Answer:
Step-by-step explanation:
The volume of the metal cuboid = length x width x height = 16 x 8 x 3 = 16 x 24 = 384 cm^3
If this same cuboid is going to be reshaped, then
The volume of the cuboid = The volume of the cube
Therefore,
l^3 = 384
l = ![\sqrt[3]{384}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B384%7D)
l = 7.268..
l = 7.27cm ( 2dp)
Hope this helps.
Reflection over the y-axis, translation 2 units down
No question is asked so I'm not sure what you are looking for but below I calculated the point where the two equations intersect:
y - x = 4 → y = x + 4
y = - x² + 6x
x + 4 = - x² + 6x
x² - 5x + 4 = 0
(x - 4)(x - 1) = 0
x = 4, x = 1
when x = 4, then y = x + 4 = 4 + 4 = 8 → (4,8)
when x = 1, then y = x + 4 = 1 + 4 = 5 → (1,5)
The line and parabola intersect at two points: (4,8) and (1,5)
1 1/4= 1*4+1 /4. Or 5/4
In order to subtract you must have same denominator. 5/4 -3/8
Multiply 5/4 times 2/2. =. 10/8. -3/8
The difference is 7/8