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Anvisha [2.4K]
2 years ago
7

It is given that y is inversely proportional to the square of x and that y=48 when x=

B1%7D%7B2%7D" id="TexFormula1" title="\frac{1}{2}" alt="\frac{1}{2}" align="absmiddle" class="latex-formula">.
Find;
(a), the formula for y in terms of x,
(b), the values of x when y=3.
Mathematics
1 answer:
Anna [14]2 years ago
5 0

Answer:

a. y = 12\times \frac{1}{x^2} \\b. x = 2 , when \ y =3

Step-by-step explanation:

y \ is\ inversely  \ proportional \  to \  square \  of \  x \ means , y \  \alpha \ \frac{1}{x^2}

Therefore, y = k \times \frac{1}{x^2}

Given y = 48, x = 1/2. We will find k.

                 y = k \times \frac{1}{x^2}\\\\48 = k \times \frac{1}{\frac{1}{4}}}\\\\k = 48 \times \frac{1}{4} =12

Find x.

y = k \times \frac{1}{x^2} \\\\3 = 12 \times \frac{1}{x^2}\\\\\frac{3}{12} =  \frac{1}{x^2}\\\\x^2 = \frac{12}{3}\\\\x^2 = 4 \\\\x = 2

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prisoha [69]

Answer:

B

Step-by-step explanation:

lets start off by looking at point A (1,1)

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3 years ago
A computer code is based on the prime facttorization of 160. find the prime factorization of 160
igor_vitrenko [27]
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3 0
3 years ago
How do you calculate the balance in an account, with interest?
pentagon [3]

Answer:

Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...

Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.

Step-by-step explanation:

The ending balance, or future value, of an account with simple interest can be calculated using the following formula: Using the prior example of a $1000 account with a 10% rate, after 3 years the balance would be $1300. This can be determined by multiplying the $1000 original balance times [1+(10%)(3)], or times 1.30.

5 0
2 years ago
If mJI = (3x+2)°, mHLK = (15x-36)°, and m∠HML = (8x-1)°, find mHLK
Gala2k [10]

Answer:

The value of mHLK will be "(204)°".

Step-by-step explanation:

The given values are:

mJI = (3x+2)°

mHLK = (15x-36)°

and,

m∠HML = (8x-1)°

then,

mHLK = ?

Now,

By using chord-chord formula of angle, we get

mHMK=\frac{1}{2}(mJL+mHLK)

On putting the values in the above formula, we get

⇒  (8x-1)=\frac{1}{2}(15x-36+3x+2)

On applying cross-multiplication, we get

⇒  2(8x-1)=18x-34

⇒  16x-2=18x-34

On subtracting "18x" from both sides, we get

⇒  16x-2-18x=18x-34-18x

⇒  -2x-2=-34

On adding "2" both sides, we get

⇒  -2x=-34+2

⇒  -2x=-32

⇒  x=\frac{32}{2}

⇒  x=16

On putting the value of "x" in mHLK = (15x-36)°, we get

⇒ (15x-36)° = (15×16-36)°

⇒                = (240-36)°

⇒                = (204)°

So that mHLK = (204)°

4 0
3 years ago
Beckett purchase the diamond ring in 2012 for $12,000 if the value of the rain increases by 32% each year what will the ring be
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Answer:

$119520

Step-by-step explanation:

Given: Purchase price of Diamond ring= $12000

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First finding number of year between 2012 and 2040, to know the time period of value appreciation.

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Now, finding the value of diamond ring increased after 28 years.

Value of ring increased after 28 years= \frac{12000\times 32\times 28}{100}

∴ Increased value of diamond ring after 28 years= $107520

Next, Value of diamond ring after 28 years= 12000+107520= \$ 119520

Hence, value of diamond ring in 2040 is $119520

5 0
3 years ago
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