Consider the points P=(20,n,21) and Q=(10,0,10). n < 0 y ||PQ|| = V230 %3D If it holds that then it is true that: a) PQ = (-10, –3, –11) b) PQ = (10, 3, 11) c) PQ = (10, –3, 11) d) PQ = (-10,3, –11)

Q: find the midpoint for A( 7 , 1 ) B( 5 , -5 )

A:

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

A:

Q: Let p(-1, y, 2) and Q(2, 0, 4) if the length of PQ is SQRT2 find y

A:

Q: 2) xe-X dx 0. A) -Se-7-1 B) -8e-7+1 C) -6e-7+1 D) -8e-7

A:

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: What is the distance from P(2,4) to 2x-3y+1=0?

A:

Q: Find the mid point for A( 1 , 2 ) B( 7, 8 )

A: Mid-point for the given points is- a=x1+x22,b=y1+y22 where a &amp; b are the mid-points, and,…

Q: Consider the LP problem below: Max P= 12x + 10y Subject to: 4x+3y =0 Which point is the…

A: Given: To find - Intersection point of,

Q: • r : (x, Y, z) = (7, 8, 2) + X(-3, –8, 2) %3D 7 – x y – 8 - x y – 8 2 – z • S : -7 -6 4

A: Given query is to find the angle between two line.

Q: Q3/ plot the points A (0, 1), B (3,2), C(2,1) and D(-3, 0) and determine wether or not ABCD is…

A:

Q: Which 2 points are on the line (x,y) = (3,7) + k(-1,2), k E R Select one: (-1, 2), (3, 7) (3,7), (2,…

A:

Q: write an equatun q the une passes through (4.5, -li6) and' is per pendiaular to he wie dyfined by 5x…

A:

Q: The line containing the median of the trapezoid whose vertices are R(-1, 5) , S(1, 8), T(7, -2), and…

A:

Q: 4. A right triangle has vertices (-2,5), (-2,–3) and (4,-3). Find its area and perimeter. does -8 .7…

A: Given : Triangle of co-ordinates (-2,5) , (-2,-3) and (4,-3)Side length of triangle:a=8   b=6   so…

Q: Find the distance from the point (-4,-6,4) to the line a(t) = ( – 5, 1, − 3)t + (− 7, — 4, 7) FORCYY

A:

Q: find the midpoint for A( 9 , 5 ) B( 17 , 4 )

A: Given : To determine the midpoint for A9,5 and  B17,4

Q: #X-N, (M. E) where QX)-2X +3X;-2X,x, Find M.

A:

Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: If P = (-1,4) and Q = (4, –1), find the coordinates of PQ PQ =

A:

Q: Is the ordered pair (4, 7) a solution to which equation O 3x + 4y = 4 O 3x = -4y+ 4 O y = 3/4x + 4…

A:

Q: Find the distance d from the point P = (6, 1, 4) to the line r(t) = (4 + t)i + (1 + 2t)j + (1 +…

A:

Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: What is the distance between the points M(-3,1) and N(7,-3)?

A:

Q: Find the per pendicualar olistace from the P (5,6) to the line -2xr+3Y+4=0.

A: Formula for perpendicular distance is as below : Given :-2x+3y+4=0Ax+By+C=0A=-2B=3C=4 Point  (m , n…

Q: Q2) Find the least -5quaras line y=fca) = Ax +B for the following data 2 2. -1 2. 3.

A: