3. Let 7, r, and r, be the roots ofx' +3x-5x-4= 0, construct the equation whose roots are: 7(r, +r3 ), r, (r, +7) and r, (r, +r;).

Q: What is the image of (-9, –5) after a reflection over the line y= –x?

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Q: If the first line has the form Ax + By + C = 0 and the second line has the form Dx + Ey + F = 0 and…

A: If the first line has the form Ax + By + C = 0 the second line has the form Dx + Ey + F = 0 the…

Q: 4) Find linear ditterental equation with costnt y-ac'+cadk Lomageneas coetfients whose general…

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Q: 2. Express in radical form the length of the line segment joining the points whose coordinates are…

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Q: -10- If the required is a point, use (x, y) form.

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1…

Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

A: We have to find the value of x if dydx=6x2-2x and the curve passes through the point (1,5).…

Q: aber of linearly 1 is

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Q: What are the coordinates of (-4, 1) after a reflection over the y-axis? 10- 8- 6+ 4+ (-6, 1) (-4, 1)…

A: Given, The coordinates of point -4, 1  We have to find the coordinates of point -4, 1 after a…

Q: What are the coordinates of the points in the graph of y2 – x² + 6x – 13=0 in which the tangent line…

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Q: Verify the points (1,5) ,(2,3) and (-2,-1) are collinear or not

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Q: What is the image of (8, –7) after a reflection over the line y = -x? |

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Q: Find equations for two lines through the origin that are tang net to the curve x²-4x+y²+3=0 .

A: We have given equation of curve x2-4x+y2+3=0. We also know that the slope of the line will be the…

Q: What is the image of (-2, 6) after a reflection over the line y :

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Q: 2- Find the approximate roots of the following equation f(x)= 4x – x² -2 = 0 on [0,1], by using…

A: According to the given information it is required to find the approximated roots of the equation…

Q: 1 What is the image of the point (-4,-2) after the reflection over the line y = - -X- 1?

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Q: Find all points on the graph of 3x 2 + 4 y 2 + 3xy = 24 where the tangent line is horizontal

A: Given:              3x2+4y2+3xy=24 We know the tangent line is horizontal when y'=0 So we want to…

Q: Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and…

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Q: Identify the new coordinates of (-4, 1) after a reflection across the y-axis. y 10- 8- 6- 4+ ((6, 1)…

A: Given  Coordinate (-4,1)

Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…

A:

Q: The slope of the tangent line to the parabola y=4x2+2x+6y=4x2+2x+6 at the point (-3,36) is: ?

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Q: Use the false position method to find a root of the equation (e power x) +(2 power −x) + 2cos x = 6…

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Q: The distance from the point (-1, -2, 3) to the line x = 1 + 2t, y = 2 - t, z = 3 - 2tis [a] (input…

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Q: Find the roots of 5sin^2x-8cos^5x=0, x_0=0.5, using Newton method

A: Concept Used: Newton Method xi+1=xi-f(xi)f'(xi+1) Consider 5sin2(x)-8cos5(x)=0So…

Q: What is the image of (8, –7) after a reflection over the line y = -x?

A: When we reflect a point from from the line y= -x  There is a sign change in both coordinate occurs.

Q: Compute the original coordinates with respect to x and y axes if the translated coordinates of this…

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Q: Find the equation of th line perpendicular to the line 3y=2-4x and passing through the point (4,7)

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Q: The plane that passes through the point (5,2,2) and is perpendicular to both x-5z=-24x-5z=-24 and…

A: The direction ratio of the normal vector to the plane x-5z=-24 or x+0y-5z=-24 is (1,0,-5) The…

Q: Suppose ABC- > LMN is a reflection across the line x = 0. If A(4, 4) what is the y coordinate of L?

A: Suppose ABC- > LMN is a reflection across the line x = 0. If A(4, 4) what is the y coordinate of…

Q: 1. Write the equation to a quartic with roots -4, -2, 6, 9 and that goes through the point (8, -20).

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Q: What is the image of (-2, –3) after a reflection over the line y = x?

A: Given : To determine the image of the point -2,-3 about y=x

Q: What is the image of (0, -8) after a reflection over the line y = x?

A: The reflection of the point (x,y) over the line y=x is the point (y,x).

Q: What is the image of (-2,-2) under the reflection in the line x+y-1=0. (3,3) O (-1,-1) O (1,1) O…

A: What is the image of (-2,-2) under the reflection in the line x+y+1=0

Q: of x3 - x - 3 = 0 using If the starting gues ue of the root after %3D

A:

Q: 4 Find the distance between u = -3and z= - 1 8

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Q: What is the image of (-1, -4) after a reflection over the line y = -x?

A: Topic = Coordinate geometry   when a point is reflected across the line y = -x, the x-coordinates…

Q: What is the image of (6, 4) after a reflection over the x-axis?

A: The image of (6,4) after reflection over the X-axis is (6,-4)

Q: 1. 2x - y²= 10 |

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: -solve by exact (Differeneial Eauanian (8--メう)+ス dy tメ- Xy よx 二0

A: ''Since you have asked multiple questions in a single request, According to guidelines we will be…

Q: What is the image of (4,-1)(4,−1) after a reflection over the line y=xy=x?

A: Reflection over y=x means:  (x,y)→(y,x)  We need to find reflection of (4,-1) over y=x line .

Q: 1 What is the image of the point (-4, -2) after the reflection over the line y = - x- 1?

A: follow next step

Q: 1- -3 -1 2. 4 -1- X-аxis -2 -3- O 2 O 0.5 O -2 -0.5 y-axis 20

A: slope = (y2 - y1)/(x2 -x1)

Q: the boat from its starting point?

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Q: 17. The line with equation y = 2x b where bis a constant, passes through the point (3, 6). What is…

A: When a line passes through a point then the coordinate  values of the point must satisfy the…

Q: 3. Find equations of the tangent lines to 9x +16y-52 that are parallel to the line 9x-8y-1

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Q: Find all the roots of =-V3+j %3D |

A: In this question, the concept of De Moivre's Formula is applied. All n-th roots of a complex number…

Q: What is the image of (8, – 7) after a reflection over the line y = -x?

A: See 2nd step

Q: Find the equation of the line that satisfies the given conditons.  Through (-6,-7); perpeindicular…

A: Given: line passing through (-6, -7), perpendicular to line passing through (-3,5), (1,3).

Q: How can you say that the points (1, – 5),(3, – 2),(7,4) ar collinear

A: Co-ordinate Geometry Question

Q: Three runners start at the same location and, at the same time, start running in different…

A: