In a topographical map of a city, the vertices of the city limits are A(10,9),B(18,9),C(18,2),D(14,4.5),E (10,4.5). The coordinates are measured in miles. What is the area of the city?

  41 square miles

Step-by-step explanation:

There are several ways you can compute the area of this polygon. We have elected to divide it into a rectangle and a triangle.

The rectangle has dimensions 8 × 4.5, so area ...

  A = LW = 8 × 4.5 = 36 . . . . . square miles

The triangle has height 2.5 and base 4, so area ...

  A = (1/2)bh = (1/2)(4)(2.5) = 5 . . . . . square miles

Then the total area is the sum of these:

  36 + 5 = 41 . . . . . square miles

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )