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dusya [7]
3 years ago
7

If log x+y/5 = 1/2(log x + log y) the find the value of x/y + y/x ?​

Mathematics
1 answer:
V125BC [204]3 years ago
4 0

Given that

log (x+y)/5 =( 1/2) {log x+logy}

We know that

log a+ log b = log ab

⇛log (x+y)/5 =( 1/2) log(xy)

We know that log a^m = m log a

⇛log (x+y)/5 = log (xy)^1/2

⇛log (x+y)/5 = log√(xy)

⇛(x+y)/5 = √(xy)

On squaring both sides then

⇛{ (x+y)/5}^2 = {√(xy)}^2

⇛(x+y)^2/5^2 = xy

⇛(x^2+y^2+2xy)/25 = xy

⇛x^2+y^2+2xy = 25xy

⇛x^2+y^2 = 25xy-2xy

⇛x^2+y^2 = 23xy

⇛( x^2+y^2)/xy = 23

⇛(x^2/xy) +(y^2/xy) = 23

⇛{(x×x)/xy} +{(y×y)/xy} = 23

⇛(x/y)+(y/x) = 23

Therefore, (x/y)+(y/x) = 23

Hence, the value of (x/y)+(y/x) is 23.

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4 years ago
Min Jee wants to build a small patio using either brick or paver stones.
Anvisha [2.4K]
Brick = 3.5 in by 7.5 in and costs $0.59
Paver = 8.4 in by 8.4 in and costs $1.88

The small patio's area = 3430 square inches
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The Area of 1 Paver = 70.56 square inches

The # of Bricks to complete the Patio will be:

Patio's Area / the Area of 1 Brick = # of Bricks to complete the patio
3430 square inches / 26.25 square inches = 130.67 = 131

Then, multiply the # of Bricks to complete the patio by the amount that 1 brick costs:

131 * $0.59 = $77.29

It will take $77.29 to complete the Patio with bricks. 

The # of Pavers to complete the Patio:

Patio's Area / the Area of 1 Paver =  # of Pavers to complete the Patio
3430 square inches / 70.56 square inches = 48.6 = 49

Then, multiply the # of Pavers to complete the patio by the amount that 1 Paver costs:

49 * $1.88 = $92.12

Cost of Bricks to complete Patio = $77.29
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To conclude, Bricks would cost less by $14.83.

5 0
3 years ago
What is 12 divided by 6/7
Naddik [55]
What is the easiest way to divide whole numbers to fractions?
Just follow these two easy steps:
1. Multiply the whole number  to the denominator of the fraction. In other words, the bottom number of the fraction will be multiplied to the whole number, like this:

12 ÷ 6/7 = n
 <u>   6    </u>
7 x 12
You will have 6/ 84.
2. Simplify.
6  = 1, 2, 3, 6
84= 1, 2, 3, 4, 6, 7, 12, 14, 21, 42, 84

the GCF is 6.  divide both numbers by 6, so the answer will be 1/14.

You can also get the reciprocal and proceed to multiplication , like this: (12/1 is the fractional form or the whole number 12.)
 1/12 x 6/7=n
that makes 6/84 or 1/14.
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zalisa [80]

Answer:

C = 0.65x + 145

Step-by-step explanation:

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4 0
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Answer:

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Step-by-step explanation:

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