The answer would be
$1.30 x 9 = $11.70
$11.70 / 10 = $1.17
Answer: $1.71
Answer:
![a^2(ab^{3}-b^{2}-c^{2})](https://tex.z-dn.net/?f=a%5E2%28ab%5E%7B3%7D-b%5E%7B2%7D-c%5E%7B2%7D%29)
Step-by-step explanation:
Given
![a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}](https://tex.z-dn.net/?f=a%5E%7B3%7Db%5E%7B3%7D-a%5E%7B2%7Db%5E%7B2%7D-a%5E%7B2%7Dc%5E%7B2%7D)
Required
Factor
![a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}](https://tex.z-dn.net/?f=a%5E%7B3%7Db%5E%7B3%7D-a%5E%7B2%7Db%5E%7B2%7D-a%5E%7B2%7Dc%5E%7B2%7D)
Factor out ![a^2](https://tex.z-dn.net/?f=a%5E2)
![a^2(ab^{3}-b^{2}-c^{2})](https://tex.z-dn.net/?f=a%5E2%28ab%5E%7B3%7D-b%5E%7B2%7D-c%5E%7B2%7D%29)
<em>The expression cannot be further factored</em>
The lengths of two sides is not enough information to determine a unique triangle. There are an infinite number of possible correct answers. If 'x' is the length of the third side, then its length can be anything between 3 and 13.
Answer:
V = 8/125 cubic units
Step-by-step explanation:
This prism is actually a cube of side length 2/5.
The volume of a cube of side length s is V = s^3.
Here, the volume of the cube (rectangular prism) is V = (2/5)^3, or
V = 8/125 cubic units
So remember that the distance formula is
.
1.
![\sqrt{(4-4)^2+(-2-(-5))^2}\\ \sqrt{0^2+3^2}\\ \sqrt{0+9}\\ \sqrt{9}\\ 3](https://tex.z-dn.net/?f=%20%5Csqrt%7B%284-4%29%5E2%2B%28-2-%28-5%29%29%5E2%7D%5C%5C%20%5Csqrt%7B0%5E2%2B3%5E2%7D%5C%5C%20%5Csqrt%7B0%2B9%7D%5C%5C%20%5Csqrt%7B9%7D%5C%5C%203%20)
Distance between (4,-5) and (4,-2) is 3 units.
2.
![\sqrt{(1-(-1))^2+(1-4)^2}\\ \sqrt{2^2+(-3)^2}\\ \sqrt{4+9}\\ \sqrt{13}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%281-%28-1%29%29%5E2%2B%281-4%29%5E2%7D%5C%5C%20%5Csqrt%7B2%5E2%2B%28-3%29%5E2%7D%5C%5C%20%5Csqrt%7B4%2B9%7D%5C%5C%20%5Csqrt%7B13%7D%20)
Distance between (1,1) and (-1,4) is √13 (or 3.61 rounded to the hundreths) units.