You were painting a room in your house. Unfortunately, you lost the lid to the 5 gallon bucket of paint, but you only used half of the paint. You want to save the paint, so you plan on transferring it to a new container. The new container is shaped like arectangular prism. If there are originally 1,155
cubic inches of paint in the 5 gallon bucket, is your container big enough to fit the paint that is left over? Remember that half the paint is left in the
bucket.

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

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5