Answer: Triangle A'B'C is an enlargement of triangle ABC
Step-by-step explanation: When figuring out whether a dilation of a triangle is an enlargement or reduction, you see if the scale factor is larger or smaller than 1. If the scale factor is less than 1, it's a reduction. If the scale factor is larger than 1, it's an enlargement. 4/3 > 1 so this means the triangle gets bigger and is an enlargement. This means triangle A'B'C is an enlargement of triangle ABC.
Answer:
the equation is wrong
Step-by-step explanation:
=> 74-25=59
since 74 - 25 equals to 59 in order to find the addition sentence that will check the subtraction problem is true and 59 and 3/5 or you can add add 59 and 25 to check if the problem was solved correctly
=> 59+25
add 59 to 25
=> 84
this means the question is wrong
Answer:
Option b (4,1)
Step-by-step explanation:
The region given by the system of inequalities is shown in the graph. We must look within this region for the point that minimizes the objective function 
The minimum points are found in the lower vertices of the region.
These vertices are found by equating the equations of the lines::
-------------------
---------------------
The lower vertices are:
(4, 1) (2, 4)
Now we substitute both points in the objective function to see which of them we get the lowest value of 
Then the value that minimizes f(x, y) is (4,1).
Option b
Answer:
375000 ft^2
Step-by-step explanation:
From the statement that we have that it would be 1 time the length and 2 times the width because one side is not necessary and also we must take into account that it would be divided by 3 equal enclosures therefore we will use 1000 feet (3000/3) so Therefore, the perimeter would be equal to:
1000 = l + 2 * w
we solve for w:
l = 1000 - 2 * w
Also the area is equal to:
A = w * l
replacing:
A = w * (1000 - 2 * w)
A = 1000 * w - 2 * w ^ 2
We derive:
A '= 1000 - 4 * w
Let's equal 0:
1000 - 4 * w = 0
w = 1000/4
w = 250
replacing and we calculate l:
l = 1000 - 2 * 250
l = 500
A = 250 * 500
A = 15,000 ft ^ 2
Which means that for each subdivision the maximum area would be 125000 square feet and the total would be:
125000 * 3 = 375000 ft ^ 2
12/6=2
40/5=8
20/5=4
24/6=4
15/5=3
24/6=4
