The boundary of the lawn in front of a building is represented by the parabola y=x^2/16+x-2
The parabola is represented on the coordinate plane.
The building's entrance is located at the parabola's focus, which has the coordinates
The lawn's gate is located at the parabola's vertex, which has the coordinates
The building's front wall is located along the directrix of the parabolic lawn area. The directrix of the parabola is

d

step-by-step explanation:

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

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

could you provide figure.