(-3,5), (6,2)
What is the point-slope form of the equation of the line?

y -5 = -1/3(x+3)

Step-by-step explanation:

The point slope form formula indicates that   y - b = m(x -a) where  m is the slope, b is the y coordinate of a given point while a is the x coordinate of the same given point.

We will use the first point with the x coordinate  -3 and y coordinate 5 to to write the equation but first we need to find the slope.

The slope is the difference between the y coordinates divided by the difference between the x coordinates.

Y coordinates;    5- 2 = 3

x coordinates:   -3-6 = -9

Slope: -3/9 = -1/3  

Equation: y - 5 = -1/3(x -( -3)   reduce it to  y -5 = -1/3(x+3).

The perimeter of triangle is 23.7 in

Step-by-step explanation:

Please find the attachment for figure.

A right angle triangle measure 30°, 60° and 90°

whose hypotenuse is 10 inches

Let the side of triangles be a, b and c

where a and b are legs and c=10

Using trigonometry ratio:

The sides of right angle triangle are 10 in, 5 in, 8.66 in

Perimeter of triangle = a + b + c

                                    =  8.66 + 5 + 10

Perimeter of triangle = 23.66 ≈ 23.7 in

Hence, The perimeter of triangle is 23.7 in