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2 years ago

What is this expression in simplest form?

Mathematics

2 answers:

Usimov [2.4K]2 years ago

7 0

Answer:

Exact form : <u>10√11</u>

Step-by-step explanation:

nasty-shy [4]2 years ago

6 0

(√22)(5√2)

= √22 x 5√2

= 5√22x2

= 5√44

= 5√11 x 4

= 5 √11 x √4

= 5 √11 x 2

= 5 x 2 √11

= 10√11

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Two equations are given below: m + 4n = 8 m = n - 2 What is the Solution ?

Sophie [7]

M+4n=8
m=n-2
we see that m=n-2
so we can subsitute 'n-2' for m in the first equation
(n-2)+4n=8
n-2+4n=8
5n-2=8
add 2 to both sides
5n=10
divide by 5
n=2
subsitute
n=2
m=n-2
m=2-2
m=0

m=0
n=2

the answer is c. 0,2

7 0

2 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

Plz help me i need help before 1/28/22

garik1379 [7]

Answer:

3/4

Step-by-step explanation:

three-fourths also means 3 out of 4. This can be shown as a fraction as 3/4

5 0

2 years ago

Read 2 more answers

Bro why r people trying to online date on the app

frosja888 [35]

Answer:

wait really ? lol

Step-by-step explanation:

7 0

3 years ago

The length of a rectangle is 4 centimeters more than twice its width. If the perimeter of the rectangle is 86 centimeters , find

tensa zangetsu [6.8K]

P = perimeter = 2L + 2W = 86 cm. Also, L = W + 4. Subst. W + 4 for L,

P = 2(W + 4) + 2W = 86 cm. Then 2W + 8 + 2W = 86 cm, and 4W = 78 cm.

Finally solving for W, W = (78 cm)/4, or 19.5 cm.

If W = 19.5 cm, then L = W + 4 cm = 19.5 cm + 4 cm = 23.5 cm

The rectangle's dimensions are 19.5 cm by 23.5 cm.

6 0

2 years ago