Answer:
The dimensions are 50 and 100 square foot
Step-by-step explanation:
Let x = length of fenced side parallel to the side that borders the playground
y = length of each of the other two fenced sides
Then, x + 2y = 200
<=> x = 200-2y
The Area = xy = y(200-2y)
The dimensions of the playground that will minimize the homeowner's total cost for materials when the area of the playground is maximum. He can cover more area but with the same cost.
The graph of the area function is a parabola opening downward.
The maximum area occurs when y = -200/[2(-2)] = 50
=> x = 100
So the dimensions are 50 and 100 square foot
Multiple both ratios by a least common denominator
the least common denominator for both is 15
multiply the first ratio by 3/3
9/15=9/15
both are equal because when multiplying by the least common denominator you get the same answer
Cameron has 12 fish.
The denominator in 1/3 tells you that there are THREE equal parts in the whole group. Draw 3 circles to show THREE equal parts.
Since 4 fish are 1/3 of the whole group, draw FOUR counters in the first circle.
Since there are FOUR counters in the first circle, draw FOUR counters in each of the remaining circles. Then find the total number of counters.
So Cameron has TWELVE fish in his tank
The equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
slope=5
and passes throught (-2,-1) is
-2=x1
-1=y1
y-(-1)=5(x-(-2))
y+1=5(x+2)
B is answer
Its 4 plus i square root of eleven
