George decides to walk from his home to Tina's house down the street. On the way, he stops at the gas station to get some snacks. He begins at (2,3), ends at (9,17), and stops at the gas station at (x, y). If the part to part ratio is 3:4, what is the coordinates of the gas station? (Type out as a coordinate)

c

step-by-step explanation:

i believe it is d.) buddhism and e.) hinduism

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