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slope = - 3/4   = (y1-y2)/(x1-x2)

                        = (-8-y)/(3-5)

                  6/4 = -8-y

                   y = -8 - 6/4 =   - 9 1/2

Yah...meters, not feet... the equation does not change....

Thanks a ton! 

P.s. it's meters not feet

(x,y) =     100,16      and     850 , 23.5

                slope =  (16-23.5)/(100-850)  = .01

y = .01 x + b       Plug in a point ot calculate b

16 = .01 (100) + b     b = 15

t^o = .01 d    + 15         t = temp   d = depth

Slope tells you the temperature gradient .... each additional 100 ft of depth = 1 degree warmer

Last part:    100 = .01(d) + 15            solve for d   at which t = 100^o C

Write an equation for the line with slope 3/2 that goes through the point (5,4).

(y-4) = 3/2 (x-5)       That's it....you can re-arrange to y = mx + b form if you like ...

I believe the answer you provided was incorrect although I could be mistaken. I believe the equation is (y2-y1)/(x2-x1).

sin^2 + cos^2 = 1     This is a trig IDENTITY you should know

acute angle means the angle is in Quadrant I    where   sin and cos are both positive.

There isn't any more steps.....can you be a little more precise as to what it is you do not understand?    ~EP

4 + 4! + 4!/4 + 1 =4 + 24 + 6 + 1 = 35 ways

(3 - 8)/(-8 - y) = -3/4 ==> y = -44/3

(1 + 12 + 123 + 1234 + 12345 + 123456 + 1234567 + 12345678) mod 9 = 3

n = 3

Draw a straight line from point M to point C.

∠CMB = ∠MCD = arctan(3 / 2) = 56.30993247º

∠DMX = 180 - 2 * 79 = 22º

∠CMX = 180 - [(2*∠CMB) + 22] = 45.38013505º

∠MCX = 1/2 (180 - ∠CMX ) = 67.30993247º

∠XCD = ∠MCX - ∠MCD = 11º  

sorry i am confused could you just explain in steps

1/6    +      1/8     +   1/p     = 1/2      solve for p = Peter's time painting alone

sin^2 + cos^2 = 1

sin^2 = 1- .6^2

sin = + 0.8    (positive because angle is acute

tan = sin/cos =  .8/.6 = 1 1/3

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arcsin(.3) =    ......... ^o

Case 1: Superball

The probability is 1/10, because you choose 1 out of 10.

Case 2: 2 whites

The probability is 1/C(10,2) = 1/45, because you choose 2 out of 10.

Case 3: 3 whites

The probability is 1/C(10,3) = 1/120, because you choose 3 out of 10.

Adding these, you get 1/10 + 1/45 + 1/120 = 47/360.

I plotted it using coordinates, and got the area of the triangle to be 15.

There are 45 possible seatings.

There are 6 ways of placing the beads.

As follows:

I got 6 degrees

360-179-145-30 = 6