The roots of the equation 2x² – 5 = 0 are 1) imaginary
2) real, rational, and equal
3) real, rational, and unequal
4) real and irrational
Will give brainlest to the correct answer

4

Step-by-step explanation:

x = root under 5/2

so it is real and irrational number

yes

step-by-step explanation:

yes

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