geno3141

One possible set is:  1, 2, 3, 4, 9, 11, 12, 13, 14, 15

Median = 10

Mean = 8.4

Since DBA is a straight line   --->   7y + 5y  =  180   --->   12y  =  180   --->   y  =  15

Since  3y + 5y + x  =  180   --->   3(15) + 5(15) + x  =  180   --->   x  =  60

 25% of total scores = 13

 0.25 x total scores  =  13

            total scores  =  13 / 0.25  =  52

Before any deductions, you earned:  5 x 12  =  ...

All 5 statements are true.

The slope from A to B must equal the slope from B to C.

(k - 1) / (19 - 9)  =  (0 - k) / (7 - 19)

        (k - 1) / 10  =  -k / -12

         -12k + 12  =  -10K

                     12  =  2k

                       6  =  k 

Let  x  equal the length of a side of the larger square.

Let  y  equal the length of a side of the smaller square.

x² + y²  =  65

x² -  y²  =  63

Adding these equations together:  2x²  =  128     --->     x²  =  64

The length of the larger square is 8.

Substituting:  x² + y²  =  65     --->      8² + y²  =  65     --->     y²  =  1

The length of the smaller square is 1.

Find the perimeter of each square and add these lengths together.

Substituting:  f(-3/4)  =  8(-3/4)³ - 6(-3/4)² + 12(-3/4)  =  -15.75

If you know the lengths of two sides of a triangle (a  and  b) and the size of the included angle(C),

you can find the area by using the formula:  Area  =  ½·a·b·sin(C).

Area  =  ½·12·12·sin(150)  =  36

Step 1:  find the equation of the line that passes through the points (-1,7) and (3,-12):

   1)  Find the slope of the line:

           slope  =  (y₂ - y₁) / (x₂ - x₁)  =  (-12 - 7) / (3 - -1)  =  -19 / 4

   2)  Use the point-slope form to find the equation:

           y - y₁ =  m(x - x)     --->     y - 7  =  -19/4(x - -1)

                                                     y - 7  =  -19/4(x + 1)

                                                          y  =  -19/4x -19/4 + 7

                                                          y  =  -19/4x + 9/4

Step 2:  Replace the x-value in that equation with -6 and solve:

   y  =  -19/4(-6) + 9/4

   y  =  30.75