Question

Find the distance between W(−8,1) and Y(0,6). Round to the nearest tenth, if necessary.

Answer 1

d = 9.4

Step-by-step explanation:

To find the distance between two points use the formula to calculate the distance:


`d=√((x2-x1)^2+(y2-y1)^2)`
Substitute and solve:

`d=√((0--8)^2+(6-1)^2)`

`0--8=8`

`6-1=5`

`d=√(8^2+5^2)`
Solve the exponents and add:

`8^2=64\\5^2=25\\64+25=89\\`

`√(89)`

`√(89)=9.4339811320566*9.4339811320566`

`=9.4339811320566`

Round to the nearest tenth:

`9.4339811320566\\3 < 5\\=9.4`

Therefore the distance between the two points is 9.4 units.

I hope this helps.