To find the length of segment AC, we must find the total rise and total run between the two points.
Point C is located at (-5, 5). Point A is located at (3,-1). To find the rise, subtract the y-value of A from the y-value of C:

The rise of this segment is 6.
To find the run, subtract the x-value of A from the x-value of C:

The run of this segment is 8.
We can use the Pythagorean Theorem to find the length of this segment. The theorem uses the following formula:

The segment represents the hypotenuse, and the rise and run represent the legs of this segment. We know that the two legs' lengths are 6 and 8, so plug them into the equation:



Square root both sides to get c by itself:


The length of segment AC is
10.
Answer:
its a improper fraction
Step-by-step explanation:
The numerator is larger than the the denominator which makes it improper.
Step-by-step explanation:
2(3x-5)=5x-3
6x -10 =5x -3
x=7
Answer:
f(- 2) = 23
Step-by-step explanation:
substitute x = - 2 into f(x) and evaluate
f(- 2) = 3(- 2)² - (- 2) + 7 = 12 + 4 + 7 = 23