The endpoints of the diameter of a circle are (−2, −3) and (4, −1). Which equation represents the circle?
A) (x + 1)2 + (y − 2)2 = 10
B) (x − 1)2 + (y − 2)2 = 10
C) (x − 1)2 − (y − 2)2 = 40
D) (x − 1)2 + (y + 2)2 = 10

1. what are the missing reasons in the proof 2. it's in the second picture and 3

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.

Anew landowner is interested in constructing a fence around the perimeter of her property. her property is 1,080√30 feet wide and 500√20 feet long. what is the perimeter of the property? (recall that the perimeter is the sum of each side of a shape or boundary). a 1,580√40 feet b. 5,320√5 feet c. 3,160√20 feet d. 10,640√5 feet