The sum of three numbers is 27. The product of the first number times the third number is 56. The quotient of the second number divided by the first number is 1.5. If the first number is represented by x, the second number is represented by y, and the third number is represented by z, which of the systems of equations below can be used to determine the three numbers?

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.

2: 10

step-by-step explanation:

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