What is an equation of the line that passes through the point (–6, –6) and is paralle to the line x – 3y = 18? -

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A: Given :   y=4x-2

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A:

Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: H

Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

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Q: Q6 Which equation represents the line that passes through the point (3,4) and is paralel to the…

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A: y=1;(2,6)

Q: TO Which of the following equations defines a line that is paralel to the line y =-x+47 6x + 4y 4x…

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Q: Sketch the lines 3x+ 4y 7 and x- 2y = 6, and find their point of intersection. Hint: Their point of…

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Q: The cartesian equation of the curve x = VE .y 1-t is :

A: The characterstics eqaution of the curve is

Q: Which of the following coordinates exists on the line y = 3x+ 1? А. (2, 6) В. (-1, -2) С. (3,4) D.…

A: Solution is B) (-1,-2)

Q: The point T(6, 6) is reflected over the line x = -5. What are the coordinates of the resulting…

A: The point T(-6, 6) is one unit left to the reflected axis. Thus, the resulting point should be one…

Q: State the following curve in the form of a parameter equation a. y = 1-x², z = -2 b. y²-z²=9, x =4

A: a. According to question,Given equation,y = 1-x2 ,  z = -2

Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: Find the equation for the set of points in an xy-plane that are equidistant from the point P -6,3…

Q: Ux the fact that х у 1 a b 1-0 a b 1 to deiermine the equation of the line passing through the…

A: Let (x,y) be a point on the line connecting the points Now if  they are on the same line, the area…

Q: 14. Write an equation of the line that is perpendicular to 3x – 4y = 9 and cont- (-4,-5).

A:

Q: find value(s) of k so that the lines described by 3x = 2y+11 and kx = 40 - 6y are perpendicular

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A: Consider the curve  x=3t-4,y=6t+2

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Q: 3. The line L is parallel to the line x t, y 2t, z =3 and passing through the origin.

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A: Given: The line 4x+y=b is tangent to the parabola y=ax2 when x=5. To Find: Value of a and b.…

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A: Given, ∆A'B'C' is formed after a reflection across a line through point P followed by a translation…

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Q: At what point do the curves r¡(t) = (t, 1 – t, 3 + t²) and r2(s) = (3 – s, s – 2, s²) intersect?…

A: Given Data: Curve 1: r1t=t, 1-t, 3+t2 Curve 2: r2s=3-s, s-2, s2   For the intersection point,…

Q: 4. In the xy-plane, the line.determined by the points (3, a) and (a, 12) passes through the origin.…

A:

Q: A particle moves along a straight line and its position is given by s\left(t\right)=t^3-6t^2+9t+5.…

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A: To find the correct option

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A: Given line is: y = kx + 4 ................... (1) The line contains the point (c, d). Then (c, d)…

Q: Find the slope intercept form of the line satisfying the given conditions. parallel to 4x+16y=23.…

A: The line parallel to the given line 4x+16y=23 should have the same slope as the given line.

Q: Find the veeton equation of a Line L going thagh the P= C-6,2) $ paeallel to the ine point %3D…

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Q: The equation of a line perpendicular to 4x+7y– 63 =0 is Oy- z 6 Oy--- I. Oy =z+

A: See the details solution in below

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Q: ind an equation of the line of intersection of the following two plane x + y + z = 0 nd 2я — у + 32…

A: We have to find out

Q: Show that the point (x0 , y0) closest to the origin on the line ax+ by =c has coordinates

A: Distance between x0, y0 and origin (0, 0) is, D=x0-02+y0-02D=x02+y02D2=x02+y02f=x02+y02…

Q: Consider point P(4, 2) and line /with equaiton -3x + 4y = 6. The equation of the line that passes…

A: Solved below

Q: The equation of a circle in the zy-plane is 2 + 4x + y? – 10y = 20. If the line z= k intersects the…

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Q: 1. Find the Cartesian equation of the curve represented by x = 4t + 3 and y 16t - 9, -0 <t<o.

A: Try to eliminate 't' to establish relation between x and y.

Q: Consider point P (4, 2) and line /with equaiton -3x + 4y = 6. The equation of the line that passes…

A:

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Q: Find an equation for line that passes through point p(8,6) and perpendicular to v=2i+3j

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Q: For what values of aa and bb is the line −4x+y=b-4x+y=b tangent to the curve y=ax2y=ax2 when…

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Q: Determine the equation of the curve which is perpendicular to the line joining any point on the…

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