The number of DVD's sold at Fry's Electronics in a month was 920 and the number of DVD's sold decreased by 12 per month. The number of Blu-ray discs sold at Fry's Electronics in the same month was 502 and the number of Blu-ray discs sold increased by 26 per month. Write a system of equations to model th situation. If this trend continues, in how many months will the number of DVD's sold each month equal the number of Blu-ray discs sold each month? How many each disc is sold in that month?

where is the option given

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