Me calculate the distance between the given points by using the distance formula: a(8.5, 12) and b(-6.75, 7.5)

In this question is given to points, with coordinates A(8.5,12) and B(-6.75,7.5). It is asked to find the length between both points. The only way to find the solution is by using the Distance Formula, which is represented by
d=√(x2-x1)^2+(y2-y1)^2.

d=√(x2-x1)^2+(y2-y1)^2
d=√(8.5--6.75)^2+(12-7.5)^2
d=√(15.25)^2+(4.5)^2
d=√(232.5625)+(20.25)
d=√252.8125
d=15.90007862 or 15.90

The distance between the points A(8.5,12) and B(-6.75,7.5) is 15.90 units.

Step-by-step explanation:

Since the ratio is 4x:4x:7x, if we add all those numbers up we get 15. Then we do 75/15 to get what x equals. So we get 5. So x equals 5. Following the rules of multiplication, you do 4(5):4(5):7(5), and simplifying that further, you get 20:20:35. If we add all those values up, we should get 75, and we do!

If you're wondering why I did 4x:4x:7x instead of 4:4:7, it's because a ratio is just a...well ratio? It's easier to visualize if you put a variable because the variable could be anything, and you would have to multiply all the given values to get the same proportions. In summery, I did it so it was easier to visualize