CPhill

f(2)  = 6

The domain is all real numbers

The range is  [ -2, infinity  )

No......neither can be negative  [in real number terms ]

Call the scale factor, S  ....so...

448 * S^3  = 875

S^3  = 875/448

S^3  = 125 / 64       take the cube root of both sides

S  = 5/4

2.A prism with the base area of 8 cm^2 and a height of 6cm is dilated by a factor of 5/4. What is the volume of the dilated figure?

The original volume will increase by a cube of the scale factor

Original volume  =  8 * 6  = 48cm^3

So

48 * (5/4)^3  =

[48 * 125] / 64  =

[48/64] * 125  =

(3/4) * 125  =

93.75 cm^3

1.A rectangle with an area of 4/7 m^2 is dilated by a factor of 7.What is the area of the dilated figure? Do not leave your answer as a fraction.

The area is increased by a square of the scate factor....so.....

(4/7) * 7^2  =

(4/7) * 49

(49/7) * 4  =

7 * 4  =

28 m^2

ab=240       →  b = 240/a     (1)

cd=500    →  d = 500/c →  500/ (215/a)  →  500a / 215 → 100a/43

d-bc=455

ac=215   (4)  → c = 215/a

then, d=?

Put (1), (2), (4)  into (3)

100a/43  - [ 240/a] * [ 215/a]  = 455      multiply hrough by  a^2

(100/43)a^3  - 240*215  = 455a^2

(100/43)a^3 -  455a^2 - 51600 = 0

100a^3 - 19565a^2 - 2218800 = 0    →   a ≈ 196.23

So....d =100a / 43 =  [100*196.23] / 43 ≈ 456.348

Never heard of a "log of an angle".....

Sorry, Scruffy.....scratch that "not".....LOL!!!!