Final answer:
To find 3/5 of the distance between (-1,-20) and (9,20), you first need to find the total distance between the two points using the distance formula. Then, you can find 3/5 of this distance by multiplying the total distance by 3/5.
Step-by-step explanation:
To find 3/5 of the distance between (-1,-20) and (9,20), we first need to find the total distance between the two points. We can use the distance formula:
√[(x2-x1)² + (y2-y1)²]
Plugging in the values, we have:
√[(9-(-1))² + (20-(-20))²] = √[(9+1)² + (20+20)²] = √[10² + 40²]
Calculating the square root gives us the total distance between the two points. Then, we can find 3/5 of this distance by multiplying the total distance by 3/5:
3/5 * √[10² + 40²]
Simplifying the expression gives the final answer.