Find the solution to this system: Equation 1: 5x – 2y = -11 (2)
Equation 2: -2x + 5y = 17
Step 1: To create x-coefficients that are additive inverses,
Equation 1 can be multiplied by (2
Multiplying Equation 2 by will create
additive inverses for the x-coefficients.

2

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