Answer:
3 ft
Step-by-step explanation:
A cube is made of 6 equal faces each of which is a square with the same side length. The surface area of the cube is the surface area of one side multiplied by 6. We know the surface area is 54 so divide this by 6.
54/6 = 9 ft^2
Since the surface must be a square, take the square root of 9 which is 3 ft. The length of one edge of the cube is 3 ft.
3^3+9=77 if I'm wrong I'm sorry I just guess
Answer:
The third graph is correct
Step-by-step explanation:
Hiiii,
Since the sign is < and doesn't have a line underneath (or equal to), it means we have an open circle. We also know that the line has to go to the left because all the values that go to the left make the inequality true. If they go to the right, it won't be true because the value will be greater than 21 and we need it to be less than 21.
Hope this helps :)
We first have to find the first derivative before we can find the second. First derivative with respect to x is
so
and
. That's the first derivative. Now for the second it's probably easiest to use the quotient rule, even though it's usually long and drawn out. That looks like this:
![\frac{dy}{dx}= \frac{4y^2(-6x)-[-3x^2(8y \frac{dy}{dx})] }{(4y^2)^2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bdy%7D%7Bdx%7D%3D%20%5Cfrac%7B4y%5E2%28-6x%29-%5B-3x%5E2%288y%20%5Cfrac%7Bdy%7D%7Bdx%7D%29%5D%20%7D%7B%284y%5E2%29%5E2%7D%20%20)
which simplifies a bit to
. We will multiply both sides by that denominator to get rid of it which leaves us with
. Get both dy/dx terms on the same side, and then factor it out.
. Divide to isolate the dy/dx:
. There's no simplifying you could do after that that would make any significant difference.
Answer:
(1, - 8 )
Step-by-step explanation:
Given that P'( - 6, - 4 ) is the image of P(- 2, 3 )
Then the rule is (x, y ) → (x - 4, y - 7 )
Thus
A(5, - 1 ) → A'(5 - 4, - 1 - 7 ) → A'(1, - 8 )
