DISCOVER: Circle, Point, or Empty Set? Complete the squares in the general equation x? + ax + y + by + c = 0, and sim- plify the result as much as possible. Under what conditions on the coefficients a, b, and c does this equation represent a cir- cle? A single point? The empty set? In the case in which the equation does represent a circle, find its center and radius.

Q: Two pens and one eraser cost $3.50. Three pens and four erasers cost $6.50. Find the cost of one pen…

A: Two pens and one eraser cost is $3.50. Three pens and four eraser cost is $6.50

Q: 9x²+36x+27 =0

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Q: Solve each parallelogram for the missing variables.

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Q: A farmer plans to fence in a rectangular pasture adjacent to a river (see figure below). The pasture…

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Q: e at 49 б.3 b° 14.9

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Q: Find the axis of symmetry and zeros

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Q: A farmers market is set up as a quadrilateral bounded by four streets shown in the table. Classify…

A: Let,  L1:-2x+3y=18 represents Taft road L2:y3=-x-5 represents Harding lane.  L3:3y=2x+6 represents…

Q: 1) 5=3+ 4a – 5a - 3) 4+3k-6k=-11

A: 1) 5=3+4a-5a 5=3-a

Q: Write an equation in standard form given the following zeros. 10. Zeros: 6-1, 6+ i, 8, -1 11. Zeros:…

A: Here we have to find the equation.

Q: State the center and exact radius of the circle with the equation: (x + 3)? + (y + 9)² = 54 Write…

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Q: n art gallery displays a large painting in the center of a wall that is 24 feet (ft) wide. The…

A: Given  Width of wall=24 ft  Width of painting=10 ft

Q: Here is the equation of a circle: (x- 2)2 + (y +7)2 = 102 1A. What are the center and radius of the…

A: Solution )A) ( x - 2)2 + ( y + 7)2 = 102 Equation of circle  ( x - h )2 + ( y - k )2 = r2 Centre = (…

Q: Set up equations to find the values of x, y, and z

A: The objective of the question is to solve for the variables x, y, and z in the given equations. The…

Q: 2. Complete the square to rewrite the equation into vertex form. у %3- 2х2 + 16х — 25

A: Given:    y = - 2x2 + 16x - 25

Q: Complete the square in order to write the equation of the circle in general form. Use that answer to…

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Q: Find the lengths of the diagonals of rectangle WXYZ. WY = 24x- 8 XZ = -18x + 13 %3D The length of…

A: Use the properties of the rectangle, to determine the length of the diagonals. In the rectangle…

Q: Write the equation in the form (x-h)+(y-k)= c. Then, if the equation represents a circle, identify…

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Q: Write the standard form of the equation: 149x2-849x+181y2-227y+193441=0

A: To write : The equation 149 x2 -849 x + 181 y2 -227 y +193441 = 0   in standard form.

Q: Name: R Number: Forr 7. Complete the square and write the equation in standard form. Then give the…

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