Answer:
no its =
Step-by-step explanation:
A because it isn't a whole number or integer or irrational
Answer:
B
Step-by-step explanation:
Range of the graph is the ALLOWED y-values. The y-axis is number of gallons left in tank. So, <u><em>it cannot be NEGATIVE number of gallons, so 0 is the lower limit of the range.</em></u>
<u><em /></u>
As we can see from the axis of the graph, we see where the line cuts the y-axis, that is the upper limit of number of gallons he starts off with. The y-intercept (y-axis cutting point) is 12.
So we can say that the range is 0 ≤ y ≤ 12
Correct answer is B
Given:
The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).
To find:
The area of the rectangle.
Solution:
Distance formula:
![D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Using the distance formula, we get
![AB=\sqrt{(2-0)^2+(4-1)^2}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%282-0%29%5E2%2B%284-1%29%5E2%7D)
![AB=\sqrt{(2)^2+(3)^2}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%282%29%5E2%2B%283%29%5E2%7D)
![AB=\sqrt{4+9}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B4%2B9%7D)
![AB=\sqrt{13}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B13%7D)
Similarly,
![BC=\sqrt{(6-2)^2+(0-4)^2}](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B%286-2%29%5E2%2B%280-4%29%5E2%7D)
![BC=\sqrt{(4)^2+(-4)^2}](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B%284%29%5E2%2B%28-4%29%5E2%7D)
![BC=\sqrt{16+16}](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B16%2B16%7D)
![BC=\sqrt{32}](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B32%7D)
![BC=4\sqrt{2}](https://tex.z-dn.net/?f=BC%3D4%5Csqrt%7B2%7D)
Now, the length of the rectangle is
and the width of the rectangle is
. So, the area of the rectangle is:
![A=length \times width](https://tex.z-dn.net/?f=A%3Dlength%20%5Ctimes%20width)
![A=\sqrt{13}\times 4\sqrt{2}](https://tex.z-dn.net/?f=A%3D%5Csqrt%7B13%7D%5Ctimes%204%5Csqrt%7B2%7D)
![A=4\sqrt{26}](https://tex.z-dn.net/?f=A%3D4%5Csqrt%7B26%7D)
![A\approx 20](https://tex.z-dn.net/?f=A%5Capprox%2020)
Therefore, the area of the rectangle is 20 square units.