30. The slope of line / in the standard (x, y) plane is . Which of the following is an equation of a line that is perpendicular to line ? A. 3x + 2y = 5 B. 3x- 2y = 5 C. 2x + 3y = 5 D. 2x- 3y = 5 E. -2x + 3y = 5

Q: Construct a line perpendicular to the line below through point W. W

A:

Q: Q10)The two lines L1: x=3-2t, y=4+t ,z= 6-t and L2: x=5-4t, .y=-2+2t, z=7-2t are parallel

A: 10) The equation of the line x=3-2t t=x-3-2 y=4+t t=y-4 z=6-t t=z-6-1

Q: Is there a value for k that would make the line between the points (k,2) and (3,8) horizontal? If so…

A:

Q: Show that the product of the perpendicular distances from the origin to the pair of lel la-b) + 4h?…

A:

Q: 1. Show that the lines having the equations 4x- 3y + 12 = 0 and 8x 6y + 15 = 0 are parallel.

A:

Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel.

A: According to question,Given equation of lines,4x - 3y +12 = 08x - 6y +15 =0

Q: (1) What is the relationship between the lines L1 and L2? where ) L1:x = 1-t, y = 4 +t, z = 2+3t…

A:

Q: 7. Three teammates from a local soccer club are practicing passing in triangular pattern as shown in…

A: It is given that three players AB and C are playing in such a manner to form right angle triangle…

Q: When is the line ax+ by = c parallel to the y-axis? To the x-axis?

A: ax+by+c=0        When a=0, then the line equation becomes               bx+c=0…

Q: Given that the standard from of a line is Ax +By =Upper C Upper B not equals 0 what is the slope of…

A: The given equation of straight line is

Q: 8 What is the slope of the line perpendicular to tne line represented by the equation 2x+4y = 12?…

A:

Q: 17. Is the line x = 21 - 1, y = -3t, t e R perpendicular to the line shown below? y 4. 3 2 + -5 -4…

A:

Q: 2) Determine whether the lines 1: x = 1+ 2t, y = 3t, z = 2 – t and l2 : x = -1+ s, y = 4 + s, z…

A:

Q: Find the distance from the point (2, 1, –1) to the line z = 2+ 2t, y = 1+ 6t, z = 3. Lütfen birini…

A:

Q: (a) Show that the lines 2x − y = 5 and 6x − 2y = 12 are not parallel. slope of 2x − y = 5     m1 =…

A:

Q: 15. Find the angle between the straight lines I, and l, which are defined by x-2 y+1 =1-z. 4:x=1+2t,…

A: The angle is, 85.75°  The detailed solution is as follows below:

Q: 2. Draw a line that is perpendicular to segment XY with point A, not on the segment A.

A: Solution

Q: 4. Determine the intersection of lines:L = aund LzX= とz 11 >\J

A:

Q: 23. The distance from a point (2, y) to the line 4x + 3y =0 is equal to 5. Find the value of y. O…

A: Given that the distance from a point 2,y to the line 4x+3y=0 isequal to 5. We need to find the value…

Q: Find the equation of the line that intersects the lines 2x + y – 1= 0 = x – 2y + 3z 3x – y + z + 2 =…

A: We have to find the equation of the line that intersects the given lines and parallel to the line…

Q: 3- The line jaining the origin and Point_of intersection of the linesr(X=l+2t_ ys-3+4Ł,2=t) aul (x-…

A: Given that: Lines are: L1: (x=1+2t, y=-3+4t, z=t) and L2: (x=-2+3t, y=-5+3t, z=-12+34t)

Q: Determine the value of x so that line { will be parallel to line m. 1/2 3 /4 5/6 7/8 me1 = + as) 45…

A: Given- m∠1=x2+45° and m∠5=3x4° To Find- The value of x so that the line l and m are parallel to…

Q: What is the slope of the line perpendicular to the line whose equation is given by - 3y = - 6 x + 9?…

A: Answer

Q: A line with slope m passes through points (p, q) and (r, ?_).

