Answer:

Step-by-step explanation:
The union of two sets P and Q, denoted as
is the set of all elements that are in the set P or in the set Q or in both sets P and Q.
Given:
P = {7, 8, 9, 10, 11}
Q = {1, 2, 3, 4, 5}
Then

When writing the union set, simply write all elements from both sets in on set.
Answer:
Greater ; Greater
Smaller ; Greater
Step-by-step explanation:
Slopes
First row
A: 15/2
B: (25-12.5)/(4-2) = 12.5/2
A has a greater slope than B
-4x + 2y = 8
2y = 4x + 8
y = 2x + 4
A: 2
B: 3/2
A has a greater slope than B
Second Row
A: (2.6-2)/(3-0) = 0.6/3 = 0.1
B: (5-4)/(4-0) = 1/4 = 0.25
A has a smaller slope than B
A: 60
B: (325-50)/5-0) = 275/5 = 55
A has a greater slope than B
Answer:
The center is at ( (-1, -2) and the radius is 5.
Step-by-step explanation:
X^2 + 2X + Y^2 + 4Y = 20
Complete the square on the x and y terms.
(x + 1)^2 -1 + (y + 2)^2 - 4 = 20
(x + 1)^2 + ( y + 2)^2 = 25 Comparing this with the standard form:
(x - h)^2 + (y - k)^2 = r^2
- the center is at ( (-1, -2) and thr radius is 5.
First you would multiply 3/4 by 2 then multiply 1/2 by 4 and get 6/8 and 4/8.