meiyrarodriguez
04.12.2020 •
Mathematics
A fenced in rectangular region with the dimensions 4 yards by 8 yards is suddenly expanded by the same distance in each dimension the resulting region is now 60 square yards in size how much distance was added to each dimension
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Ответ:
The distance added to each dimension is 2 yards.
Step-by-step explanation:
The initial dimensions of the rectangular fence is 8 yards by 4 yards.
The initial area of the rectangular fence = area of a rectangle
area of a rectangle = length x width
So that,
The initial area of the fence = 8 x 4
= 32
The initial area of the fence is 32 square yards.
But, with the new dimensions, area = 60 square yards.
(4 + x) x (8 + x) = 60
(x + 14) = 0 or (x - 2) = 0
x = -14 or x =2
Thus, x = 2
The distance added to each dimension is 2 yards.
Ответ:
To find if a graph is a function you can use the vertical line test. The vertical line test is where you place a vertical (up and down) line on the graph. If this vertical line intersects the graph more then once it is NOT a function. It is a relation. Another way to see if it is NOT a function is seeing if there are coordinates where they have the same x-value but different y-values
Graph 1: You were correct. This is NOT a function because the vertical line would cross the graph two times
Graph 2: You were correct. This is NOT a function, because there are three points that have the x-value of -4 yet the have different y-values
Graph 3: This actually is a function! It passes the vertical line test. Although there are two points that have the y-value of -2, that's okay. There are no points with the same x-value
Graph 4: You are correct. This kind of graph is called a piecewise function. It does look like there are two points that have the same x-value, but since only one circle is colored in it means that only the colored in point is "valid."
Graph 5: You are correct. This IS a function. It passes the vertical line test.
Graph 6: This is NOT a function. If you put a vertical line through the circle you will hit it at the top and at the bottom
Hope this helped!
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