Using linear functions, it is found that the two planes will be at the same altitude in 7 minutes.
<h3>What is a linear function?
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A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For the first plane:
- Initial altitude of 1000 meters, hence .
- Ascending t a rate of 400 meters per minute, hence .
Hence, the equation is:
For the second plane:
- Initial altitude of 5900 meters, hence .
- Descending t a rate of 300 meters per minute, hence .
Hence, the equation is:
They will be at the same altitude at the value of x for which:
Hence:
The two planes will be at the same altitude in 7 minutes.
To learn more about linear functions, you can take a look at brainly.com/question/25823744
x + y = 16, and x - y = 12. Get x by itself. Subtract y from both sides in the 1st equation to get x = 16 - y. Add y to both sides in the 2nd equation to get x = 12 + y. Put the parts together. 16-y=12+y. Add y to both sides to get 16 = 12 + 2y. Subtract 12 to get 4 = 2y. Divide both sides by 2 to get y = 2. Replace it with the 1st equation to get X + 2 = 16. Subtract 2 from both sides to get X = 14.
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Answer:
Step-by-step explanation:
1 m is 100 cm, so the volume is ...
V = LWH
V = (100 cm)(50 cm)(4 cm) = 20,000 cm³ . . . volume
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The mass is ...
(20,000 cm³)(2.7 g/cm³) = 54,000 g = 54 kg
The mass of the block is 54 kg.
Perimeter=6+10+8+6+10+8=48 inches
area=48+36=84 inches squared
Is there more to the problem or is this all that was given?