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.
So first you write out the problem -6x-5=37 then add 5 to both sides then you'll get 42 so now your problem will be -6x=42 once you have that divide -6 on both sides and you will get x= -7
hope that helps!
When any lines are parallel that means they have the same slope so the slope of the red line would also have a slope of -3/7
Answer:
4 units squared
Step-by-step explanation:
The area of the rectangle is 9 units squared
The area of the two wedge-shaped triangles on the outside of the larger triangle is 3 units squared. The final triangle area is 2 units squared. Thus 9 - 5 = 4 units squared.
Answer:
18
Step-by-step explanation:
one half times (four plus eight)
Writing mathematically
1½ ( 4+8)
Using BODMAS
we'll take the bracket first
1½ × 12
Change 1½ to improper fraction = 3/2
3/2 × 12 = 3×6
= 18
I hope this was helpful, please mark as brainliest