Question

Work out the length of AB. Give your answer to 3 significant figures

Answer 1

The measure of segment AB to 3 significant figures is approximately 9.85 units.

From the graph, segment AB is between the points (1, 7) and (10, 3 ).

To determine the length of segment AB, we simply use the distance formula:

`d = √((x_2 - x_1)^2 + ( y_2 - y_1 )^2)`

Since segment AB is between the points (1, 7) and (10, 3 ).

x₁ = 1 and x₂ = 10

y₁ = 7 and y₂ = 3

Plug these coordinates into the above formula and simplify:

`d = √((x_2 - x_1)^2 + ( y_2 - y_1 )^2)\\\\d = √(10 - 1)^2 + ( 3 - 7 )^2)\\\\d = √(9)^2 + ( -4 )^2)\\\\d = √( 81+ 16)\\\\d = √( 97)\\\\d = 9.85`

Therefore, the length measures approximately 9.85 units.

Answer 2

D = 9.80

Explanation:

To find AB, we'll use the distance formula:

Distance Formula =
`√((x2-x1)^2+(y2-y1)^2)`

D =
`√((10-1)^2+(3-7)^2)`

D =
`√((9)^2+(-4)^2)`

D =
`√(81+16)`

D =
`√(96)`

D = 9.80 (Upto 3 sfs)