What are the factors of -36 that will sum to give you a -5?

4, and -9

Step-by-step explanation:

Well, to solve this problem, lets first list all the factors of -36.

-36 = 1*(-36)

-36 = 2 * (-18)

-36 = 3 * (-12)

-36 = 4 * (-9)

-36 = 6 * (-6)

-36 = 12 * (-3)

-36 = 18 * (-2)

-36 = (-36) * 1.

So, we can see that 4 + (-9) = -5.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

answer: i guess 5 units?

step-by-step explanation: