(2/3)x^2 -6x + 15 = 0
Using the quadratic formula:
x = [-b +-sq root(b^2 - 4 *a*c)] / 2a
x= [--6 +-sq root(36 -4*(2/3)*15] / 2*(2/3)
x= [6 +-sq root 36 -40] / (4/3)
x1 = 4.5 + (2i / (4/3))
x1 = 4.5 + 1.5i
x2 = 4.5 - (2i / (4/3))
x2 = 4.5 - 1.5i
Speedy cage is 2 inches taller than fluffy cage.
<h3>How to find the volume of a rectangular prism?</h3>
The volume of rectangular prism = lwh
where
- l =length
- h = height
- w = weight
Therefore,
height of fluffy cage can be calculate as follows:
4340 = 20 × 14 × h
4340 = 280h
h = 4340 / 280
h = 15.5 inches
height of Kenneth cage can be calculate as follows:
5250 = 20 × 15 × h
5250 = 300h
h = 5250 / 300
h = 17.5 inches
height difference = 17.5 - 15.5 = 2.0 inches
Hence, speedy cage is 2 inches taller than fluffy cage.
learn more on volume here: brainly.com/question/23997886
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Answer:
(2, 4).
Step-by-step explanation:
For y = -x the transform is:
( x, y ) reflects to (-y, - x)
So (-4, -2) reflects to (2, 4)
It’s should be the first one