Calculate the perimeter of a triangle with vertices (-9,-1)(-1,-1)(6,5)

34.79 (length units)

Step-by-step explanation:

To calculate the perimeter, we need to add up all the sides.

We use Pythagoras Theorem to calculate the side, taking the differences of the coordinates of the vertices, squaring and taking square-root.

Side 1:  between (-9, -1) and (-1,-1)

Differences in coordinates: 8,0 => length = 8

side 2: between (-1,-1), (6,5)

differences in coordinates: 7,8, => length = sqrt(7^2+8^2) = sqrt(113)

side 3: between (6,5), (-9,-1)

differences in coordinates: 15,6 => length = sqrt(15^2+6^2) = 3sqrt(29)

Perimeter

= 8 + sqrt(113) + 3sqrt(29)

= 8 + 10.63 + 16.16

= 34.7856

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96