37. Determine whether the lines x + 3 y + 4 and intersect. Two suggestions: (1) Can you find the intersection point, if any? (2) Con- sider the distance between the lines.

Q: Given A(4, -2) and B(-2, 4), find the equation of a straight line that is perpendicular to AB and…

A: Our Aim is to find the equation of a straight line that is perpendicular toAB and passing through…

Q: Find the coordinates of the poin divides the line segments joining the points (6, (-4, 5) in the…

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Q: Write the general (Cartesian) form of the line that contains the point P=(1,6) and is parallel to…

A: This is the cartesian geometry and application.

Q: Calculate ?a so that the line y=3x+a travels accross the point (3,10). Give the answer in its exact…

A:

Q: Pac-Man can be formed by the intersection of the Unit Circle with the lines y = x (x ≥ 0) and y =…

A: Converting in polar coordinates x=r cosθ,  y=r sinθ Here radius "r" is 0≤r≤1, -π4≤θ≤π4

Q: a. Determine if the three lines have a common point of intersection. 2x₁ − 3x₂ = −13, and -2x₁ + 3x2…

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Q: – 4x + 5 and Write an equation for a line perpendicular to y = passing through the point (-8,-3) y =

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Q: 14. Determine whether the lines L1 and L2 are perpendicular, skew, or intersecting. If they…

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Q: What is the equation of the line perpendicular to the line 25x + 10y: (-3,-1)? = 8 and includes the…

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Q: Determine the point where the lines x = 4t + 1, y = t - 9, z = 2t + 1 and x = 5s + 1, y = -s, z = 5s…

A: The given lines are:L1:    x=4t+1,   y=t-9,   z=2t+1L2:    x=5s+1,  y=-s,    z=5s-9

Q: 6. Determine the equation of the line that is perpendicular to 2x-5y + 15 = 0 and has the same y-…

A: First find slope of perpendicular line and y intercept then use equation of line

Q: find the missing coefficient the line are perpendicular  x-4y=5 and y=-Bx+24

A: Note that, perpendicular lines and theirs slopes is

Q: Find the intercepts of the following equation. 3x? + y = 3 Select the correct choice below and, if…

A: We have to find the x and y  intercepts.

Q: 3. Which equation models a line that passes through the point (-S, 8) and is parallel to y 3x +2?…

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Q: The line joining the origin and Pomt of of the linesr (X=1+2t,42-3+4t. y=-5+3t 2 Ction ,zet) and

A: Let the parameter of line L1 is t = t1 and the parameter of line L2 is t = t2. To find the point of…

Q: State whether the following statement is true or false. Explain. All solutions to x8=1 lie on the…

A: First we find all the solution of the equation x8 = 1

Q: 2y = 3x - 1  and 3y = -2x Select one: A.The two lines are parallel. B.The two lines are…

A: Parallel lines have same slope and for perpendicular lines product of slopes is -1