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timurjin [86]
3 years ago
6

Find the differential equation of the family of tangent lines to the parabola y^2 = 2x

Mathematics
1 answer:
dusya [7]3 years ago
5 0
\bf 
y^2=2x\implies y=\sqrt{2x}\implies y=x^{\frac{1}{2}}
\\ \quad \\
\cfrac{dy}{dx}=\boxed{?}
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An airplane flies from City 1 at (0, 0) to City 2 at (33, 56) and then to City 3 at (23, 32). What is the total number of miles
uranmaximum [27]

Answer:

The airplane flies 95 miles.

Step-by-step explanation:

  1. First we need to find the distance for the first segment using the formula for distance D=\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}. Let's say (x_{1},y_{1}) is (0, 0) and (x_{2},y_{2}) is (33, 56). This gets us that the length of this segment is 65 miles.
  2. Next, we need to find the distance for the second segment. Using the same formula for distance  D=\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}, we can say (x_{1},y_{1}) is now (33, 56) and (x_{2},y_{2}) is now (23, 32). This gets us that the length of this segment is 26 miles.
  3. To get the total distance traveled, add the length of these two segments together (65 miles + 26 miles) to get 91 total miles traveled.
7 0
2 years ago
Read 2 more answers
47 was divided by the power of ten to get 0.047 what power of ten was divided
Dmitrij [34]

Answer:

1,000

Step-by-step explanation:

47 to 0.047 moves 3 places

47, 4.7, 0.47, 0.047

this means that the power of then used should have 3 0's

making the power of ten 1,000

3 0
3 years ago
Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to
Aloiza [94]

Answer:

Step-by-step explanation:

band alone 11 

choir alone 17 

band and choir alone 4 

band and math alone 7 

math and choir alone 6 

band choir and math 3 

math alone 9 from 11+4+10+6+17 + M = 57 

so 

2 classes = 4+7+6 = 17

17 students take exactly two classes with Mr. Green

5 0
4 years ago
These types of building blocks are an energy source.
pychu [463]
The answer is A. Fats 

7 0
3 years ago
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I need help asap , im doing this thing and I cant do it im confused
aksik [14]

Answer:

they will be the same at 11 months

Step-by-step explanation:

the equations for this are

y = 40+55x

and

y = 165+30x

where x is the number of months

if you plug this into your graphic calc you see they are equal at 11 therefore, 11 months

6 0
3 years ago
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