Answer:
out of
Step-by-step explanation:
Having a look at the graph, we will find that:
For speed: it is increasing along the x-axis
For height: it is increasing along the y-axis
This means that the function is linearly increasing.
Based on this, the correct choice would be:
D. As speed increases, height increases
-7.14 should be your answer!
Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
The solution is n= <u>+</u> 4i/√11
Step-by-step explanation:
step 1: 10n^2+n^2+16=0
step 2: 11n^2+16=0
step 3: 11n^2= -16
step 4: n^2= -16/11
step 5: taking square root on both sides,
n= √(-16)/√11 (square root of a negative number is a <u>complex term</u> 'i')
n= <u>+</u> 4i/√11