Answer:
The first thing you should do for this case is to draw the ordered pairs in the plane and join the points.
The area you are looking for is the area of a rectangle plus the area of a triangle.
Thus, the total area will be
At = (8) * (4.5) + (1/2) * (4) * (2.5) = 41
answer
the area of the city is 41 units^2
Step-by-step explanation:
41 square miles If you draw the outline of the city, you'll realize that if you draw a line from point B to point D, that you can subdivide the city into a triangle and a trapezoid. After performing the division, you can then calculate the area of both polygons and the add their areas together. So first, let's deal with the trapezoid ABDE. The area of a trapezoid is the average of the length of the parallel sides multiplied by the height. The parallel sides are AB and DE. So: ((18-10)+(14-10))*(9-4.5)/2 =(9 + 4)*(4.5)/2 = 12*4.5/2 = 27 Now for the area of triangle BCD. The area of a triangle is 0.5*b*h where b is the base and h the height. I'll use BC as the base and the distance from BC to D as the height. So: (9-2)*(18-14)/2 = 7*4/2 = 14 And now to add the areas. 27 + 14 = 41 So the area of the city is 41 square miles. Note: The subdivision used is not the only possible subdivision, just one of the easier ones. I could have divided the city area into 3 triangles ABE, BDE, and BCD and solved it that way instead. It was just a happy coincidence that AB and DE were parallel and as such I was able to use trapezoid ABDE instead of the two triangles ABE and BDE.
Answer: 
Step-by-step explanation:
Use the formula for calculate the distance between two points:
Calculate the distance AB. Substitute the coordinates into the formula. Then:
Calculate the distance A'B'. Substitute the coordinates into the formula. Then:
As you can see, the distance A'B' is the distance AB multiplied by 1/2. Therefore, this is the scale factor.
Answer: the answer is 1.2 greater
Step-by-step explanation:
Writing out 109 * .57 (57 percent) will give you 62.13
Sal: 25 +5x = 240
Divide 5 from both sides so it would be 5+ x=240/5
Subtract 5 from both sides x=48-5
X= 43
Elena: 15 + 5x=300
Divide 5 from both sides so it would be 3 +x=300/5
Subtract 15 from both sides x=60-3
X=57
So Sal jogged for 43 minutes. While Elena jogged for 57 minutes
