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A = 6.1 units²

Step-by-step explanation:

Δ ABC and Δ A'B'C' are congruent, since the translation only shifts their position , but does not change their dimensions, then

AB = A'B' = 6.1

The area (A) of the triangle is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 2 and h = 6.1 , then

A = × 2 × 6.1 = 1 × 6.1 = 6.1 units²

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

choose (5, 1.5) and (-1.5,-3.5)

step-by-step explanation:

5 - 1.5 =3.5

-1.5 - (-3.5) = 2

3.5 + 2 =5.5

hope this !