The great pryamid of giza has a square base with both sides of length 756 feet. the height used to be 481 feet before erosion. workers of the pyramid could move and place 12,500 cubic feet of stone per day onto the pyramid. at the given work rate, how long did it take to complete the pyramid in years.
the mean and mad
table 3 represents a direct variation function. : )
5x + 3y = - 4
the equation of a line in standard form is
ax + by = c ( a is a positive integer and b, c are integers )
express the line first of all in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)
m = = -
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (4, - 8 ), then
- 8 = - + c ⇒ c = -
y = - x - ← in slope-intercept form
multiply all terms by 3 to eliminate the fractions
3y = - 5x - 4 ( add 5x to both sides )
5x + 3y = - 4 ← in standard form
center (1,3) with radius 6
we must complete the square to find the center and radius of the circle.
first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.
we now create space between the x and y terms with parenthesis.
we complete the square by taking the middle terms -2x and the -6y - divide each and square them.
we add the squares to both sides.
and write the quadratics in factored form.
the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.