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2 years ago

Solve using elimination. Write your answer as an ordered pair (x,y).

Mathematics

2 answers:

stiv31 [10]2 years ago

6 0

Answer:

(S,H) (R,E) K

Step-by-step explanation:

mars1129 [50]2 years ago

5 0

Answer:

x=-7,y=2

Step-by-step explanation:

3x - 4y = - 29

and 6x + 5y = - 32

3x - 4y = - 29 (1)

6x + 5y = -32 (2)

equation (1) x 2

6x-8y = -58

equation (2) × 1

6x + 5y = - 32

Substracting → - 13y = -26

13y = 26.

26/ 13 ⇒ y =

⇒ yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy = 2

Putting y = 2 in equation (1), we have

3x - 4(2) = - 20

→ 3x = -29 +8

→3x = -21

→ X = -7

x = - 7

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What in 40 023 032 in word form??

krok68 [10]

Forty million, twenty-three thousand and thirty-two

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3 years ago

Use De Moivre's theorem to write the complex number in trigonometric form: (cos(3pi/5) + i sin (3pi/5))^3

docker41 [41]

By De Moivre's theorem,

$\left(\cos\dfrac{3\pi}5+i\sin\dfrac{3\pi}5\right)^3=\boxed{\cos\dfrac{9\pi}5+i\sin\dfrac{9\pi}5}$

We can stop here ...

# # #

... but we can also express these trig ratios in terms of square roots. Let $x=\dfrac\pi5$ and let $c=\cos x$ . Then recall that

$\cos5x=c^5-10c^3\sin^2x+5c\sin^4x$

$\cos5x=c^5-10c^3(1-c^2)+5c(1-2c^2+c^4)$

$\cos5x=16c^5-20c^3+5c$

On the left, $5x=\pi$ so that

$16c^5-20c^3+5c+1=(c+1)(4c^2-2c-1)^2=0$

Since $c=\cos\dfrac\pi5\neq1$ , we're left with

$4c^2-2c-1=0\implies c=\dfrac{1+\sqrt5}4$

because we know to expect $\cos x>0$ . Then from the Pythagorean identity, and knowing to expect $\sin x>0$ , we get

$\sin x=\sqrt{1-c^2}=\sqrt{\dfrac58-\dfrac{\sqrt5}8}$

Both $\cos$ and $\sin$ are $2\pi$ -periodic, so that

$\cos\dfrac{9\pi}5=\cos\left(\dfrac{9\pi}5-2\pi\right)=\cos\left(-\dfrac\pi5\right)=\cos\dfrac\pi5$

and

$\sin\dfrac{9\pi}5=\sin\left(-\dfrac\pi5\right)=-\sin\dfrac\pi5$

so that the answer we left in trigonometric form above is equal to

$\cos\dfrac\pi5-i\sin\dfrac\pi5=\boxed{\dfrac{1+\sqrt5}4+i\sqrt{\dfrac58+\dfrac{\sqrt5}8}}$

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3 years ago

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SSSSS [86.1K]

Answer:

x=vel of d

y=vel oh h

t1=time taken by d

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we have 4t1=5t2..............(1)

also

3xt1=4yt2....................(2)

comparing 1 and 2

x/y=16/15

Step-by-step explanation:

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4 years ago

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ella [17]

Answer:

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Step-by-step explanation:

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Andrews [41]

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3 years ago

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