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romanna [79]
3 years ago
5

If Angle L=105 degrees, What is the measurement of angle N???

Mathematics
2 answers:
GalinKa [24]3 years ago
8 0
Angle N is also 105 degrees, they are alternate exterior angles so they are congruent
lesantik [10]3 years ago
6 0

If Angle L=105 degrees, What is the measurement of angle N?

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The 4th term of an arithmetic sequence is 24 and the 12th term is 56, what is the first term?​
spin [16.1K]
First term = 12
Solution:
A4 = 24
A12 = 56
An = A1 + (n-1)d; this defines the formula of an arithmetic series
A4 = 24 = A1 + (4-1)d
A4 = 24 = A1 + 3d
A12 = 56 = A1 + (12-1)d
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Subtract A4 from A12 to get d (distance)
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32 = 8d
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4 0
2 years ago
Read 2 more answers
Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f.
Alex17521 [72]

The function that is a  tangent to the graph of f is f(x) = (5/4)x^4+60

<h3>What is the concept of integral?</h3>

The definite integral can be interpreted as the resulting area of a region. In addition, it is a value in its result, that is, it does not depend on the variable x, which can be exchanged for any other variable without changing the value of the integral.

Knowing that :

  • 40x + y = 0 is tangent of f(x)
  • slope of the line = -40

therefore, f'(x)|x=a = -40, so only look for a we have:

5a^3 = -40\\a^3 = -8\\a = -2

if, x = -2, then y = 80 (since, 40x + y = 0), therefore, f(x) passes through (-2,80), so in the equation:

f'(x) = 5x^3\\f(x) = (5/4)x^4 + c\\80 = (5/4)(-2)^4 + c\\c = 60

Therefore,

f(x) = (5/4)x^4+60

See more about tangent at brainly.com/question/401236

#SPJ1

4 0
2 years ago
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