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photoshop1234 [79]
3 years ago
9

Perpendicular lines intersect to form right angles. always sometimes never

Mathematics
2 answers:
Ymorist [56]3 years ago
6 0
Always- their slopes are always opposite reciprocals of each other
Alenkinab [10]3 years ago
5 0

Answer:always becouse we are talking about this in school and im ahead

  • Step-by-step explanation:

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Please help me with the below question.
VMariaS [17]

By letting

y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}

we get derivatives

y' = \displaystyle \sum_{n=0}^\infty (n+r) c_n x^{n+r-1}

y'' = \displaystyle \sum_{n=0}^\infty (n+r) (n+r-1) c_n x^{n+r-2}

a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0

Examine the lowest degree term \left(x^{r-1}\right), which gives rise to the indicial equation,

5r (r - 1) + r = 0 \implies 5r^2 - 4r = r (5r - 4) = 0

with roots at r = 0 and r = 4/5.

b) The recurrence for the coefficients c_k is

(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}

so that with r = 4/5, the coefficients are governed by

c_{k+1} = -\dfrac{c_k}{5k+5} \implies \boxed{g(k) = -\dfrac1{5k+5}}

c) Starting with c_0=1, we find

c_1 = -\dfrac{c_0}5 = -\dfrac15

c_2 = -\dfrac{c_1}{10} = \dfrac1{50}

so that the first three terms of the solution are

\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}

4 0
2 years ago
Simplify the expression. Write the answer using scientific notation.
erik [133]
The answer is 5.88 x 10^22 because when you move your decimal point (which should be placed in between 5 and 8) to the right it turns 58800000000000 into 5.88. Then you count the numbers after the decimal which gives you 12.
( I’m pretty sure I made no sense, but hopefully it helped !! )
6 0
3 years ago
Need help please! What are the measurements of angles 1 & 2
kipiarov [429]
1 42.5* and 3 95*, the sum of all the angles =360*, so Angle J = L and M=K, Angle 1 =M/2
7 0
2 years ago
In a relay race, Nancy ran her part in 15.25 seconds, John ran his part in 13.8 seconds, Sylas ran his part in 16.4 seconds. Wha
sp2606 [1]

Answer:

45.45

Step-by-step explanation:

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3 years ago
An algebraic expression ,using d as the variable four times a number
larisa [96]

Answer:

4d

Step-by-step explanation:

7 0
3 years ago
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