Answer:
The distance between the points (1, 7) and (10, 1) is 10.82 units
Explanation:
Distance between two points
The distance between points A(x,y) B(w,z) can be calculated with the formula:
![d=√((z-y)^2+(w-x)^2)](https://img.qammunity.org/2021/formulas/mathematics/college/95vr3jzfkf5u86tadftxej66au6d0x4mc3.png)
We are given the points (1,7) and (10,1), let's use their values and compute the required distance:
![d=√((1-7)^2+(10-1)^2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/5zvxuy9wil9gwvo2qwyfvql7srhq1ay5qm.png)
![d=√((-6)^2+(9)^2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/kxuhahsuj1hx3znt3tkxls0f3oa21uv7z6.png)
![d=√(36+81)=√(117)\approx 10.82](https://img.qammunity.org/2021/formulas/mathematics/high-school/w6zhbvfoeb6tlu4hivie1pwf9dfvbtpvdx.png)
The distance between the points (1, 7) and (10, 1) is 10.82 units