Answer:
the taco stand would sell 37 tacos in 1/2 an hour.
The total cost of the least expensive fence would be $800.
To minimize perimeter and maximize area we take factors that are as close to equal as possible. In this case, the closest whole number factors are 200 and 100. Since the north and south faces cost less, we will make those 100 ft and make the more expensive east and west faces 200 ft.
100 ft × $2/ft = $200 per side × 2 sides = $400 for the north and south facing sides.
200 ft × $1/ft = $200 per side × 2 sides = $400 for the east and west facing sides
$400 + $400 = $800
The rule for a rotation by 180° about the origin is (x,y) -->(−x,−y)
So A(-3, 2) to A'(3, -2)
Answer:
A'(3, -2)
Answer: y = 5x − 11
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (3,4) and (2, -1),
y2 = - 1
y1 = 4
x2 = 2
x1 = 3
Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5
To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into
y = mx + c. It becomes
4 = 5 × 3 + c
4 = 15 + c
c = 4 - 15 = - 11
The equation becomes
y = 5x - 11
