The line segment WX will be dilated by a scale factor of 2 about point Z to create line segment W'X'. What will be the coordinates of point W'? O (-12,10) O (-3,5) O (2,10)

Q: The tangent line to the graph of y = h(x) at the point ( -1, 4) passes through the point (3, 6).Find…

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Q: Find the slope of the line through the point (12,15) that cuts off the least area from the first…

A: Given: (12,15)

Q: Find equations of the tangent line and normal line to the curve  y= x sqrt x  at the point  (1,1) .…

A: Given curve: Let the slope of the tangent line to the given curve is m. And the slope of the normal…

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 5  where the tangent line is horizontal. (x,…

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Q: The line represented by 3x-4y=16 is dilated by a scale factor of 3 centered at the origin. Which…

A: The dilation is the way of transformation. Every parent figure can be dilated by a scalar factor. By…

Q: Find equations of the tangent line and normal line to the curve at the given point. y = 6 cos x , (…

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Q: 25. Find equations of all lines having slope −1 that are tangent to the curve y 1/(x − 1). = 1/4…

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Q: A circle with radius 5 has its center at origin. What is the equation of the tangent line to the…

A: The equation of a circle centered at and has a radius r is defined by the equation, . The slope of…

Q: Find the distance between the points (2,−3/2)( and (1,−1/2). Give the exact distance and an…

A: Exact distance can be calculated by using distance formulax2-x12+y2-y12plugging x & y  - values…

Q: Find the equation of the tangent plane to the graph of 5y f(x, y) = at the point (9, –1). (Use…

A: The equation of the tangent plane at point (x1, y1, z1) is z-z1=∂z∂x(x1, y1, z1)(x-x1)+∂z∂y(x1, y1,…

Q: Two circles of radius 4 are tangent to the graph of y = 4x at the point (1, 2). Find equations of…

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 − x2 + 7,  (2, 27) y…

A: In

Q: a. Circle of radius 1 and centers on the line y = x

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Q: Two circles of radius 4 are tangent to the graph of y2 = 4x at the point (1, 2). Find equations of…

A: Given: Two circles of radius 4 are tangent to the graph of y2 = 4x at the point (1, 2). To Find…

Q: Find equations of the tangent line and normal line to the curve y = x/x at the point (1, 1).…

A: y=xx

Q: 12. The line y = 8x + b is tangent to the curve y = 2x². Determine the point of tangency and the…

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Q: The tangent line to the graph of y = g(x) at the point (4, 5) passes through the point (7, 0). Find…

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Q: A circle is tangent to the line 2x-y+1=0 at the point (3,5) and the center is on the x+y=9. Find the…

A: Given that equation of tangent to the circle is  2x-y+1=0 at point (3,5)

Q: The curve y = a x 2 + b x + c passes through the point ( 1 , 2 ) . The line y = 2 x + 1 is tangent…

A: Given that the curve passes through a point.

Q: 4) Find the slope of the tangent line to the curve 4 y = 3(х3 — 2х2 + 3х — 5) at the point (2,) Give…

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Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4, –-1). (Use…

A: The Equation of the tangent plane: - z0=(x0,y0) is a point in the domain of f, and defined by a…

Q: Find the slope between the points (2, 8) and (2, 10). Enter DNE if the slope between the points is…

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Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 5  where the tangent line is horizontal. (x,…

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Q: Find the distance between the points (-1,4) and (3, -6). Give the exact distance and an…

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Q: The line that goes through the point (0,0) so that the tangent of the angle it make with the x-axis…

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Q: Vhat is the image of (-1, 3) after a dilation by a scale factor of 5 centered at he origin?

A: We have to find the image of (-1, 3) after a dilation by a scale factor of 5 centered at the origin.

Q: 20. Does the line that is normal to the curve y = x² + 2x - 3 at the point (1, 0) intersect the…

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Q: How many tangent lines to the curve y= x /(x+1) passthrough the point ( 1,2) ? At which points do…

A: Given : y=xx+1  pass through the point (1, 2) To find: The number of tangent lines to the curve  y =…

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: the graph at the given point. (y − 3)2 = 4(x − 5),    (9, 7)

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Q: a moving point is equidistant from the point (a,0,0) and the line x+a=0,y=0.Find the value of z^2

A: Let us assume that the point is = x,y,z The distance between the point a,0,0 and point x,y,z is:…

Q: How many tangent lines to the curve y = pass through the point (1, 2)? X + 2 2 At which exact points…

A: Given the curve y=(x)/(x+2) passing through the point (1,2). We need to find at what point does the…

Q: 9 Find the length of the segment 16 between the lines. y- 1-x + arcsinx of the curve -0, x

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Q: The equation of the line tangent to the curve at (−1,4)is x+y=3. What is the slope of the normal…

A: Product of slopes of two perpendicular lines is -1.

Q: what point/s (x,y) on the graph of f has/have the property that the line tangent to f at (x,y) has…

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Q: Find the points where the line y=−x/4 intersects a circle of radius 8 centered at the origin. Give…

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Q: The slope of the tangent at a point (x0, y0) of x3 + y3−6x2y = 0, is indicated as 4x0y0 −…

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Q: 5 Find the equation of line tangent the circle x+y = 25 at point (3, -4). .2 %3D

A:

Q: Find the distance between the points (21, 4) and (3, 26). Give the exact distance and an…

A: Let A(21,4)  and   B(3,26)   To evaluate distance between AB

Q: A tangent line to y=1/x^2 intersects the x-axis at the point A and the y-axis at point B. What is…

A: Please note: The line tangent to the given function intersects the x-axis at a point A and the…

Q: The point (2,2) is on the graph of x4+4xy+y3= x2+36. Find the slope of the line tangent to the…

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Q: Suppose a researcher collects data on the bacterial contamination, measured in colony-forming unit…

A: Given that the upstream bacterial contamination is on the horizontal axis.   And the downstream…

Q: How many tangent lines to the curve y = pass through the point (1, 2)? X + 6 2 At which points do…

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Q: 4. Center at (-4,9), tangent to the x-axis 5. Center at (-4,9), tangent to the y-axis

A: In this question we have to find the equation of the circle tangent to the x-axis and y-axis.

Q: Find the slope of the line through the point (12,15) that cuts off the least area from the first…

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Q: Find distance between point A(1,3) Perpenclicular the line L: 2y =2+X on

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Q: 9. Find the width of the shape, surrounded by two curves y = e*, y = e¯ * and %3D two straight lines…

A: Consider the given curves y=ex and y=e-x and two straight linesx=ln2 and x=ln5.

Q: 7. Find the slope of the tangent line at point (-2,2) on the curve flx) = 2x² + 3x. %3D

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Q: the shaded area shown in the figure is bounded by the line with equation y = 12-7x-x² and the line…

A: given functions are                                              y=12-7x-x2, y=4…

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.