es. A cellular phone tower has a reception radius of 200 miles. Assuming the tower is located at the origin, write the equation of the circle that represents the reception area. 2.Eyeglass Lens. Eyeglass lenses can be thought of as very wide parabolic curves. If the focus occurs 2 centimeters from the center of the lens and the lens at its opening is 5 centimeters, find an equation that governs the shape of the center cross section of the lens.

Q: Find the equation of a circle whose center is at (4, 1) and tangent to the circle x² + y2 -8x-6y +9…

A:

Q: QUESTION 12 Write the equation of a circle in the standard form. State the center and the radius of…

A: Solution: The objective is to write the equation of a circle in the standard form

Q: 1. Find the center and radius for each equation of a circle. (x+ 5)2 + (y - 1)2 = 49 %3D Center (

A: Solution; Consider the given equation of the circle: x+52 + y-12 = 49 Comparing the given equation…

Q: Find the standard form of the equation of the circle. Center ( - 3, 1) and tangent to the y-axis

A: The center of a circle is ( - 3, 1) and tangent to the y-axis.

Q: What is the equation of the circle in standard form whose endpoints of a diameter are at A(-5,4) and…

A:

Q: Show that the equation represents a circle, and find the center and radius of the circle. x2 + y2 +…

A: x2+y2+6y+2=0 On simplification, we get ⇒x2+y2+6y=-2⇒x2+y2+6y+9=-2+9⇒x2+y+32=7⇒x-02+y--32=72 Now it…

Q: Recall the equation for a circle with center (h,k) & radius r. At what point in the first quadrant…

A:

Q: Find the standard form of the equation of the circle. With endpoints of a diameter at (4, 3) and (0,…

A: Known fact: The equation of circle with endpoints of a diameter at x1, y1  and  x2, y2 is given by…

Q: Question 4 Determine the standard equation of the circle with center at (-5,0) and diameter of 18. A…

A: A circle is a two-dimensional figure. It is represented by the locus of a point whose distance from…

Q: Find the standard form for the equation of a circle (x-h)2+(y-k)2=r2 With a diameter that has…

A:

Q: Write the standard form of the equation of the circle withcenter (h, k) = (4, - 1) and radius r = 3.

A:

Q: Find the standard form of the equation of the circle. Center (4, - 2) and tangent to the line x = 1

A: Center (4,- 2) and tangent to the line x=1we have to find equation of circle

Q: Recall the equation for a circle with center (h,k)(h,k) and radius r. At what point in the first…

A:

Q: Determine the Equation of a circle if the center is at (5, - 4) and radius Is V3.

A: Formula -Equation of circle centred at (h, k) and radius r is (x-h)2+(y-k)2=r2

Q: 1. Determine the center and the radius of the circle whose equation is given by x' +y° – 6x +2y+2 =…

A: The solution as follows :-

Q: Recall the equation for a circle with center (h,k)(h,k) and radius rr. At what point in the first…

A: Recall: Equation of circle:  x-h2+y-k2 =r2 ; where (h,k) is the center and 'r' is the radius of the…

Q: Write the equation of the circle in general form that will satisfy t conditions. C. 25. Center 5:4,…

A: Given that: 28. Line segment joining (0, 7) and (-6, -3) is a diameter.30. Center is at (0, -9) and…

Q: Find an equation of the circle that has center C(3, -2) and is tangent to the line y = 5.

A: We have, the center of the circle as C3,-2. Also line y=5 is tangent to the circle. As we know that,…

Q: 1. Write the equation of the circle with the center at (1, -2) and radius equal to 6. 2. Write the…

A:

Q: 3. Write the standard equation of the circle with center (-4,-6) and radius 5. Graph the given…

A: Solution:To solve the following questions.Formula:In a circle with center (h,k) and radius is r…

Q: x² + y² - 4х + 6у — 36 %3D 0

A: The standard form of equation of circle (X-h)2 + (Y-k)2 = r2 Where center of circle lies at (h,k)…

Q: Calculate the equation of the circle which is centered at the point of intersection of the lines…

A: We have to find the equation of circle whose center is the point of intersection of lines x+3y+3=0…

Q: Recall the equation for a circle with center (h,k)(h,k)and radius rr. At what point in the first…

A: Given, Equation  y=2.5x+2            ....(1) Circle with radius 5 and center (0, 2).

