11. a triangle has vertices at p(7,7), q(-3, -5), and r(5, -3).
a a) determine the coordinates of the midpoints of the three sides
of apqr.
b) calculate the slopes of the midsegments of apqr.
c) calculate the slopes of the three sides of apqr.
d) compare your answers for parts b) and c). what do you notice?

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

source:

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)

4.28095238095 that is the answer