1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sasho [114]
3 years ago
14

The value of y varies inversely as the square of x, and y=4, when x=3.

Mathematics
1 answer:
Andrei [34K]3 years ago
3 0

The value of x when y = 9 is x = 2 or x = -2

<em><u>Solution:</u></em>

Given that value of y varies inversely as the square of x, and y=4, when x=3.

Therefore the initial statement is:

y \propto \frac{1}{x^{2}}

To convert to an equation, multiply by k, the constant  of variation

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

y = \frac{k}{x^2}  --- eqn 1

Given that,

y = 4 when x = 3

Now find value of k

4 = \frac{k}{3^2}\\\\4 \times 9 = k\\\\k = 36

<em><u>Find the value of x when y = 9</u></em>

x = ?

y = 9

From eqn 1,

9 = \frac{k}{x^2}\\\\9 = \frac{36}{x^2}\\\\x^2 = 4\\\\x = \pm 2

Thus value of x is found

You might be interested in
Ten million more than 280,509,031
Maru [420]
That means you are multipliying 10,000,000 by 280,509,031...
7 0
3 years ago
Read 2 more answers
Find the missing coefficient.
lawyer [7]
<span>(2d - 5)(2d - 4) = 4d^2 - 2d x 4 - 5 x 2d + 20 = 4d^2 - 18d + 20

Answer is B
Hope it helps! </span>
3 0
3 years ago
Read 2 more answers
Can someone plz help me with this one problem plz!!!
Archy [21]
It’s doesn’t satisfy the equation
6 0
2 years ago
Read 2 more answers
Complete the pairs of corresponding parts if AABD = AEFC.<br> B
Anuta_ua [19.1K]

Answer:

see explanation

Step-by-step explanation:

since the triangles are congruent, then corresponding angles are congruent.

∠ B = ∠ F

∠ FCE ≅ ∠ BDA

∠ EFC ≅ ∠ ABD

∠ FEC ≅ ∠ BAD

note that the order of letters in Δ ABD follows the same order as those in Δ BDA

5 0
1 year ago
Express the following as a ratio in its simplest from
Eva8 [605]

9:16 -> 3:8

How?

Divide each side by 2 (the GCF).

10:12 -> 5:6

How?

Divide each side by 2 (the GCF).

20:16 -> 5:4

How?

Divide each side by 4 (the GCF).

24:36 -> 2:3

How?

Divide each side by 12 (the GCF).

4 0
2 years ago
Read 2 more answers
Other questions:
  • Which property says that (-4/7× -5/3)(1/2) = -(-5/3 ×1/2 )
    6·2 answers
  • What mixed number is equivalent to 16/3
    7·2 answers
  • Determine if the numbers are divisible by 2 3 5 10
    9·1 answer
  • Is (-4x+9) squared a perfect square
    6·1 answer
  • A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a centimeter. the lead=11.35g/cm³
    6·1 answer
  • Identify the place value of digit 9 in each given number.
    15·1 answer
  • Please help this might be easy for some people but I’m just not smart
    11·1 answer
  • Victoria says that -3 &lt; -20 because 3 is smaller than 20. Maris says that -3 &gt; -20 because 3 degrees below 3 is warmer tha
    6·1 answer
  • If you invest $1,200 into an account with an interest rate of 8%, compounded monthly, about how long would it take for the accou
    14·1 answer
  • 2px3qx5r someone answer please
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!