Example 4: Decide whether the following lines are perpendicular? Line j 3x +5y = -15 Line k 6y - 10x = 18

Q: Show that the lines 2r + 3y = 1 and 6r - 4y -1=0 are perpendicular.

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Q: 32. Which of these lines is perpendicular to the line 5y = -6x + 2? А. бу — -5х +3 В. бу — 5х + 3…

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Q: 2. (a) Find in standard form of the lines SE) = 3, m = 4 (b) Find k' so that the line through (2,5)…

A: Standard equation of line y(x)=mx+c , where m is slope of line , c is a constant value. Slope of 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: Consider two lines: l1(t)=⟨6+4t, 8−2t, 2+6t⟩ & l2(t)=⟨1+4t,3−2t,4+5t⟩ a)  Do they intersect? If…

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Q: Show that the lines 2 x+3 y-1 and 6 x-12 y-1-0 are not perpendicular

A: As we know that, if the product of slope of two lines are (-1)  then both the both lines are…

Q: Is there anything special about the relationship between the lines Ax + By = C1 and Bx - Ay = C2 (A…

A: Ax+By=C1 and Bx-Ay=C2 are the equation of two lines. We need to find the relationship between the…

Q: Find a question for the line with the given properties. parallel to the line x=2; containing the…

A: Consider a line having equation x=a. it is vertical line and slope of this vertical line is…

Q: Which of the following pairs of lines are perpendicular? Select all that apply.

A: For equation of line :y=mx+c slope = m   if two lines are perpendicular then  multiplication of…

Q: ne point and PERPENDICULAR to the given line. 8. (4, -1); y = 2r-4 %3D 10. (2, -5); x-4y = 20

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Q: Determine whether the lines 5x+3y =9   and -3x+5y=10  are parallel, perpendicular, or neither.

A: We know that  Two lines with the same slope are parallel. Two lines whose slopes have a product of…

Q: In the diagram, EF and AB are parallel. Line CD is a transversal.

A: Given that: EF||AB and CD is a transversal line.

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…

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Q: Show that the lines whose direction cosines are given by l+m+n=0,2mn+3nl-5lm=0 are perpendicular to…

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Q: Show that the lines whose direction cosines are given by 1+m+n=0 ,2mn+3ln- 5lm=0 are perpendicular…

A: The given direction cosines arel+m+n=02mn+3ln-5lm=0

Q: Is there anything special about the relationship between the lines Ax + By = C1 and Bx - Ay = C2 (A…

A: To check the special about the relationship between the given lines.

Q: Show that the lines 2 x+3 y-1 and 6 x-12 y-1=0 are not perpendicular

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Q: Give an example of a pair of perpendicular lines, neither of which is parallel to the coordinate…

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Q: Which of the following represent lines that bound the figure? Select all that apply. y = -5 y = -…

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Q: In Cartesian space, the point form of a line is e: (x, y, 2) = (2 + r, -3 + 2r, 5 5r). a) Find the…

A: In cartesian space, the point form of a line is  l : (x, y, z) = (2+r, -3+2r, 5-5r).   a) Find the…

Q: Whether the lines 3x+2y=6 and 2x-3y=6 are parallel or perpendicular

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Q: The line that is perpendicular to the lines r = ⟨4t, 1 + 2t, 3t⟩ and R = ⟨-1 + s, -7 + 2s, -12 +…

A: The given lines r→=j^+t4i^+2j^+3k^R→=-i^-7j^-12k^+si^+2j^+3k^ Let,  4i^+2j^+3k^=b1→i^+2j^+3k^=b2→ As…

Q: 1. ( . ) Write an equation of a line passing through (2, 5) and perpendicular to 3r-4y = 24.

A: We have to find the line passing through the point (2, 5) and perpendicular to the line 3x - 4y =…

Q: Look at this diagram: If CE and FH are parallel lines and m. CDB = 61°, what is m FGD?

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Q: Question 4: Determine if the given lines are parallel, perpendicular, or neither: m: 2x+ 3y = 1 and…

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Q: Determine whether the lines k = 2x - 1 and w 2x + 4 are parallel, perpendicular, or %3D %3D neither.

A: The given diagram has 4 sides equal in length A parallelogram with all sides equal is called as a…

Q: If A, B, C and C`are constants, show that: (a) the lines: Ах + By + C%3 0 Ах + By + C' 3 0 are…

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Q: Which of the following is perpendicular to the line x/2 + y/4 = 1? 4х - 2у — 5 %3D0 4x — Зу +9%3D 0…

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Q: Example 2: Determine whether the lines shown are perpendicular.

A: let the lines are l and m

Q: Determine whether the lines L1: (0, −1), (5, 9) and L2: (0, 3), (4, 1) passing through the pairs of…

A: Given: Line L1 passes through 0, -1 and 5, 9.Line L2 passes through 0, 3 and 4, 1 To Find: To…

Q: Determine whether the lines through the pairs of points are perpendicular.  A (2,0), B (1, -2) and…

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Q: Determine whether the lines L1: (−2, −1) and L2: (1, 3), (5, −5) passing through the pairs of points…

A: Since, we have been given that two lines are L1: (-2,-1), (1,5) and L2: (1,3) , (5,-5). Our Aim is…

Q: Which of the lines x – y + 3 = 0 and x – 4y –7= 0 is father from the origin? -

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: Which of the following line is perpendicular to the line y = -3/4 x+3.

A: To find the perpendicular of a given line, solve the equation y=-34x+3y.

Q: Q1) The line 2x + ky = 3 perpendicular to the line 4x + y = 1 %3D A) What value of k ? B) what value…

A: Solve for.x

Q: (b) Find the point of intersection of these two lines. Show all working and give the exact answer

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Q: Construct a line perpendicular to each of the following lines 4. 5. 6.

A: We have to construct the perpendicular lines for the given lines . Perpendicular line is the line…

Q: Which line is parallel to the line given below? +1 3x +4y = 8 3x-4y=-28 4x+3y=-15 4x-3y = 9

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Q: 1. Determine the values of x and y so that lines m and k will be parallel. x= Sy +2 y3= Зх - 20°…

A: Here the angles of measure 3x-20°,5x+8° are the angles on a straight line and thus they add up to…

Q: Determine whether the lines 2x + 5y =7 and 5x +2y =2 are perpendicular true or false

A: Compare the equations with standard equation  y=mx+c

Q: Complete the sentence below. The line y = 3x + 4 and y = ax +2 are parallel if a = The line y = 3x +…

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Q: Show that the lines whose direction cosines are given by 1+m+n=0 ,2mn+3ln-5lm=0 are perpendicular to…

A: Our objective is to show two lines whose direction cosines given are perpendicular.

Q: Prove that the equation of a line passing through (a, 0) and (0, b) (a + 0, b = 0) can be written in…

A: Given points:   (a, 0)  and  (0, b). To prove:  the equation of line passing through these points is…

Q: Two lines are given as follow: 1: r= 31 – 3j + 6k + a (5i + 10j – 8k), a e IR 12: r= 8i + 7j – 2k +…

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Q: Select all lines that are perpendicular to y -4 =- (r+1) O y = +8 O 3r 2u- 2

A: The given line is y-4=-23x+1 ............................ (1)  Compare with,

Q: Show that the lines px + qy + r = 0 and P1x + q1y +r¡ = 0 are parallel or identical if and only if…

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Q: Which of the following lines is perpendicular to y= -5x-2? O y = 1/5x + 1/5 O y = 5x - 1 O y = -5x +…

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Q: Given these two lines: -1 a+3 6- a-5 Where do the two lines intersect? • Your answer must be a…

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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.