geno3141

You won't get a specific, definite answer, but you can get this:

Using the point-slope form for a line:  y - y1  =  m(x - x1)

--->  y - 5  =  m(x - 3)

--->  y - 5  =  mx - 3m

--->  y  =  mx  - 3m + 5

--->  -mx + y  =  -3m + 5

--->  (-m)x + y  =  -3m + 5

which is standard form with an unknown value for m.

Distance  =  Rate x Time

     1 m    =  38.8 m/s x t

Divide by 38.8:

     1 m / 38.8 m/s  =  t

    t  =  0.026 s

You can enter that into the calculator in exactly that form.

4/5 = 0.8

(5.62 + 4)^4  =  9.62^4  =  8564.466

-2/5  =  -0.4

(-5/2)^3  =  -15.625

0.8 + 8564.466 - 0.4 - 15.625  =  8549.241

To graph the point  (4/5,0)  find the point on the x-axis (the horizontal axis) that is 4/5 of a mark to the right of the origin.

To graph the point  (0,-4)  find the point on the y-axis (the vertical axis) that is 4 marks below the origin.

Draw the line that connect those two points.

To subtract, get both numbers to have the same (smaller) exponential form.

6.58 x 10^21  =  65.8 x 10^20

65.8 x 10^20  -  7.08 x 10^20    =    (65.8 - 7.08) x 10^20  =  58.72 x 10^20  =  5.872 x 10^21

But, this is too precise for the numbers that you were given; so round to get:    5.87 x 10^21

When  x = 3:     y  =  (-2/3)(3)  + 8/3  --->   y  = ...

When  x = 0:     y  =  (-2/3)(0)  + 8/3  --->   y  = ...

When  x = -3:    y  =  (-2/3)(-3)  + 8/3  --->   y  = ...

Complete these calculations. If you have trouble finishing this, post back.

Density  =  Mass / Volume

    3.5  =  9.1 / v

Cross-multiply:

    3.5 v  =  9.1

Divide:

    v  =  9.1 / 3.5  =  ???

I can't tell what the units are because the units for density is not complete.

To find  n / 7.8  when  n = 26.988,

calculate  26.988 / 7.8  =  3.46

Since you have a point  (5, 5)  and a slope  m = 3,  use the point-slope form:    y - y1  =  m(x - x1)

x1 = 5, y1 = 5, m = 3:        y - 5  =  3(x - 5)

Multiply out:                       y - 5  =  3x - 15

Add 5 to both sides:            y       =  3x - 10

Subtract 3x:                   - 3x + y  =  -10

Multiply by -1:                   3x - y  =  10

Rewrite    3x + x²  =  160         as         x² + 3x - 160  =  0  

Use the quadratic formula:          x  =  ( -b ± √( b² - 4·a·c ) / ( 2·a ) 

with     a = 1     b = 3     and     c = -160.