This would be the cube root of 27/512
= 3/8 feet
Y = 1/4x....slope here is 1/4. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, " flip " the number and change the sign. So the negative reciprocal for our perpendicular line is -4.
y = mx + b
slope(m) = -4
(2,-5)...x = 2 and y = -5
now we sub and find b, the y int
-5 = -4(2) + b
-5 = -8 + b
-5 + 8 = b
3 = b
so ur perpendicular equation is : y = -4x + 3
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?
</h3>
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
Answer:
x^2+x+1
Step-by-step explanation:
(3x^2+4x−1)+(−2x^2−3x+2)
Combine like terms
3x^2-2x^2+4x-3x-1+2
x^2+x+1