100 points! explain well for brainliest

A

Step-by-step explanation:

Remember that the formula for the area of a triangle is:

In this case, our base will be the distance from the origin point (0, 0) to (x₁, y₁).

Our height will be the distance from the origin point (0, 0) to (x₂, y₂).

So, let's find each of the distances using the distance formula:

BASE:

Let's let (x₁, y₁) be itself and let's let (0, 0) be (x₂, y₂). Substitute this into the distance formula. This yields:

Simplify:

We can remove the negative:

And this is the length of our base.

HEIGHT:

Let' let (0, 0) be (x₁, y₁) and (x₂, y₂) be itself. Substitute them into our distance formula:

Simplify. So, our height is:

Therefore, substitute the base and the height for b and h in our equation yields:

We can combine the square roots by multiplying. So:

The answer choice that represents this is A.

So, our answer is A.

And we're done!

you should talk someone who owns the website about it. you did not deserve to have all that hard work and time taken away. id watch videos of little puppies to cool you down, and maybe some nacho cheese doritos.

ιт ιѕ (9χ^5+10)(81χ^10-90χ^5+100)

step-by-step explanation:

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