<span>A = {2, 4, 6, 8, 10}
</span><span>B = {3, 5, 7, 9}
C = {2, 3, 5, 7}
N = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
1. A ∪ C = {2; 3; 4; 5; 6; 7; 8; 10}
2. A </span><span>∩ B = { } =</span>Ø
3. A ∩ N = {2; 4; 6; 8; 10} = A
4. B ∩ N = {3; 5; 7; 9} =B
5. B ∪ C = {2; 3; 5; 7; 9}
Answer:
D
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y + 1 |
Squaring both sides
(x + 5)² + (y - 5)² = (y + 1)^2 , that is
(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides
(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify
y² + 2y + 1 - y² + 10y - 25 = (x + 5)²
12y - 24 = (x + 5)² ← factor left side
12(y - 2) = (x + 5)² ← divide both sides by 12
y - 2 = (x + 5)² ← add 2 to both sides
y = (x + 5)² + 2
or
f(x) = (x + 5)² + 2 → D
Answer:
Step-by-step explanation:
Add the amounts together:
Convert the whole number 1 into a fraction with denominator 4:
As all the denominators are the same, we can simply add the numerators:
Finally, convert the improper fraction into a mixed number:
Answer:
x=4, y=-10, z=-10
Step-by-step explanation:
Answer: 56
Step-by-step explanation: first, you have to find the area of one triangle. The formula is A=bh1/2 . When you do that, you get 14. 14 is only one triangle, so multiply it by 4 and you get your answer, 56.