Mikes house is in quadrant III [ 3 ]
There is no specification of the coordinates of his house.
Answer:
Step-by-step explanation:
The smaller rectangle has a perimeter of 200 meters. Let's say that the smaller rectangle has length 60 and width 40. This would give it a perimeter of 200, since 2*(60+40) = 200.
If these are the length and width of the smaller one, we can multiply each by 5/4 to get the length and width of the larger one.
length of larger rectangle = 60*5/4 = 75
width of larger rectangle = 40*5/4 = 50
These dimensions would give a perimeter of 250, since 2*(50 + 75) = 250.
It is worth noticing that 250 is equal to 200 * 5/4. In the future, you can simply multiply perimeter by the ratio instead of going through all these steps.
x² + 3x - 4
rewrite with two middle terms that add to give three but multiply to yield -4
x² + x - 4x - 4
by factorizing
x(x + 1) - 4(x + 1)
⇒ (x - 4) (x + 1) = x² + 3x - 4
70475.36 is the correct answer to your question