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Dmitriy789 [7]
3 years ago
11

Solve the proportion​

Mathematics
1 answer:
ad-work [718]3 years ago
4 0
Answer :
D) x =18/5


Solution :

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Hi. Please I need help with these questions.
VashaNatasha [74]

9514 1404 393

Answer:

  21x² +20x +100 = 0

Step-by-step explanation:

We know the sum of the roots of x² +bx +c = 0 is -b, and their product is c. If the roots are α and β, then ...

  • α+β = -b
  • αβ = c

The sum of the roots of the new equation will be ...

  -b' = (α+1/β)+(β+1/α) = (α+β) +(1/α +1/β) = (α+β)(1 +1/(αβ))

The product of the roots of the new equation will be ...

  c' = (α+1/β)(β+1/α) = αβ +2 +1/(αβ)

Using the above relations for (α+β) and αβ, we find that ...

  -b' = (-b)(1 +1/c)

  c' = c + 2 + 1/c

For the given equation, our definition of b and c is ...

  b = 2/3

  c = 7/3

so the new equation has values ...

  b' = (2/3)(1 + 1/(7/3) = (2/3)(10/7) = 20/21

  c' = 7/3 + 2 + 1/(7/3) = 13/3 + 3/7 = 100/21

So, the equation with the roots of interest is ...

  x² +20/21x +100/21 = 0

Multiplying by 21 gives ...

  21x² +20x +100 = 0

4 0
3 years ago
Each statement describes a transformation of the graph of .
Nostrana [21]

Answer:

it's C: It is the graph of y = log2x translated 9 units down and 3 units to the left.

8 0
3 years ago
3 1/2 divided by 3/4
Arisa [49]
4.666. Good luck!!!!!
6 0
3 years ago
Read 2 more answers
Lily took 57 seconds to walk from classroom to library.If the distance between the classroom and library was 38m, at what averag
borishaifa [10]
It would be 127 min because you have to multiply and u get your answer simple
8 0
3 years ago
Read 2 more answers
Kinda spamming but I need a good grade and my brains not gonna pull through
Evgen [1.6K]

Answer:

d

Step-by-step explanation:

add all the angles you know to get 480

the number of angles - 2 x 180 to get 720

720-480=240

divide 240 by 3 to get x

4 0
3 years ago
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