Answer:
B
Step-by-step explanation:
I would use the Pythagorean theorem to solve distances between 2 points, and this case is no exception.
We need to find the positive difference in their x coordinates and y coordinates.
The difference in x coordinates: 7
The difference in y coordinates: 8
Now we can use the Pythagorean theorem:
7^2+8^2 = x^2
49+64 = x^2
113 = x^2
x = sqrt(113)
Therefore, the answer is B.
Answer: 5
One half of 10 is 10/2 or 1/2(10)
10/2 = 5
1/2(10) = 5
These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).
To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.
f(x) = 6x - 18
f(x/3) = 6(x/3) - 18
To simplify, we should distribute the 6 on the right side of the equation.
f(x/3) = 6x/3 - 18
Now, we can divide the first term on the right side to finalize our simplification.
f(x/3) = 2x -18
Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.
f(x) = 6x - 18
f(x)/3 = (6x-18)/3
This means that we must divide each term of the binomial by 3, so we are really computing
f(x)/3 = 6x/3 - 18/3
We can simplify by dividing both of the terms.
f(x)/3 = 2x - 6
Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.
Hope this helps!
Answer:
It would be 2 times the old perimeter.
