Which is a rule that describes the translation of a point from (–5, 4) to (–1, 2)?
A. (x, y) arrow(x – 4, y – 2)
B. (x, y) arrow(x + 4, y – 2)
C. (x, y) arrow(x + 4, y + 2)
D. (x, y) arrow(x – 4, y + 2)

B

Step-by-step explanation:

Given the translation (- 5, 4 ) → (- 1, 2 )

Note the x- coordinate of the translation is 4 more than the x- coordinate of the original x- coordinate, that is - 5 → - 1 is + 4

The y- coordinate of the translation is 2 less than the y- coordinate of the original y- coordinate, that is 4 → 2 is - 2

Thus the translation rule is

(x, y ) → (x + 4, y - 2 ) → B

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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