Answer:
A) (-infinity, -7]U[-2, -1]
B) [-7, -5]
C) [-5, -2]U[-1, infinity)
9514 1404 393
Answer:
(x +3)² +(y -4)² = 145
Step-by-step explanation:
The center of the circle is the midpoint of the given segment PQ. If we call that point A, then ...
A = (P +Q)/2
A = ((-12, -4) +(6, 12))/2 = (-12+6, -4+12)/2 = (-6, 8)/2
A = (-3, 4)
The equation of the circle for some radius r is ...
(x -(-3))² +(y -4)² = r² . . . . . . where (-3, 4) is the center of the circle
The value of r² can be found by substituting either of the points on the circle. If we use Q, then we have ...
(6 +3)² +(12 -4)² = r² = 9² +8²
r² = 81 +64 = 145
Then the equation of the circle is ...
(x +3)² +(y -4)² = 145
Answer:
Step-by-step explanation:
she started off with 44 boxes
Answer:
4 mugs
Step-by-step explanation:
the longer side / the shorter side must be the same for rectangles to be similar.
For A: 105 / 80 = 1.32
For B: 120 / 90 = 1.33
For C: 100 / 75 = 1.47
So... only A and B are similar.