Answer: {f(x)∈R∣f(x)≥0}
Step-by-step explanation: The square root function never produces a negative result. Therefore, for the function f(x)=√x+5 , the domain is {x∈R∣x≥−5} and the range is {f(x)∈R∣f(x)≥0} .
First, find the missing leg of ΔBCD (line BD). Using the Pythagorean Theorem, subtract (5^2)-(3^2) [25-9], and you get 16. Find the square root of 16, and you get <em>4</em> for line BD. Now, you can find AB. Add (7^2)+(4^2) [49+16], and you get 65. Now, since 65 isn't a perfect root, just use √(65)
Answer: Line AB equals √(65).
Answer:
The system has infinite solutions described in the set 
Step-by-step explanation:
The augmented matrix of the system is ![\left[\begin{array}{cccc}-1&-1&-1&4\\2&1&0&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-1%26-1%26-1%264%5C%5C2%261%260%262%5Cend%7Barray%7D%5Cright%5D)
.
We apply row operations:
1. We add the first row to the second row twice and obtain the matrix ![\left[\begin{array}{cccc}-1&-1&-1&4\\0&-1&-2&10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-1%26-1%26-1%264%5C%5C0%26-1%26-2%2610%5Cend%7Barray%7D%5Cright%5D)
2. multiply by -1 the rows of the previous matrix and obtain the matrix ![\left[\begin{array}{cccc}1&1&1&-4\\0&1&2&-10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%261%261%26-4%5C%5C0%261%262%26-10%5Cend%7Barray%7D%5Cright%5D)
that is the reduced echelon form of the matrix associated to the system.
Now we aply backward substitution:
1. Observe that the reduced echelon form has a free variable, then the system has infinite solutions.
2.
3.
.
Then the set of solutions is
Answer: $272,500
I hit this by first doing the step by step things and then adding all of them up.
Answer:
4
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
If you add 2 and 4, you will get 6. This is the right answer because the only answer that is incorrect is the 4th, it has to equal a minimum of 7, not 6.
