*EXTRA POINTS* Answer the boxes :)
First Dropbox option is “A geometric or an arithmetic” second box options is “common difference or common ratio” third box you type in.

This is a geometric sequence and the common ratio is equal to ⅛.

Step-by-step explanation:

The sequence is a geometric sequence because if we multiply a term with ⅛, we will get the consecutive term in the sequence.

The common ratio = 8/64 = 1/8

Thus, it has a common ratio of ⅛.

If we multiply 64 by ⅛, we would have the next term in the sequence. Thus:

64 × ⅛ = 64/8 = 8

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²