A contractor is calculating the interior perimeter of square windows on a building site. Each window will be framed with 2 inche

s of wood within a concrete frame. The length or width of each window can be shown by the expression x − 2. The contractor writes this expression to find the interior perimeter of a window: (x − 2) + (x − 2) + (x − 2) + (x − 2). What equivalent expression can you use to find the same measurement?

Mathematics

1 answer:

USPshnik [31]3 years ago

4 0

$(x - 2) + (x - 2) + (x - 2) + (x - 2)=\\4(x-2)\: \: or \: \: 2(x-2)+2(x-2)$

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Students are designing a new town as part of a social studies project on urban planning. ey want to place the town’s high school

-Dominant- [34]

Answer:

c, d. see attached

e. about 2.96 miles; about $1.63 million

Step-by-step explanation:

e. The x-coordinates of points A and B are 1/3 and 2/3 of the x-coordinate of "Downtown", respectively. The y-coordinates of A and B are 2/3 and 1/3 of the y-coordinate of "Town pool", respectively. Then the distances from A and B to the Mall can be found using the Pythagorean theorem:

A to Mall = √(4² +(10/3)²) = √(244/9) ≈ 5.20683 . . . miles

B to Mall = √(8² +(5/3)²) = √(601/9) ≈ 8.17177 . . . miles

The difference in distance is ...

(BM -AM) = 8.17177 -5.20683 = 2.96493 . . . miles

The mall is about 2.96 miles farther from point B than from point A.

The additional cost is the difference in miles multiplied by the cost per mile:

(2.96 mi)($0.550 M/mi) = $1.63 M

The additional cost of the longer road is about $1.63 million.