As a hurricane strengthens an eye begins to form at the center of the storm. At a wind speed of 80 mph the eye of a hurricane is circular when viewed from above and is 30 miles in diameter. If the eye is located at map coordinates (x, y) = (3, 4), find an equation, in standard form, of the circle that models the eye of the hurricane.

Q: Which are the center and radius of the circle with equation (x+5)^2 + (y-4)^2 = 9?

A: Given , (x + 5)2 + (y - 4)2 = 9 (x + 5)2 + (y - 4)2 = (3)2  ......... (1)  We know that ,  The…

Q: Find an equation of the circle whose diameter has endpoints (-5, 6) and (1, - 2). O=0

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Q: Find an equation of the circle whose diameter has endpoints (-5,6) and (1,-2).

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Q: Find the standard form of the equation of the circle. Center at the origin and containing the point…

A: We have to find the standard form of the equation of the circle   Center of the circle is at the…

Q: find the equation of the circle whose endpoints of diameter are (-2,0) and (2,4) in standard form

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Q: Find the standard form of the equation of the circle. Center (1, 0) and containing the point ( - 3,…

A: Given: Center (1, 0) and containing the point ( - 3, 2)

Q: Find an equation for the set of points equidistant from the x-axis and the y-axis.

A: Let the point be (x,y,z) which is equidistant from the x-axis and the y-axis. Concept used:

Q: The point that is 2 units to the left of the y-axis and 4 units above the x-axis has coordinates (,.

A: A point which is a units to the left of y-axis and b units above the x-axis is given by the…

Q: Find an equation of the circle whose diameter has endpoints (-2,3) and (4,5).

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Q: A circle has the equation x2 + 6x + y2 - 8y - 75 = 0. What are the coordinates of the center and…

A: we will change it in standard form and compare.

Q: Find the center & radius of the circle given by this equation: x² + y²- 8x + 4y - 16=0

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Q: Find the equation of the circle with center (-10,-4) and passing through the point (4,-2)

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Q: Find the equation that is perpendicular to y = 2x – 1 and passes through the point (2,3). What is…

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Q: find The equation of the circle if its diameter has on end points of (6,1), (-2,3)

A: Solve by geometry

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: Find the center of the circle whose equation is x^2 + y^2 + (-4x) + 6y -3 = 0.

A: Find the center of the circle whose equation is x^2 + y^2 + (-4x) + 6y -3 = 0.

Q: What is the center-radius form of the equation of the circle with center (4,0) and radius 5

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Q: Find the point on the y-axis which equidistant from the point A (6,5) and B (-4,3)

A: Please refer to the image below

Q: Find the equation of the circle if its diameter has an end points of (6, 1) and (-2, 3)

A: Suppose A6 , 1  and  B-2 ,3 be the endpoints of the diameter, O be the center and r be the radius of…

Q: Find the equations of the curve for which y" = 6x2 and which passes through the points (0,2) and…

A:

Q: Find an equation of the circle whose diameter has endpoints (3,-2) and (-5,-4).

A: The endpoints of the diameter are : x1,y1 = 3,-2 x2,y2 = -5,-4 To evaluate : The equation of the…

Q: Find an equation of the circle whose diameter has endpoints (-4, 5) and (6, -3). O=0

A:

Q: Find the equation of a circle that has a diameter with endpoints (-1,0) and (11,0). Then state the…

A: The standard form of the equation of a circle is (x-a)2 + (y-b)2 = r2 the midpoint can be calculated…

Q: Find an equation of the circle whose diameter has endpoints (5, -6) and (3, 4). O=0

A: Equation of circle

Q: A circle has an area of A=36r and a center of (-4,0). What is the standard form equation of this…

A:

Q: Write the equation of OB with center B(- 2, 3) and radius 10.

A:

Q: What is the equation of a circle with center (2, 3) and radius 7? (Put a zero if the answers are…

A: Use the standard form of equation of circle when centre and radius are given.

Q: Write the standard equation for the circle whose center is at (8,9) and whose radius is 4.

A:

Q: What are the coordinates of the center and length of the radius of the circle whose equation is x² +…

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Q: what is the equation of the circle if it has a center at (6,0) and diameter equal to 12 units?

A: To find the equation of the circle if center is at (6,0) and diameter equal to 12 units. Solution:…

Q: Find the standard equation of the circle whose center is the point ( - 1, 2) if (3, 5) is a point on…

A: The general equation of circle is given by: (x-h)2+(y-k)2=r2 where (h,k) is the center and r is…

Q: Find the center and radius of the circle whose equation is x² + 10x + y² – 5y + 4 = 0. The center of…

A:

Q: +2

A: X Intercept when graph crosses x axis Y intercept when graph crosses y axis

Q: A Ferris wheel has a maximum height of 236 feet and a wheel diameter of 220 feet. Find an equation…

A: Step 1Given : Maximum height = 236 feat.             Wheel diameter   = 220 feat.            Wheel…

Q: Find an equation of the circle whose diameter has endpoints (-1, 3) and (1, - 5).

A: The circle whose diameter has endpoints -1,3 and 1,-5

Q: Find the equation of a circle whose center is at (4,-5) and radius 9.

A:

Q: A pizzeria will only deliver to locations within a certain distance of the pizzeria. The delivery…

A: The delivery region is in circular shape has an area of 36pi square miles.  Let r be the radius of…

Q: Write the equation of the circle with center C (1, −2) and radius 2.

A:

Q: find the equation of a circle whose diameter has endpoints (-3,-3) and (-3,6)

A: We have been given endpoints of diameter of circle as (-3,-3) and (-3,6) and we need to find the…

Q: As a hurricane strengthens an eye begins to form at the center of the storm. At a wind speed of 80…

A:

Q: Find the abscissa of the center of circle with equation 3x^2 + 3y^3 - 21x + 24y = 16

A:

Q: Find  an ordered pair(x ,y) that is a solution to the equation  5x-y=1

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Q: A pizza delivery area can be represented by a circle, and extends to the points (3,13) and (-9,13)…

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Q: Give the center and radius of the circle whose equation is x2 +y2 - 18=0

A: Let C(h, k) be the centre of the circle and P(x, y) be any point on the circle. Therefore, the…

Q: Find an equation of the circle whose diameter has endpoints (-2, -3) and (4, 5).

A: We can write the equation of circle as below.

Q: The endpoints of a diameter of a circle are A (6, 5) and B (4, -1). What is the standard equation of…

A: The endpoints of a diameter of a circle are A(6,5) and B(4,-1). What is the standard equation of the…

Q: Give the center and radius of the circle whose equation is x2+y2-18=0

A: The given problem can be solved as follows:

Q: Find an equation of the circle having the given center and radius. Center (-3, 9), radius 2

A: Given,           Center -3,9 and radius 2We know that,           The standard equation of the circle…

Q: Find the standard form of the equation of the circle whose diameter is the line segment joining (-2,…

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Q: A planetary orbit can be expressed by the equation x^2/3600+y^2/3249=1. What is the length of the…

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