Erica purchased adult and youth tickets for a movie. she bought x adult tickets for $7 each and y youth tickets for $5. write an expression that can be used to show the total cost, c, of all tickets.
a. c = 7x + 5y
b. c = (7 + 5)x
c. c = (7 + 5)(x + y)
d. c = 7y + 5x

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