know, detkM=kndetkM and detM=1detM-1. (Here,…

Q: 7 Tom's school is located at S (-5, 3). He uses the following translations to go to home: From point…

A: Given Tom's school is located at S (-5, 3).

Q: 2p2 – 7p = 14   p = (7 +  \/273)/4                             b.      p = (-2 +  \/14)/7   p =…

A: We have to simplify the expression 2p2-7p=14.

Q: Determine which ordered pair is a solution of y = -3x + 4 A. (5,-12) B. (3, 6) C. (-4,1) D. (2, -2)

A: Solution

Q: If (x2 - y2) = 10 and (x + y) = 2, find x and y.

A:

Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

A:

Q: Do the points (1, 5, −7), (1, 7, −10), and (1, 8, −13) lie on the sameline?

A:

Q: Find a + b, 2a + 3b, lal, and la - b|. a = (4, –3), b = (-2, 5) a + b = (9,2) (2,9) 2a + 3b =

A:

Q: Martha is visiting New York City for the first time. Her hotel is on 6th Avenue, which is at point…

A:

Q: x+y+z = -3 : 2x - 2y-z = -7 -3x + y + 5z = 5

A: The given system of linear equations:x+y+z=-32x-2y-z=-7-3x+y+5z=5

Q: Given the intercepts (0,-15) and (5,0)

A: Given intercepts: (0,-15) (5,0) To determine: Equation of the line passing through the given…

Q: If F is the point (- 3, 5) and G is the point (0. - 4), then an equation of FG is: a. y = - x + 4 b.…

A: F is the point (-3,5) and G is the point (0,-4)

Q: 3x + 4y = 14, x = 2y - 12 Which point satisfies both equations? A. (-2,-2) B. (-2,5) C. (-4,4) D.…

A: Given       3x + 4y = 14  -----------------(1)       x - 2y    = -12 -----------------(2)…

Q: Plot the points:   A(-3, 5), B(2, -4), C(5, 0), D(-5, -3), E(0, 4), and F(0, 0).

A: Given Data The point are A(-3,5), B(2,-4), C(5,0), D(-5,-3), E(0,4), and F(0,0).   There are two…

Q: Find x and y. 一2 x -2.15 y 6 19 8 (x, y)

A: