Sec 1.1-1.2 Pre-calculus Honors

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)

  Radius = 5 units

• Center (4,3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle?

• (x+1)² + (y +1)² = 3

• (x+1)² + (y -1)² = 3

• (x+1)² + (y +1)² = 9

• (x-1)² + (y -1)² = 9

Tags

CCSS.HSG.GPE.A.1

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36

• (x - 5)² + (y + 2)² = 6

• (x + 5)² + (y - 2)² = 36

• (x + 2)² + (y - 5)² = 6

Tags

CCSS.HSG.GPE.A.1

Find the center of the circle if the endpoints of a diameter of the circle are at (-12, -7) and (3, 5)

• (-9/2, -1)

• (-15/2, -6)

• (9/2, 1)

• (15/2, 6)

Tags

CCSS.HSG.GPE.A.1

Which points lie on the circle represented by the equation (x+2)² + (y+2)² = 5²

• (-2, -2)

• (6,4)

• (8,8)

• (-6, -5)

• (-2, -7)

Tags

CCSS.HSG.GPE.A.1

Determine the quadrant(s) in which (x,y) is located so that the condition is satisfied. 

 $x=2\ and\ y<-7$ 

• Quadrant 2

• Quadrant 4

• Quadrants 1 and 4

• Quadrants 2 and 4

• Quadrants 3 and 4

Kenya and Pete met up at Starbucks and then drove home separately. Kenya drove 3 miles west and Pete drove 8 miles north. How far apart do Kenya and Pete live. Round to the nearest hundredth.

(a)  

Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school? 

• 14 blocks
• 12 blocks
• 10 blocks
• 8.5 blocks

Tags

CCSS.8.G.B.8

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

• (1,5)
• (2,10)
• (7,2)
• (1,2)

Tags

CCSS.HSG.GPE.B.6

Which quadrant has a negative x value but a positive y value?

• II
• III
• IV

Tags

CCSS.HSF-IF.C.7A