Answer:
x = a/2 - b/2
y = a/2 + b/2
Step-by-step explanation:
x + y = a
x + b = y
x - y = -b
x + y = a
x - y = -b
________--
2y = a + b
y = a/2 + b/2
x + y = a
x - y = -b
________+
2x = a - b
x = a/2 - b/2
Answer:
The equation for relationship between the thickness and the number of weeks is f(x)=3.8 -0.2*x
Step-by-step explanation:
Ice thickness decreases at a rate of 0.2 meters per week. This can then be represented by the expression
f(x) = k - 0.2*x
where k is the thickness of the ice before the melting starts and x is the number of weeks.
After 7 weeks, the ice is only 2.4 meters thick. This means that x has a value of 7, while f (7) = 2.4. Replacing in the previous expression:
2.4=k -0.2*7
and solving you get:
2.4=k- 1.4
2.4 + 1.4= k
3.8= k
Then, <u><em>the equation for relationship between the thickness and the number of weeks is f(x)=3.8 -0.2*x</em></u>
An equivalent ratio of 24:9 is 48:18
Answer:
(9, 13, 22)
Step-by-step explanation:
We can use the triangle inequality theorem to help us solve this problem. We know that the two shortest sides of a traingle added up (their sum) needs to always be greater than the longest side of the triangle. Taking that information, we can figure out that 9+13=22. 22=22, not 22>22. This means that is the right answer, hopefully that helps!
Answer:
See explanation.
Step-by-step explanation:
1. 5 * 6 * 9 = 270 ![cm^3](https://tex.z-dn.net/?f=cm%5E3)
2. 10 * 4 * 5 = 200 ![cm^{3}](https://tex.z-dn.net/?f=cm%5E%7B3%7D)
3. 5 * 4 * 5 = 100 ![cm^3](https://tex.z-dn.net/?f=cm%5E3)
4. 7 * 4 * 6 = 168 ![cm^3](https://tex.z-dn.net/?f=cm%5E3)
5. 7 * 4 * 6 = 168 ![cm^3](https://tex.z-dn.net/?f=cm%5E3)
6. 10 * 4 * 3 = 120 ![cm^3](https://tex.z-dn.net/?f=cm%5E3)
7. 4 * 4 * 7 = 112 ![cm^3](https://tex.z-dn.net/?f=cm%5E3)
8. 6 * 6 * 6 = 216 ![cm^3](https://tex.z-dn.net/?f=cm%5E3)
9. 6 * 6 * 6 = 216 ![cm^3](https://tex.z-dn.net/?f=cm%5E3)
hope this helps.