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CaHeK987 [17]
2 years ago
5

The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?​

Mathematics
1 answer:
Blababa [14]2 years ago
8 0

Answer:

The constant of proportionality is k=1/4

Step-by-step explanation:

For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.

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Does there exist a pair of consecutive even integers whose reciprocals sum to 3/4? Explain how you know.
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Answer:

2, 4

Step-by-step explanation:

Let there are two unknown consecutive pairs of even integers 2n and 2n+2.

If the sum of the reciprocals of those two integers  is 3/4, then we can write,

1/2n +1/(2n+2) =3/4 ...... (1)

Solving this above equation we can check whether the integers exist or not.

Now, from equation (1) we get,

1/n +1/(n+1) =3/2

⇒2(2n+1)=3n(n+1)

⇒4n +2 =3n²+3n

⇒3n²-n-2 =0

⇒ (n-1)(3n+2) =0

⇒ (n-1) =0 {Since if (3n+2) =0 then, n will be a negative fraction, which is not possible}

⇒ n=1

∴ 2n =2 and 2n+2 =4

Hence, the two integers are 2, 4. (Answer)

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4 years ago
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It's really hard for me to understand what they are asking.​
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Answer:

B is the correct answer

Step-by-step explanation:

Angles 1, 2, and 3 added together should make 180 degrees.

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