A: The complete statement: A line with slope m passes through points p,q & r, ?

Q: 9. Are the lines parallel, perpendicular or neither. Show work. 4. y3-x+2 3 3x+4y = 4 %3D

A:

Q: Explain why the lines below are parallel. l: (x, y, z) = (2, 3, 4) + n(1, 2, - 3) and (2: (x, y, z)…

A: l1 : x, y, z=2, 3, 4+n1, 2, -3l2 : x, y, z=3, 7, -2+r-1, -2, 3 Here, The direction ratios of l1 are…

Q: Find the distance between the following paris of parallel straight lines  9x2-6xy+y2+18x-6y+8=0…

A: To the distance between the following pairs of parallel straight lines  The given pair of line…

Q: What is the value of such that the lines 3kx + 8y = 5 and 6y - 4kx = -1 are perpendicular and 3kx +…

A:

Q: 258. Are the lines of equations and x = −2+2t, y=-6, z = 2 + 6t x= -1 +t, y = 1+t, z=t, t€ R,…

A:

Q: Suppose L, is the line through the origin in the direction of u and L2 is the line through the point…

A: We are given two lines L1 and L2 in 3d, and we have to find the closest points x1 , x2 such that the…

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: Determine the slope of the line that contains the glv points. 1. E(-5, 6), Z(4, -3) 1. 2. Y(-1,-12),…

A:

Q: If c>+, how many lines through the point (0, c) are normal lines to the parabola y = 3x2? normal…

A:

Q: 4) Evaluate , -dz, where y is the line from 1 → 1+ i

A: In complex integration, we have to convert our given question into complex terms. But in our…

Q: 20. Consider lines €1 and l2. l1 : [x, y] = [1, 4] + [[-7, 2] l2 : [x, y] = [-2, 6] + t[k, 9] a) For…

A: We know that two lines are parallel if their slope are equal and perpendicular if the product of…

Q: Construct a line parallel to a given line through a given external point. * R A

A:

Q: Determine if the lines ℓ1: x − 9 = −t, y + 4 = 3t, z − 9 = 3t and ℓ2: x − 1 = s, y − 4 = −s, z − 9…

A:

Q: 12. For the two non-parallel straight lines L:2x- 5y+ 21 = 0 and L: 3x+y+6 = 0, find the coordinates…

A: Consider the following: Line-1:  2x−5y+21=0Line-2:     3x+y+6=0 At intersection point: L1=L2…

Q: The slope of line I is x, and the slope of line m is x +2. If llm, what is x?

A: Perpendicular lines have slopes that are the opposite of the reciprocal of each other. in given…

Q: If a slide, a tetherball, and a swing are all 20 feet apart in a park, where could a water fountain…

A:

Q: Find the point of intersection of the lines r;(t) = (-1, 1) + t(8, 4) and rɔ(s) = (2, 1) + s(8, 6)…

A: Consider the given lines in polar form. To find the intersection points equate the x and y…

Q: If the point (4, 1) is the midpoint of the line PD , where P (x, 3),  D (7, y)   ,  find the value…

A:

Q: If c > 5, how many lines through the point (0, c) are normal 29 lines to the parabola y = x²? What…

A:

Q: 3) Determine the point(s) of intersection of the lines L₁: (3,1,5) + s(4,-1,2) and L₂: x = 4 + 13t,…

A: Given

Q: 1. Find the slope of the line passing through the points (-3, 6) and (9, –3). 1 4 O 3 -- 4 1 2 3 2.…

A: Slope of the line = changes in y/ changes in x.

Q: 2) 3 Consider the line y = -x + 5. Write the equation of the line perpendicular to the given line…

A: Now comparing this line with y = mx+c, we get

Q: 11b) Are the two lines perpendicular? Show work y (+5,6) 4 (1, 3) (-5, 0) 4 (-1,-2) 6.

A: Given,

Q: Evaluate ydx + yedy + (y + 2)dz where C is the line segment from (1, 1, 3) to (4, 4, 6).

A: We find the integration of given function.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.