geno3141

The rocket starts from point (0,0) and hits the ground at (111,0). 

The vertex of the parabola will occur halfway between these two points, at x = 55.5, y = 72.3

An equation of the parabola will be:  y  =  a(x - 55.5)² + 72.3

To find the value of a, use the point (0,0):  0  =  a(0 - 55.5)² + 72.3   -->  0  =  a(3080.25) + 72.3

      --->   a  =  -.02354

Equation:  y  =  -0.02354(x - 55.5)² + 72.3     --->   y  =  -0.02354x² + 2.6126x 

Find the first derivative:  y' = -0.04708x + 2.6126

At x = 0:  y'  =  2.6126   <--- this is the slope at x = 0;

                the angle will be the invtan(2.6126), which is approx 69°

the last three digits, 199, are rounded to 200; the rest of the digits remain as they are.

The slope-intercept form for a straight line is:  y  =  mx + b

where m is the slope and b is the y-intercept.

So, solve the equation for y (get y alone on one side):

    3y + 6x  =  -24

subtract 6x from both sides:

    3y  =  -6x - 24

divide both sides by 3:

      y  =  -2x - 8

m = -2    <---   slope

b = -8   <---  y-intercept

To graph the line, place a dot on the y-axis at -8; then find more points by using the slope of -2,

which means move to the right one mark and down two marks, place a dot there, move to the right another mark and down another two marks and place a dot there ...  Connect all the dots with a straight line.

98 - 12  =  86

what - 13  =  86?

add 13 to 86 and get 99

You can use the calculator at this site; you answer will be approximately 10^308.

For the product of two numbers to be positive (that is, > 0), either they are both positive or both negative.

Case 1:  both positive:

     2x - 3 > 0     and     4x + 5 > 0

           2x > 3                    4x > -5

            x > 3/2    and         x > -5/4      --->   x > 3/2

Case 2:  both negative:

     2x - 3  <  0     and     4x + 5  <  0

           2x <  3                      4x  <  -5

             x  <  3     and          x <  -5/4     --->  x <  -5/4

Answer:  all the values of x that are either less than -5/4 or greater than 3/2.

If you can use only real numbers, it has no factors; there are factors over the complex numbers.

Do you need it factored over the complex numbers?

x + 3/4  =  5 1/4

Subtract  3/4  from both sides:

x  =  5 1/4  -  3/4  =  4 1/2

As a decimal  77%  is  0.77.

"of" means "times"

so:  0.77 x 800  =  616