AnswersCR CCSS Math 2 S2 M2960OXPerformance Task: Circle Constructions

Equation of a Circle Answers

25 verified answers2 views
117503
Free Preview

A circle centered at the origin contains the point (0, –9). Does (8, ) also lie on the circle? Explain.

Question illustration
A
No, the distance from the center to the point (8, ) is not the same as the radius.
Option A
B
No, the radius of 10 units is different from the distance from the center to the point(8, ).
Option B
C
Yes, the distance from the origin to the point (8, ) is 9 units.
Option C
D
Yes, the distance from the point (0, –9) to the point (8, ) is 9 units.
Option D
117504
Free Preview

Consider a circle whose equation is x2 + y2 + 4x – 6y – 36 = 0. Which statements are true? Check all that apply.To begin converting the equation to standard form, subtract 36 from both sides.To complete the square for the x terms, add 4 to both sides.The center of the circle is at (–2, 3).The center of the circle is at (4, –6).The radius of the circle is 6 units.The radius of the circle is 49 units.

A
To begin converting the equation to standard form, subtract 36 from both sides.
B
To complete the square for the x terms, add 4 to both sides.
C
The center of the circle is at (–2, 3).
D
The center of the circle is at (4, –6).
E
The radius of the circle is 6 units.
F
The radius of the circle is 49 units.
117505

Question text not available

Answer:

117504

117506

Is Amit’s work correct?

A
No, he should have used the origin as the center of the circle.
B
No, the radius is 10 units, not 5 units.
C
No, he did not calculate the distance correctly.
D
Yes, the distance from the center to (2, –2) is not the same as the radius.
117507

The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?

A
No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
Option A
B
Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
Option B
C
No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
Option C
D
Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.
Option D

Did you find these answers helpful?

More from this Course

Assignment
13 verified answers

Equation of a Circle

Instruction
11 verified answers

Instruction

Instruction
10 verified answers

Instruction

Equation of a Circle Answers — CR CCSS Math 2 S2…