Q: 3. Find the general form of the equation of each circle with a) Center at (0,0) and passing through…

A:

Q: 18. Sketch the graph of a circle whose equation is x +y² + 10x - 6y = 2.

A:

Q: Sketch the graph of the equation x² + y² + 8 x + 10 y – 7 = 0 by first showing that it represents a…

A: The given of circle is x2+y2+8x+10y-7=0 We know that any equation of second degree…

Q: What is the equation for the circle with the center point M (-2,3) and tangent to the line…

A:

Q: What is the equation of the circle in standard form whose endpoints of a diameter are at A(4, – 5)…

A: Given query is to find the equation of the circle.

Q: the circle (x-2)^2+(y-5)^2=16 is moved up 3 units and to the left 1 unit. where is the center of the…

A:

Q: a. What is the best way of determining whether the given equation is a circle? b. How will you…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the equations of the osculating circles of the parabola y = 3(x – 2)2 at the points (2,0)

A:

Q: 3. Find the center and radius of the circle with equation x ^2+ y^2- 6x+ 10y+ 9= 0

A: To Determine: Find the center and radius of the circle with equation :

Q: Find an equation of the circle that satisfies the stated conditions.

A: Find an equation of the circle that satisfies the stated conditions. Given center of the circle C(4,…

Q: B. Find the equation of a circle (in general form) defined by the following. 6. center at (0,0);…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: find the standard form of the equation of the circle with the center (-1,5) and tangernt to the line…

A:

Q: I. Sketch the graph of the following circle equations. 1. x² + y + 8x – 6y = 22 2. x? + y - 2x + 4y…

A: NOTE: Refresh your page if you can't see any equations. . add 16 to both sides

Q: B. Write the equation of a circle with a radius of 5 and a center at (1,-2).

A:

Q: Recall the equation for a circle with center (h,k)(h,k) and radius rr. At what point in the first…

A: The equation of line y=0.5x+4the circle with radius 6 and center (0,4)

Q: Recall the equation for a circle with center (h,k)(h,k) and radius rr. At what point in the first…

A: Topic - intersection of line and circle

Q: Find the standard form of the equation of the circle. Center (2, 3) and tangent to the x-axis

A: The center of a circle is (2,3). The circle is tangent to the x-axis. We know that when the circle…

Q: 14. Find the radius and center of a circle with the equation x2 + y2 + 4x – 8y = 16.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: The center of a circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the…

A: We have to find the equation of circle in standard form.

Q: Recall that the standard form of the equation of a circle is (x - h)2 + (y - k)2 = r2. Thus, x2 + (y…

A: We know that standard equation of circle with center (h,k) and radius r is

Q: At what point in the first quadrant does the line with equation y=2.5x+4 intersect the circle with…

A: We will solve graphically as nothing is specified. We have that the radius of the circle is 5 and…

Q: Give the equation of the circle that is tangent to the y-axis and center is (-3, 4 .

A: Given that center of the circle (-3,2), it is given that y-axis is the tangent to the circle means…

Q: 1. Determine the center and the radius of the circle whose equation is given by x² + y² – 6x…

A: We have to find center

Q: Question 23 Give the coordinates of the center of the circle with the equation x²– 6x + y²=12-4y.…

A:

Q: 4. Find the center and radius of the circle given by this equation: x² - 10x + y + 6y - 30 = 0

A:

Q: 1. For the circle with equation (x – 2)² + (y + 3) = 9, answer each question. (a) What are the…

A: Given that, the equation of the circle, Compare the above equation with the standard equation of…

Q: Find the standard form of the equation of the circle. Center ( - 1, 3) and tangent to the line y = 2

A: To find: The standard form of the equation of the circle. Given information: Center ( - 1, 3) and…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.