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x = 60 (degrees)

From x + 3y = -5, y = -x/3 - 5, so the slope of the line is -1/3. The slope of the new line is also -1/3, so y = -x/3 + B.  Pugging in x = 2 and y = -7, we get -7 = -2/3 + B, so B = -19/3.

Then the line is y = -x/3 - 19/3.  Then 3y = -x - 19, so 3y + x = -19.  We want the right-hand side to be 3, so we mutiply both sides by -3/19: -9/19*y - 3/19*x = 3.  Therefore, B - A = -19/3 - 3 = -28/3.

Thanks for trying!! But that is wrong. :(

[20^20] / [10^20] ==1,048,576 ==2^20 ==which has 20 + 1 ==21 divisors.

20^20 ==1.048576e+26 = 2^40 * 5^20 ==41 * 21 ==861 divisors.

The probability is: 21 / 861 == 1 / 41

The first derivative is the slope of a curve at any point along it and is tangent to the curve at that point.  

The first derivative of y = x² is 2x   so in order to satisfy y = x + k, then k would equal x.  That is x + x = 2x. 

c = cate now

m = 4 c  

in 6 yrs :    m+ 6 = 3 * ( c+6)      sub in red equation

                 4c  + 6 = 3 ( c+6)      solve for c

Twice as much mass (~weight) then twice as much stretch.

A = 1/2(1 + √3)²

Angle HCA = 180 - (90 + 43)

98 is tow standard deviations above the mean   ( 86 + 2 *6 = 98) 

Look at the Bell curve below....  

      approx   2.1% are above that

  For a more exact answer, look at your z-score tables to find z for 98   (2 s.d. above mean) = .9772

     so scores ABOVE would be   1 - .9772 = .0228      or   2.28% are above 98

P = 2[sqrt(12² + 18²)]

Just set the quations equal to each other

x^2 + 4x + 3 = x + 3

x^2 + 3x = 0

x = 0 or -3       we do not want x = 0  (per the question)

   so x = - 3      us this in either of the equations to find y = 0            (-3,0)

1 * cos 15 = x                  x= .965925

 side length = 2x 

area = 2x * 2x    =  3.732  units²

498  402 100  due to the triangle side length rule

11 teams   each with 'b' players      =     11*b

v+14>-15

v > -15 - 14

v > -29

The roots multiplied = 30

30 1      example   (x-30)(x-1)         x^2 -31x + 30   

10 3

15 2

 6  5

             Four polynomials are possible

4! = 24

When Adam finishes the race, Ben is 8 km behind and Charles is 12 km behind:

Which means: the distance between Ben and Charles is:

12 - 8 ==4 km

So, when Ben finishes the race, Charles is:

4 km behind him.

1945 / 2 ==972.50 

So, the smallest of the two numbers that is a multiple of 5 is:

970. The next multiple of 5 is simply

970 + 5 ==975

Because: 970 + 975 ==1945. So the third integer is simply: 975 + 5 ==980. So, the 3 numbers are:

970, 975, 980

a = k / b,  where k==constant of proportionality.

6 = k/ 3, solve for k

k ==3 x 6 ==18

a==k / b

a == 18 / 8 ==9 /4

a + b + c ==67,

a - b ==7,

b - c ==8, solve for a, b, c

Use elimination to get:

a = 89/3   and   b = 68/3 and   c = 44/3

It is an inverse relationship:

[4 painters  x  1.25 days] / 2 painters ==2.50 days to finish the same job. [This makes sense since you only have half the man-power, so it will take them twice as long to finish the sama job]

(1/9) / (1/27) ==3 - this is the common ratio

(1/27) / 3 ==1 / 81 - this is the 2nd term

(1/81) / 3 ==1 / 243 - this is the 1st term.

Your GP looks like this for the first 10 terms:

1 / 243 , 1 / 81 , 1 / 27 , 1 / 9 , 1 / 3 , 1 , 3 , 9 , 27 , 81 , >>Number of terms = 10>>Total Sum == 29524 / 243