Mathematics, 26.12.2019 12:31, csteward5978

Atriangle is shown.

drag graphs to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, or the line y=x.

Atriangle is shown. drag graphs to the table to show the image of the triangle after it

Answers: 3

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answered: alexiss7026

The vertices of triangle after reflation across x-axis are (1,3), (3,2), (4,5).

The vertices of triangle after reflation across y-axis are (-1,-3), (-3,-2), (-4,-5).

The vertices of triangle after reflation across y=x are (-3,1), (-2,3), (-5,4).

Step-by-step explanation:

From the given figure it is clear that the vertices of triangle are (1,-3), (3,-2), (4,-5).

If a figure reflected over the x-axis, then

$(x,y)\rightarrow (x,-y)$

$(1,-3)\rightarrow (1,3)$

$(3,-2)\rightarrow (3,2)$

$(4,-5)\rightarrow (4,5)$

The vertices of triangle after reflation across x-axis are (1,3), (3,2), (4,5).

If a figure reflected over the y-axis, then

$(x,y)\rightarrow (-x,y)$

$(1,-3)\rightarrow (-1,-3)$

$(3,-2)\rightarrow (-3,-2)$

$(4,-5)\rightarrow (-4,-5)$

The vertices of triangle after reflation across y-axis are (-1,-3), (-3,-2), (-4,-5).

If a figure reflected over the y=x, then

$(x,y)\rightarrow (y,x)$

$(1,-3)\rightarrow (-3,1)$

$(3,-2)\rightarrow (-2,3)$

$(4,-5)\rightarrow (-5,4)$

The vertices of triangle after reflation across y=x are (-3,1), (-2,3), (-5,4).

Atriangle is shown. drag graphs to the table to show the image of the triangle after it is reflecte

answered: Guest

okay wait before i answer, is this for your points on a graph?

answered: Guest

(2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

step-by-step explanation:

simplify the following:

x/x^2 + 3 x + 2 - (x (x + 1))/(x + 2)

combine powers. x/x^2 = x^(1 - 2):

x^(1 - 2) + 3 x + 2 - (x (x + 1))/(x + 2)

1 - 2 = -1:

x^(-1) + 3 x + 2 - (x (x + 1))/(x + 2)

put each term in 1/x + 3 x + 2 - (x (x + 1))/(x + 2) over the common denominator x (x + 2): 1/x + 3 x + 2 - (x (x + 1))/(x + 2) = (x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)):

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2))

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)) = ((x + 2) + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2)):

(2 + x + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

3 x^2 (x + 2) = 3 x^3 + 6 x^2:

(2 + x + 3 x^3 + 6 x^2 + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

2 x (x + 2) = 2 x^2 + 4 x:

(2 + x + 6 x^2 + 3 x^3 + 2 x^2 + 4 x - x^2 (x + 1))/(x (x + 2))

-x^2 (x + 1) = -x^2 - x^3:

(-x^2 - x^3 + 3 x^3 + 6 x^2 + 2 x^2 + 4 x + x + 2)/(x (x + 2))

grouping like terms, 3 x^3 - x^3 + 6 x^2 + 2 x^2 - x^2 + 4 x + x + 2 = (3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2:

((3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

3 x^3 - x^3 = 2 x^3:

(2 x^3 + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

6 x^2 + 2 x^2 - x^2 = 7 x^2: