Given DEF -> WHY through a reflection across the line y = x. What are the coordinates for the image of E(-4, 7)? H(   ,   )

Q: Find a relationship between x and y such that (x, y) is equidistant the same distance from the two…

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Q: The curve y = ax2 + bx + c passes through the point (2, 32) and is tangent to the line  at the…

A: Given curve: y = ax2 + bx + c passes through (2,32) and  (0,0) line at the origin is tangent to the…

Q: Find an equation of the line L that passes through the point (−4, 6)and satisfies the given…

A: Equation of a line passing through (a, b) is: (y - b) = m(x - a)

Q: Find an equation for the collection of points for which the distance to (9, 0) is twice the distance…

A: It is given that for the collection of points for which the distance is (9,0) is twice the distance…

Q: (10) The equation for line L through the point (1, -3) with slope 1/2 is : O y= 1/2 x+ 7/2 y=1/2 x -…

A: To find: The equation of line passing through the point 1,-3 with slope 12. Concept used:…

Q: Find a relationship between x,y and z with reasons

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Q: How is the line y = 1 – x converted by mapping w = x² ? Please write the answer in legible and…

A: Note: Since no further assumption is given, we have assumed that transformation w=x2 represents the…

Q: b) Determine the equation of the line that goes through the point (-1,2) and crosses the positive x-…

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Q: nded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: Imeter) Y ( meter) POINT 1 1254,72 2951,76 2 1362,50 3205,13 3 1578,94 3713,80 4 1843,68 4335,92

A: A table of data is given, and the general equation of a line is y=ax+b. Here, a is the slope, and b…

Q: Find the points that touch the x axis of curve v = u2 + pu (n+1). Where n = 744. Also find the…

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Q: A line L1 with slope of -3 intersects a line L2 parallel to the y – axis at (3,5). Find the angle…

A: Answer and explanation is given below...

Q: 4- Find the line that passes through the point l2) the Point of intersection of the lines x+2y=3 and…

A: 4.  The equation of the line passing through a point x1,y1=1,2 and the point of intersection of the…

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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Q: slope=2/3; through y-intercept(0,4)   parallel to 2x+4y=9; through (6,1)

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Q: Find the points on x=3-y^2 that are closest to the given point (1,0)

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Q: Find the equation of the line of intersection of r +y+z = 0 and 2x – 3y + z = 0. Note: (0,0,0) is a…

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Q: Find the value of a  the line through (-2,3) and (8,5) is perpendicular to y=ax+2

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Q: Estimate the slope of the graph at the points (x,, y,) and (xɔ, y2). At (x, Y1), slope At (x2, Y2),…

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Q: Find the distance from the point (1, 2, 3) to the line x=0,y=2+5t,z=3+5t

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Q: The points (0, 2.6) and (2.9, 7.53) satisfy a linear relationship between two variables, z and y. a.…

A: Given that the points 0,2.6 and 2.9, 7.53 satisfy a linear relationship between two variables x and…

Q: Find an equation of the line passing through the point (-3, –6) that is parallel to the line y = }x…

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Q: 4. contains (1, 6) and (8.-1) 5. contains (-3, 10. y = -x+7 9. y = 7 7. y= jx+4 8. y= -0.8x- 5 14. x…

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Q: Find the line L passes through the point (-2.2) and perpendicular to the line L': 2r+y 4.

A: Given : The line L passes through the point -2,2

Q: If line r has the equation y = - 2 what is the equation of line r given that line rwas dilated by a…

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Q: roblem 4.1 Find the point on the line y = 2x + 3 that is closest to the origin.

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Q: Find values of a and c such that the tangent to y = ax2 + 12x + c is horizontal at the point (2,5)

A: Tangent is horizontal where derivative is zero

Q: 2. Find the line L passes through the point (-2,2) a L:2x+y=4.

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Q: n of the following lines: ion of the line with slope m = and passing through (0,9). ion of the line…

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Q: Find an equation for the line with the given properties. Vertical line; containing the point (-8, 1)…

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Q: Approximate the point of intersectión of the graphs of r and g. (x, y) = (

A: Given,

Q: The distance from the point S(-7, -9, 3) to the line x = -7 + 4t, y = -8 + 12t, z=7+3t 2297

A: I have append the formula used in the solution part

Q: Find the distance from the point (1,–4,2) to the line x=2+t, y =-2+2t, z = 4 –t Try not to use any…

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

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Q: a. The curve y=4x-x and the lines y=0, x=1 and x=3.

A: Due to our guidelines we can answer only one question at a time, therefore I am answering first…

Q: 5. Straight lines with algebraic sum of the intercepts fixed as k. Am. (xy - yXy – 1) + ky' = 0.

A: Given :   Sum of intersection fixed is k

Q: 14. What is the equation of the line perpendicular to =(x – 6) and passes through the point (-3,2)?…

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Q: Find equations for the followingineF - The line through y and parallel to Z-axis

A: To find the equation of the line that passes through 1, 1, 1 and parallel to the z‐axis.

Q: Find an equation for the line tangent to y = 1-2x² at (- 3, - 17). The equation for the line tangent…

A: For y = f(x)                    at (x1, y1) Equation for line tangent=>  y-y1 = m(x-x1)…

Q: Wallis is seated on the line tangent to y=4-3x-x2 at the point (2, -6).

A: wallis is seated on the line  tangent to curve   y=4-3x-x2   at point 2,-6

Q: Find an equation of a line parallel to the line y =1/2x − 3 that contains the point (6, 4).…

A: y=12x-3 equn of line parallel to y=12x+C C=constant

Q: 2 Find an equation for the line tangent to y = 5-5x at (-5, - 120). The equation for the line…

A: Tangent to a curve is the derivative of the dependent variable wrt to the independent variable. and…

Q: Find the approx. distance of the point (6, -3) from the line 2x – y +4 = 0 a. 6.5 units O b. 10.5…

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Q: The slope-intercept form of the line with soope equal to 2/9 and y-intercept at (0,4) is

A: Given: Slope= m=2/9  Point = (X1,Y1) = (0,4)

Q: The graph of the line y=1/3x+1 intersects a second line at a right angle . If the y intersect of the…

A: the given line equation y=1/3x+1   .......(1) compare this line with standard form y = mx  +c m =…

Q: how to find equation of a tagent line y=x^4 +2e^x  at (0,2)

A: In the question we have to find the tangent at point (0,2)

Q: Find distance the poinl- the between CziZ16) * +y=0, J -Z = the line

A: Consider the given equation of a line: Here the objective is to find the distance between point p…

Q: Find the equation of the curve whose slope at any point (x, y) is given and which passes through the…

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Q: Given the set of info find a linear equation satisfying the conditions if possible…

A: The linear equation has x-intercept at (x,y)=(-9,0) and y-intercept at (x,y)=(0,2)

Q: Find the relationship between x and y such that the point (x.y is equidistant from the point (7,1)…

A: If a point say P is equidistant form two points say A and B then  PA =PB To see complete solution…