Answer:
let A (2, 6) be (x1, y1)
B (-5, 2) be (x2, y2)
distance AB =√[(x2 - x1)² + (y2 - y1)²]
√[(-7)²+ (-4)²]
√65
Answer:
- <u><em>About 0.22</em></u>
Explanation:
There are two sets:
- Set W of incoming seniors who took AP World History, and
- Set E of incoming seniors who took AP European History
And there is a subset, which is the intersection of those two sets:
- Subset W ∩ E of senior students who took both.
The incoming seniors who are allowed to enroll in AP U.S. History, call them the subset S, is the set of those students that belong to W or E or both W ∩E.
By property of sets:
- S = W + E - W∩E = 175 + 36 - 33 = 178
Then, 178 out of 825 incoming seniors took one or both courses, and the desired probability of a randomly selected incoming senior is allowed to enroll in AP U.S. History is:
Answer:
6
Step-by-step explanation:
Let the 4 people be A, B, C and D. If each of them shakes hands with another person exactly one time then that means
A shakes with B, C and D. So 3 handshakes
B already shakes with A. So B shakes with C and D. 2 handshakes
C already shakes with A and B. So C shakes with D only. 1 handshake.
D already shake hand with all above.
Total handshakes: 3 + 2 + 1 = 6
Answer:
The horizontal component of the force is 48 N.
Step-by-step explanation:
The angle that the rope makes with with the horizontal is 15°, that means, the horizontal component of the force 
is
Answer:
Step-by-step explanation:
If you meant f(x) = √x - 1, then the domain is [0, infinity).
If you meant f(x) = √(x-1), then the domain is [1, infinity).
When any ambiguity may rear its ugly head, use parentheses, as indicated here.
