What is the distance between the points -4,4 and 3,-6 show the work

the distance formula is d= (x2−x1)²+(y2−y1)²

so plug in d=(3+4)²+(-6-4)²

simplify d=(7)²+(-10)²

d=49+100

d=149

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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