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Ad libitum [116K]
3 years ago
15

A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes. The coordinates afte

r both reflections are what
Mathematics
1 answer:
nata0808 [166]3 years ago
8 0

Answer:

The coordinates of the reflected triangle are X'(x,y) = (-3,-2), Y' (x,y) = (-5,1) and Z'(x,y) = (2,-3).

Step-by-step explanation:

Let be a point (a,b)\in\mathbb{R}^{2}, reflections across x- and y-axes are represented by the following operations:

x-Axis reflection:

d = d'

b - 0 = 0 - b'

b' = -b

y-Axis reflection:

d = d'

a - 0 = 0 - a'

a' = -a

If we know that X (x,y) = (3,2), Y(x,y) = (5,-1) and Z (x,y) = (-2, 3), the coordinates after both reflections are, respectively:

X'(x,y) = (-3,-2)

Y' (x,y) = (-5,1)

Z'(x,y) = (2,-3)

The coordinates of the reflected triangle are X'(x,y) = (-3,-2), Y' (x,y) = (-5,1) and Z'(x,y) = (2,-3).

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Answer:

The simplified expression is given as

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Step-by-step explanation:

step one:

Given the expression

x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)

step two:

First, let us open the bracket we have

x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\

step three:

collect like terms we have

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