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3 years ago

Can somebody please answer this

Mathematics

1 answer:

Ray Of Light [21]3 years ago

8 0

It would be c that is the answer

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Write an equation parallel to x - 2y = 4 that passes through the point (-8, 2).

castortr0y [4]

Answer:

y=1/2x+6

Step-by-step explanation:

Change to slope intercept form: y=1/2x-2

Take out the b term

Plug in point (-8, 2)

Get b as 6

Plug in b

Get y=1/2x+6

7 0

3 years ago

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

A river flows due south at 4 mi/h. A swimmer attempting to cross the river heads due east swimming at 2 mi/h relative to the wat

Inessa05 [86]

Answer:

$\overrightarrow{V_{S,G}}=2\widehat{i}-4\widehat{j} mi/h$

Step-by-step explanation:

velocity of river with respect to ground = 4 mi/h south

$\overrightarrow{V_{R,G}}=4(\widehat{-j})$

Velocity of swimmer with respect to river = 2 mi/h east

$\overrightarrow{V_{S,R}}=2(\widehat{i})$

According to the formula of relative velocity

$\overrightarrow{V_{S,R}}=\overrightarrow{V_{S,G}}-\overrightarrow{V_{R,G}}$

$2\widehat{i}=\overrightarrow{V_{S,G}}+4\widehat{j}$

Where, V(S,G) be the velocity of swimmer with respect to ground, it is true velocity of swimmer.

$\overrightarrow{V_{S,G}}=2\widehat{i}-4\widehat{j} mi/h$

5 0

3 years ago

A farmer will build a rectangular pen for his sheep. a wall will form one side of the pen. the farmer has 28 m of fencing to for

Pavlova-9 [17]

I took the quiz and this what the answer, I hope this help future people that had the same question.

3 0

3 years ago

Math<br> math<br> math<br> math<br> math

ki77a [65]

Answer:

Step-by-step explanation:

Add 7 and 3 which is 10

3^10 is 59049 which is the same as 3^7*3*3

7 0

2 years ago

Read 2 more answers