3x² -4xy + 2y²+x-4y+1 = 0 taper is given. find the equations of the axes of this taper and the coordinates of the ver tices.

Q: Find the equation of a line which has y-interept 4,and is parallel to the line 2x-3y-7=0 ,Find the…

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Q: Solve for x & y so that the figure is a parallelogram. 2y+ 8 –3x+ 4\ -4x–2/ 5.

A: Given: The given figure is a parallelogram. The property of parallelogram states that: The diagonals…

Q: Find an equation for the contour of f(x, y) = 2x°y+ 8x + 15 that goes through the point (5, 2).

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Q: 4x + 1 x <3 y = 2x -1 x23 Determine the coordinates of the point on the granh where x = 3

A: Here, we need to find f(3) so when x = 3 we have to use the function y = 2x - 1 so y = 2(3) - 1  = 5

Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

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

A: The equation of x-axis is written as y=0. The line with the slope-intercept form y=mx+c has m as its…

Q: 3. In trapezoid ABCD, AB || CD, LA 3x+18, ZC 3x+1,2D= 6x . Setup an equation that could be used to…

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Q: Find the equation of a line which has y-intercept 4,and is parallel to the line 2x3y-7=0,Find the…

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Q: A hiker realises that the sun is going down and she forgot her headlamp. If the surface of the…

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Q: Q4-Find the Cartesian equation of the line that passes through the point (-3, 2, -1) and is parallel…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find an equation of the line that is prependicular to the line 4x + 6y + 5 = 0 and passes through…

A: The equation of a line is the relation between the x-coordinate and y-coordinate of any point on the…

Q: of

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Q: Determine the r- and y-intercepts for h(x) = 6x – 42. Solve -7x – 8y = 1 for y.

A: Given: (a) h(x)=6x-42(b) -7x-8y=1

Q: Which of the following equations have x-intercepts at (4,0) and (-7,0)? Oy = (2 - 4) - 28 Oy = (z-…

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Q: Find the perpendicular equation for y= − 1/8x+8 with the x intercept at x=-8. Answer in y=mx+b form.

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Q: Determine the equation of the perpendicular bisector of KL if it's endpoints are at K O-7,5) and…

A: Given:    Points : K ( 7 , 5 )    ,   L ( 9 , 1 )

Q: Find the x and y intercept(s) of y=x2+4x+3

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Q: Q4-Find the Cartesian equation of the line that passes through the point (-3, 2,-1) and is parallel…

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Q: y=3+2x– x² and | about the y-axis.

A: Given:

Q: Find the point on the line -4x + 7y + 1 = 0 which is closest to the point (– 1, 3). %3D

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Q: x y2 4 y = - The axis is 0 = y in the third quadrant.

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Q: Find an equation for the contour of f(x, y) = 2a²y + 6x + 15 that goes through the point (4, 1).…

A: A contour line of the quadric surface is the curve of intersection of the quadric surface with the…

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

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Q: The roots of the equation x² - 6x + I = 0 are? The equation of the line of symmetry to the curve y…

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Q: Find the equation that is perpendicular to y = x +3 and passes through the point (-3, -4). %3D Oy =…

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Q: The foci of the below equation are x² – 4y² + 2x + 8y – 7 = 0

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Q: Find the real number ( B) such that the line of symmetric equations ( x – 3 == ) is parallel to the…

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Q: ut the equation y 4x2 - 32x + 7 into the form y = (x – h)² + k: %3D nswer: y =

A: We need to make whole square .

Q: Determine whether x2 + 4y2 = 16 is symmetric respect to the x-axis, the y-axis, and/or the origin.

A: x2+4y2=16 Replace x by -x, we get ⇒-x2+4y2=16⇒x2+4y2=16 It is same as original equation. Therefore…

Q: Write the equation of the plane 4x - 4y + 2z + 5 = 0 in the intercept fom.

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Q: Given AB is perpendicular to OA and B lies on the y-axis b. Find the equation of AB and the…

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Q: Q3) The triangle ABC in a room as in the following sketch, which has the equation 6x + 8y + 3z =…

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Q: Find the real number ( B ) such that the line of symmetric equations ( x - 3 = = ) is parallel to…

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Q: Use an appropriate substitution to solve the equation 9. y3 %3D 13 and find the solution that…

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Q: Find the x-intercepts of the graph of the equation shown below y=24x² – 76x+40 OA. and 0* (0) me…

A: Given equation is y=24x2-76x+40. To find the x-intercepts. Solution: The x-intercept is the point…

Q: Solve 2x + 3y = 11 and 2x -  4y = - 25And hence find the value of m for which y = mx + 3

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Q: Translate the axes to eliminate the first degree terms of 3x^(2)+xy+y^(2)-16x-10y+30=0 Find h and k

A: We have to translate the axes to eliminate the first degree terms of 3x2+xy+y2-16x-10y+30=0 To Find…

Q: Eliminate the parameter t to find a Cartesian equation for: x = ? and y = 9 + 4t . and express your…

A: We are given that x=t2 and y=9+4t. Now,…

Q: Show clear and detailed solutions • Determine and draw the graph of the following equation in R3 :…

A: We have to sketch the graph in R3.

Q: Find an equation for the contour of f(x, y) = 2x2y + 6x + 10 that goes through the point (2, -2).

A: We have to find an equation that is the contour of  f(x,y)=2x2y+6x+10      that goes through the…

Q: find the shortest distance from a hotel located at (2,4) to a straight road  with equation 3x+5y+8=0

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: Sæ(t) = 4t² y(t) -…

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Q: Find the shortest distance from a hotel located at (2, 4) to a straight road with equation 3x + 5y +…

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Q: Which equation is perpendicular to y = -6x +2 %3D

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Q: (3y- 2)° (4x +13) +10) (12x 7) G H. For the parallelogram above, find the value of x.

A: I have used the fact: the sum of two samr side angles is 180

Q: Find the x and y-intercepts of the equation 7y+6x=−12, and use the intercepts to graph the equation,…

A: 7y+6x=-12 When x = 0, 7y+60=-12⇒7y=-12⇒y=-127 When y = 0, 70+6x=-12⇒6x=-12⇒x=-2 When x = 5,…

Q: Figure QRST is a parallelogram. Solve for x. R. SO ° 14x +2 S. 0.7 2. O 4

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Q: Find the equation of the curve for which -6-9x and which passes through the points (0,-1) and (2,…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.