Tori has a wardrobe that is 85 inches tall, 35 inches wide and 25 inches long she wants a new wardrobe that is 90 inches tall 32 inches wide and 23 inches long. What is the difference in volume of the two wardrobes?

Step-by-step explanation:

The wardrobe has the shape of a cuboid. The formula for determining the volume if a cuboid is expressed as

Volume = length × width × height

Tori has a wardrobe that is 85 inches tall, 35 inches wide and 25 inches long. This means that the volume of the wardrobe is

Volume = 85 × 35 × 25 = 74375 inches²

She wants a new wardrobe that is 90 inches tall 32 inches wide and 23 inches long. This means that the volume of the new wardrobe would be

Volume = 90 × 32 × 23 = 66240 inches²

The difference in volume of the two wardrobes is

74375 - 66240 = 8135 inches²

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:

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: