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3 years ago

What is x? where would i find it?는 무엇이고 내가 그것을 어떻게 찾을까?

Mathematics

1 answer:

kvv77 [185]3 years ago

5 0

If you are implying that the triangles are similar, then the short and long legs are in proportion:

$3\div 2 = x\div 8$

Solving for x, you have

$x = \dfrac{8\cdot 3}{2} = 12$

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Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

5x-2y=11 and 3x+4y=4<br>Find the value of x and y in equation.

nadya68 [22]

5x-3y=11---(1)
3x+4y=4---(2)

(1)×3 and (2)×5

15x-9y=33-(3)
15x+20y=20-(4)

Subtract both

$\\ \sf\longmapsto -29y=13$

$\\ \sf\longmapsto y=\dfrac{-13}{29}$

Put in eq(1)

$\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11$

$\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}$

$\\ \sf\longmapsto x=\dfrac{278}{145}$

7 0

2 years ago

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It takes 5.5 hours to travel 330 miles from City A to city B what is the unit rate?

bearhunter [10]

330 miles / 5.5 hours

= 54.54 miles/hour.
Glad I could help!

7 0

3 years ago

Give a real life example of two variables that very directly

Snowcat [4.5K]

Answer:

the amount of products a company sells directly affects the amount of money it has

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3 years ago

Alison has three dogs but only two dog biscuits how can she divide them so that each dog get the same amount?

Lera25 [3.4K]

Each dog can get 2/3 of a dog biscuit.

7 0

3 years ago

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What is x? where would i find it?는 무엇이고 내가 그것을 어떻게 찾을까?​

What is x? where would i find it?는 무엇이고 내가 그것을 어떻게 찾을까?