Answer:

Step-by-step explanation:
we have the points
(-9,7) and (-6,-3)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values


step 2
Find the equation in point slope form

we have


substitute
---> equation in point slope form
step 3
Find the equation of the line in slope intercept form

we have

Isolate the variable y
Distribute right side

subtract 3 both sides


Answer:

Step-by-step explanation:

Apply Rational Root Theorem, our possible roots will be
plus or minus( 2/15, 2/5,2/3,2, 1/15,1/5,1/3,1).
I
I tried root -2 and it work so
If we apply synthetic dividon, we would be left with

We can factor this regularly.
Apply AC method that a number
AC will multiply to 15 but add to -8.
The answer are -5 and -3 so we write this as

Factor by grouping


So our factor are

You have a triangle and 1/2 of a circle
(1/2)bh + (1/2)3.14r^2. Radius is (1/2)(3.6) because the drawing shows the diameter
of a half-circle so radius is half of that or 1.8
(1/2)(3.6)(4.8) + (1/2)(3.14)(1.8^2)
8.64 + 5.0868
13.7268 rounds to 13.7