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>
9514 1404 393
Answer:
10
Step-by-step explanation:
The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((7 -1)^2 +(12 -4)^2) = √(6^2 +8^2) = √(36 +64) = √100
d = 10
The distance between P and Q is 10.
_____
<em>Additional comment</em>
You may recognize the run : rise ratio of 6 : 8 = 3 : 4. This suggests a 3-4-5 right triangle with a scale factor of 2. If you're familiar with that Pythagorean triple, you can write down the answer as soon as you see the rise and run numbers.
The length would be 256, since you multiply the values of a & b