Answer:
13 miles
Step-by-step explanation:
The shortest distance would be a straight line between the two points. This would be a hypotenuse of a right triangle
We can use the Pythagorean theorem to determine the length
a^2+b^2=c^2
5^2 +12^2 = c^2
25+144= c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 = c
Answer:
4
Step-by-step explanation:
There are 5 points. So there are 4 segments. The segments are the line between two points.
8.3 is the decimal for the first model and for the second model it is 4.8. Now you just need to add them and you should get 13.1 as your answer. If helped mark me the brainiest!!
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
