The point A(-3, -2) is translated using T: (x,y) → (x + 5, y - 3). What is the distance from A to A'?
1 answer:
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Answer:
58 at the point (9,8)
7 at the point (1, 1)
Step-by-step explanation:
The maximum points will be found in the vertices of the region.
Therefore the first step to solve the problem is to identify through the graph, the vertices of the figure.
The vertices found are:
(1, 10)
(1, 1)
(9, 5)
(9, 8)
We look for the values of x and y belonging to the region, which maximize the objective function . Therefore we look for the vertices with the values of x and y higher.
(1, 10), (9, 5), (9, 8)
Now we substitute these points in the objective function and select the one that produces the highest value for f (x, y)
The point that maximizes the function is:
with
Then the value that produces the minimum of f(x, y) is (1, 1)
Answer:
$280
Step-by-step explanation:
Please find attached the image of the tent
cost of the tent = cost per square inch x total surface area of a triangular prism
total surface area of a triangular prism = (perimeter x height) + 2(area of a triangle)
Area of a triangle = 1/2 x base x height = 1/2 x 40 x 50 = 1000in²
1000 x 2 = 2000
Perimeter = 50 + 50 + 50 = 150
150 x 80 = 12,000
total surface area = 12,000 + 2000 = 14,000
Total cost = 14,000 x 0.02 = $280
