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3 years ago

Find the value of x and y

Mathematics

1 answer:

sineoko [7]3 years ago

5 0

Step-by-step explanation:

5x-17 and 3x-11 are supplementary angles

They add up to 180 degrees

5x-17 + 3x - 11 = 180

8x - 28 = 180

8x= 208

x= 26

3x-11, 90, and 2y + 5 added together equal 180

3x-11 + 90 + 2y + 5 = 180

3(26) - 11 + 2y + 5 = 90

78 - 6 + 2y = 90

72 + 2y = 90

2y = 18

y = 9

I hope this helps!!!

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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

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

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2 years ago

The opening balance of the May billing cycle for Marco's credit card was $3659. If he makes a new purchase of $100 on the 20th o

Sonbull [250]

it is actually $3,694.48

7 0

3 years ago

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Three people invest in a treasure dive, each investing the amount listed below. The dive results in 40 gold coins. Apportion tho

garri49 [273]

Answer:

Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.

Step-by-step explanation:

We know that the dive results in 40 gold coins.

We know that:

Alice: $7,600 Ben: $5,900 Carlos: $1,400.

So they have $ 14900 in total.

Now we will divide that money by 40.

$x=\frac{14900}{40}\\\\x=372.5$

So 1 gold coin costs $ 372.5. Now we will calculate how much they can get for the money they have.

$A=\frac{7600}{372.5}=20.4\\\\B=\frac{5900}{372.5}=15.8\\\\C=\frac{1400}{372.5}=3.75\\$

We conclude that:

Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.

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3 years ago

If the height is 12 inches and the diameter is 16 inches, what is the volume?

tigry1 [53]

Answer:

V = πr²h

V = π(8)^2×12 r = ½diameter= 16/2=8

V = 64π×12

V= 64 × 3.14 ×12

V = 2,411.52 cubic inches.

Hope it helps!

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2 years ago

Solve 5w + 3 = 3w + 10

OverLord2011 [107]

X=7/12
Alright so let's solve this! :)
••• Subtract 3w from both sides.
5w+3−3w=3w+10−3w2w+3=10
••• Subtract 3 from both sides.
2w+3−3=10−32w=7
••• Divide both sides by 2.
2w/2=7/2
=7/2
and then 7/2=3.5

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3 years ago

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