Writing algebraic expressions need help with homework

a. 2x-2

b. Samuel's cousin's age

Step-by-step explanation:

To write this expression, first figure out what your variable stands for. In this case, we want x to represent Samuel's cousin's age, since this is an unknown value that will help us determine Samuel's age. Next, we can create an expression. 2x-2 tells us that Samuel is two years younger (represented by the -2 part of the expression) than twice his cousin's age (represented by the 2x part of the expression).

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!

true

step-by-step explanation:

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