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(1) The probability is 3/17.

The length of EF is sqrt(7).

The area of triangle DFE is 15/2.

The area of triangle BOE is 2*sqrt(3).

The probability is 4!*4!*4!*4!/12! = 4/5775.

m + b = 3 + 5 = 8.

The sum of all possible values of a/b is 1 + sqrt(3)*i/2 + 1 - sqrt(3)*i/2 = 2.

The maximum value is 274, and the minimum value is 60.

The answers are yes, no, yes, yes.

The answers are plane, plane, plane, line.

The answers are yes, no, no, yes.

By power of a point, TU = 6*sqrt(3).

The largest possible value of b is 1*3 = 3.

-3/2

When a line is parallel, the k value stays the same. The k value in this case is 4. but the 6 is subject to change. If you plug in 5 for the x and 10 for the y, the equation becomes 10 = 4*5+b. You can now see that b = -10. The equation becomes y = 4x-10. You are trying to find the x- intercept, so you plug in 0 for x and see that the y value becomes -10. The answer is -10.

you can find the answer here,

Since the volume is the cube of the side length, the side length is 4, meaning the surface area is 6*4*4=96 square centimeters

the line is y=4x-10, the y coordinate fo the point is -10 as that is the y intercept

Slope:5/3

y intercept:1

The answer is 201, but i don't know why

rate  * time = distance 

distance/rate = time 

     d = 200

x = original rate

200/x    =   200/(x+5) + 2      solve for x

200 (x+5)  =  200 x  + 2x (x+5)

200x + 1000 = 200x + 2x^2 + 10x

2x^2 +10x -1000 = 0                Use quadratic Formula    x =  20 km/hr   or  -25 (throw out)      Faster speed = 20 + 5 = 25 km/hr

200/20 = 10 hours          200/25 = 8 hours     Check !

I believe Rom ansewered this yesterday, and others have answered it multiple times in the past.....look it up....

Given:

3 h + 2 p = 15     and

5 h + 1 p  = 21.50            multiply this equation by -1

-10 h - 2 p = -43.00              and add this to the first equation

-7 h  = -28.00

h = $ 4

then     3 (4) + 2 p = 15

              12 + 2 p = 15       p = 1.50    

                        now you know price of   h   and  p   and can compute the total cost of 2 h and 4 p.....I'll let you do that !   

3^p = 3^2(27)^q

3^p = 3² (3³)^q

3^p= 3² (3^3q)

3^p = 3^(2+3q)

   so   p = 2 + 3q

log₂7 - log₂ (11q-2p) = 1     sub in    p = 2 + 3q

log₂7 - log₂ (11q-4-6q) = 1

log₂7 - log₂ (5q-4) = 1                        convert to log₁₀

log 7 /log2  - log(5q-4)/log2 = 1

log 7 - log (5q-4) = log2

log (5q-4 ) = log2 - log 7

5q-4 = .2857

q=.857142          then p = 4.571429                       

thx cPhill!!!!