The center of a circle lies on the line y = 6x + 2 and is tangent to the x-axis at (-2,0). What is the equation of the circle in standard form? Enter your answer by filling in the boxes. ()° + (»_

Q: An unsymmetrical parabolic curve has a forward tangent of 5% and a backward tangent of -3%.The…

A: Given G1=−3%, G2=5% And l1=120 m, l2=90 m PVI station=5+040 And PVI elevation=101 m PVC station=PVI…

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: Draw a diagram to show that there are two tangent lines to the parabola y = x2 that pass through the…

A: Given: y=x2

Q: Describe how to determine and find the equation of a circle with center on the line y = 0.5x + 3…

A:

Q: The slope of the tangent line to the parabola y = 2a2 + 2a + 6 at the point ( – 2, 10) is: The…

A:

Q: What is the equation of a circle that has center located at (- 2, 0) and passes through the point…

A: Solution: The objective is to find the equation of a circle that has a centre located at (- 2, 0)…

Q: curve Y = √x closest to the point (5,5

A: The given curve is y=x.

Q: How do you find a tangent line of a circle Equation: (x - 3)2 + (y - 5)2 = 5 Point: (4,7)

A: solution:- Given                x-32+y-52=5                 point  4,7The above lies on the…

Q: Show that the circle can be drawn touching line 3x+y-6 =0 at (3,3) and touching the line 3x+y+2=0 at…

A:

Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4,-7). (Use…

A: Topic:- application of derivatives

Q: lentify the center and radius of the circle defined by the equatic x – 2)² + (y – 3)² = -

A:

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: Determine the missing coordinates of the points on the graph of the function. 2 y = arctan x -3 3…

A:

Q: Sketch the curve f(x, y) = c together with  ∇ƒ and the tangent line at the given point. Then write…

A: xy=-100

Q: How to find an equation of the line tangent to the circle x^2+y^2-6x-2y-15=0 at the point (6,5) ?

A: Note:- The standard form of equation of tangent line at point c, d is y-d = m x-c Here, m is the…

Q: At what point in the first quadrant does the line with equation y = 21 + 5 intersect the circle with…

A:

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: Find the equation of the line tangent to a circle with center at (3,2) and radius 5 at the point…

A: The center of the circle is:  (h, k) = (3, 2) Radius of the circle is:  r = 5 Now we have to find…

Q: What is the equation of a circle with its center at (0,–2) and passing through the point (3, –5)?

A: Given,          The equation of a circle with its center at 0,-2 and passing through the…

Q: A curve passes through the point (0,5) and has the property that the slope of the curve at every…

A: Slope of the curve is given by dy/dxdy/dx is twice the y coordinate. So, dy/dx=2y

Q: Find equations of all tangent lines to the graph of y = 4x + 40x² + 125x + 118 which pass through…

A: We have given equation of graph y=4x3+40x2+125x+118. We have to find equations of all tangents which…

Q: The path of a fast moving particle assuming constant speed traces a circle with equation (x-3)2 +…

A: Given - The path of a fast moving particle assuming constant speed traces a circle with equation…

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

A:

Q: A curve passes through the point (0, 5) and has the property that the slope of the curve at every…

A: A curve passes through the point (0, 5) and has the property that the slope of the curve at every…

Q: Find the equation of the tangent line to the circle at the point (-3, -4). Equation of the circle *…

A:

Q: Find the diff equation of family of circles with center on the line y = -x and through the origin.…

A:

Q: Find the equation of the tangent plane to the graph of 5y f(x, y) at the point (4, -7). (Use…

A:

Q: What are the new coordinates of the point (6, 15) under the dilation (x,y) → (3-3)?

A:

Q: Find the coordinates of the point at -270° on a circle of radius 2.2 centered at the origin. Enter…

A: Known fact: Any point on unit circle is given by rcosθ, rsinθ where r is radius of circle.

Q: passes through the points (-2, -9) and (4, -6)

A:

Q: From the point (0, –5), tangent lines are drawn to the circle (x – 7)2 + y = 4. Find the slope of…

A: Equation of line passing through point (x1,y1) and slope m  (y-y1) = m (x-x1)

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

A:

Q: Find the points of intersection of the circle C of radius 3 centered at (-1, -2) and the line L with…

A: Want to find:                         the points of intersection of the circle C of radius 3…

Q: 1) What is the equation of 5 center the circle whose center is (4, 2) (4, 2) and is tangent to line…

A: Given the center of the circle is (4,2) and is tangent to line y=-5. Since, the tangent is a line…

Q: Find equations of the lines passing through the origin that are tangent to a circle with radius 2…

A:

Q: A circle with radius 4 and center (-1,3)

A: Topic = Circle

Q: The coordinates of the point in the first quadrant where the line with equation y = 1.5z + 4…

A:

Q: ind an equation of the circle with centre C(3,-2) and tangent line y=5 .

A:

Q: There are two tangent lines from the point (0, 1) to the circle x2 + ( y + 1)2 = 1. Find equations…

A: The equation of circle is x2+y+12=1. Compare the above equation with standard equation of circle…

Q: Give the equation of a circle tangent to the line 3x + y -2 = 0 at (-1, 5) and with a radius equal…

A: Topic = Circle

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: A rectangle can be drawn in the first quadrant bounded by the curve y=8-x^3, the x-axis, and the…

A: Given:  The curve y=8-x3, To determine: The dimension of largest rectangle drawn in first quadrant…

Q: Find the length of the arc of the curve from point P to point Q. y - , (-3, 3), (3, %).

A:

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by 4z2 +…

A:

Q: Find a path that traces the circle in the plane y=5 with radius r=2 and center (-1,5, -4) with…

A: The radius if circle = 2 and center (-1,5,-4) The equation of such circle is given by: The…

Q: Find an equation for the line tangent (in general form) to the circle at point (4,-3). The circle…

A: For the figure  given below: Equation of a tangent to a circle at point (a,b)  with radius r and…

Q: What is the radius of a circle whose center is at (-6,7) and is tangent to the y-axis?

A: Given that: center=-6,7 and tangent to the y-axis

Q: 6) Determine the y-coordinate of the point on the unit circle whose x-coordinate is 4 V3 7) Check…

A: Consider a unit circle centred at the origin. The equation of the unit circle is given as, x2+y2=1…

Q: Find the coordinates of the point at -90degrees on a circle of radius 4.9 centered at the origin.…

A:

Q: At what point in the first quadrant does the line with equation   y = 0.5 x + 4   intersect the…

A: