-] 01:40:52
f(x)
What are all of the x-intercepts of the continuous
function in the table?
X
-4
-2
0
2.
4
6
2
8
2
0
-2.
O (0, 8)
O (-4, 0)
O (-4, 0), (4, 0)
O (4,0), (0, 8), (4,0)

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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