20. Consider lines €1 and l2. l1 : [x, y] = [1, 4] + [[-7, 2] l2 : [x, y] = [-2, 6] + t[k, 9] a) For what value of k are the lines parallel? b) For what value of k are the lines perpendicular?

Q: Let A = 4a, + 2a, — а, and B 3D ӕa, + Ba, + За, (a) If A and B are parallel, find a and ß (b) If A…

A:

Q: 4. Determine the slope-intercept form of the line from the two points on the line. a) (3, – 1), (-6,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 9. The points (1, 2), (5, A), (A, 7) lie on a straight line. Find all possible values for A.

A:

Q: 30) The coordinates of the endpoints of line segment CD are C(–4, 1) and D(3, 4). Reflect the line…

A: x-axis is also known as the principal axis . The y-coordinate of the point that lies on x-axis is 0.

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,…

A:

Q: Evaluate the fraction

A: 1. Given: vu=u+8 To find: v-3t+10 Solution: We have vu=u+8 v-3t+10=-3t+10+8=-3t+10+8=-3t+18…

Q: 7. A line connecting the points (x, 19) and (3,11) has slope 0.8. a) What is the missing coordinate,…

A:

Q: - 7x - 12) is simplified?

A: here after the simplify we get the True option is A

Q: Find k so that the line through (– 3,2) and (k,4) is a) parallel to 5y- 2x = 1; b) perpendicular to…

A:

Q: 1. Find the value of c so that the lines 5x+cy = 4 (A) c = -3 (B) c=15 x-3y=9 and x- (C) C=-15 (D)…

A:

Q: Q2) Find the slope of the straight line L1 that passes through the points P1 (0, 6) and P2 (5, 2),…

A: In the given question we have to find the slope of two lines and also tell about that are they…

Q: 215- Find the Line that passes throug h the point (1,2) and through the point of inter Section of…

A: Given the line passes through the point (1,2) and point of intersection of lines x+2y=3 2x-3y=-1

Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: determine if the two lines are parallel, orthogonal or neither. n) The line by i=(4– 7t,-10+5t,21–…

A: Given

Q: 30) Use slopes to determine if the opposite sides of the quadrilateral parallel. are A(0, 2), B(3,…

A:

Q: Q)Suppose that one line is parallel y=13x+ 13 and passes through (15,7). Where does that line cross…

A: Given :  y=13x+ 13  compare with y = mx + c slope m = 13

Q: 35. If the distance between the points A(-2,4) and B(x,-8) is 13, what are the possible values of x?…

A: distance AB =(-2-x)2 +(4-(-8))2 13 = (-2-x)2 +144 169 (-2-x)2 + 144 (-2-x)2  = 25 -2 -x =+ 5 -2 -x =…

Q: Let l1 : (x, y, z) = (131, 89, −83) + r (42, 28, −28) where r ∈ R and l2 : (x, y, z) = (29, 21,…

A: LetandShow that the lines  and  are identical.

Q: In the diagram below, ZTSU If ST = 13x 12 and VU S 14 16 T Cannot be determined 2 - = U LUVT and…

A:

Q: 25. (17,-7) (-8, 11) Parallel: Perpendicular:

A:

Q: Express u= (15,46) as a linear combination urv + sw, where v (3,9) and w(4.13). (Use symbolic…

A:

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

A:

Q: . Which three points are on the line L: r = (2,-5)+s(2,1), s € R? a. Q(2,1), 0(6,-3), R(2,-5) b.…

A: Explanation of the answer is as follows

Q: Find the slope and the y-intercept of the line from the equation. b) y= -1.5x + 2 c) y=-x-0.5 a) у-…

A: As per the company guidelines we can solve three parts of question. I hope that the given solution…

Q: 45. Which statement best describes the relationship between lines M and N? y (2, 7) A (3, 5) (1,4)…

A: From given figure it's clear that

Q: 8. For each pair of lines and m below determine whether the lines intersect, are parallel or…

A: Please see the below pictures for detailed solution.

Q: Q6: Determine whether AB is parallel or perpendicular to CD whe a) A(0,-1): B(1,1) ; C(1,5) D-1,1)…

A: to check the lines are parallel or perpendicular

Q: - Classify the following lines as parallel or perpendicular or neiti a- y=4x-7 & y=4x+9. b- y=-5x+1…

A: Given: a. y=4x-7  and y=4x+9b. y=-5x+1  and y=3-5xc. y=12x and x=12y Concept Used: Two lines are…

Q: Which line is the same as [x, y] = [1, -8]++[4, −3]? a) [x, y]=[2, 4]++[4, -3] b) [x, y]= [1,…

A:

Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…

Q: 38. Given two lines, determine if the lines intersect, if the lines are parallel, or if they are…

A:

Q: 13.) Which line is perpendicular to 3x + 2y = 6? a. 4x - 6y = 3 b. y = -3/2x + 4 c. 2x + 3y = 12…

A: Given: 3x+2y=6 To find the perpendicular line of the given line first, solve for y,…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.