I do it differently  - I just wanted to check that we get the same answer.  :)

I am expanding across the top row. :)

1(-1--2)-0+1(0--2) = 1+2=3

I have no idea how you did that Chris but I have seen some strange stuff like that in video clips before I think. :)

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Sorry, I meant square feet and I was thinking it was 48 sq feet.  Wrong one 2 counts.

I will try that again.

2 in = 0.0508 m

No not quite.

infinty+infinity=infinity

Why are you using pi - there are no circles here.  It is not a cone!

Volume of a square pyramid

$$\\V=\frac{1}{3}*l^2*h\\\\
1024=\frac{1}{3}*l^2*12\\\\
1024=4*l^2\\\\
256=l^2\\\\
l=16inches$$

 2/12+1/(6)-7/30     ......notice that 2/12 = 1/6......so we have

1/6 + 1/6  - 7/30  =

2/6  - 7/30  =

1/3  - 7/30        now....the common denominator is 30, so.....

10/30  - 7/30  =

3/30  =

1/10

i meant 5y^2-y+12

M.A. = output force ÷ input force

= output÷ (output/5)

= 5 

-30 and 12  will do the trick.....

yes, because yes-infinity=infinity and infinityx2=yes

We need to know the height and the length of a side.

The slant height is given by

√[(1/4)s^2 + h^2]    where s is the side length and h is the height

Alternatively...if we know the height and the angle  - θ  -  that the side of the pyramid makes with the base along one edge [ not at a vertex, though!!! ], we can use

slant height = height / sin θ  

What is the mechanical advantage of a machine in which the input force is one-fifth of the output force?

 Copy the first two columns again

1  0  1    1  0

0 -1 -2   0  -1

2   1  1   2   1

The determinant is  give by    [( 1 * -1 * 1) + (0) + (0)] - [ (2 * -1 * 1) + (1 *-2 * 1) + 0] =

(-1) - [ -2 + -2] =

-1 - [ -4] =

-1 + 4  =

3

√77=8.77

anothaer name for inverse tangent is arctan (i think)

radius is half of the diameter

 (x^2 - 4x)/(sqrt(x))    We could use the quotient rule here, but we can simplify this, thusly...

x^2/x^(1/2)   -  4x / x^(1/2)  =

x^(3/2)  - 4x^(1/2)     ...and now it's easy.....

The derivative is

(3/2)x^1/2 - 2x^(-1/2)

And that's it....!!.....no messy quotient rule to worry about.....!!!

7/ 8  = .875

To find the hypotenuse:

Square the 8   .....Square the 6

Add the squares together

Take the square root of this result  .... this will be the hypotenuse.....

Hint......the answer has "zero" as its last digit  !!!

What is the object...a cone???  ....a cylinder???

-9 - (-9) =

-9 + 9 =

0

(4,-1),(-2,2/5)

The slope =   change in y / change in x =

[ 2/5 - (-1)] / [-2 - 4]  =

[2/5 + 5/5] / [ -6 ]  =

[7/5 ] / [- 6] =

-7 / 30

 I don't know