What is the area of this figure?

Shoelace formula: you take the x-coordinates of all of the points and write them down, vertically, in order (clockwise or counter) until you write the first number twice. You do the same with the y-coordinates, next to the first list. Then, you multiply the x-coordinate to the y-coordinate that is one down, which makes a shoelace-like formation. Finally, you add all of the numbers on the left and right, find the difference, then divide the absolute value of that by 2.

#1

-1   4

2   2

2  -2

-2 -4

-5 -2

-5  2

-1   5

Left products: 8, 4, 4, 20, 10, -2

Right products: -2, -4, -8, 4, -10, -25

Sums: 44, -45

AV of Difference: 89

Area = 44.5 units²

#2

-1   2

1    5

3   2

3   -1

-5 -3

-5   2

-3   5

Left products: 2, 15, 6, 5, 15, -6

Right products: -5, 2, -3, -9, -10, -25

Sums: 37, -50

AV of difference: 87

Area = 43.5 units²

Step-by-step explanation:

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

something over 10 so ? /10

step-by-step explanation: