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umka21 [38]
4 years ago
5

Make x the subject of the formula

Mathematics
1 answer:
kupik [55]4 years ago
8 0

Answer:

\boxed{x  =  \frac{p + q {r}^{2} }{a - b {r}^{2} } }

Step-by-step explanation:

Solve  \: for  \: x: \\  =  > r =  \sqrt{ \frac{ax - p}{q + bx} }  \\  \\ r =  \sqrt{ \frac{ax - p}{q + bx} }  \:  is \:  equivalent \: to \:   \sqrt{ \frac{ax - p}{q + bx} }  = r :\\  =  > \sqrt{ \frac{ax - p}{q + bx} }  = r \\  \\ Raise \:  both \:  sides  \: to \:  the  \: power \:  of  \: two:  \\ =  >   \frac{ax - p}{q + bx}  =  {r}^{2} \\  \\ Multiply  \: both  \: sides \:  by  \: (q + b x):  \\  =  > ax - p =  {r}^{2} (q + bx) \\  \\ Expand  \: out \:  terms \:  of  \: the \:  right  \: hand  \: side:  \\ =  >  ax - p = q {r}^{2} + b {r}^{2}x \\  \\ Subtract \:  b {r}^{2}x - p \:   from \:  both \:  sides:  \\  =  >   x(a - b {r}^{2} ) = p + q {r}^{2}  \\  \\  Divide \:  both \:  sides  \: by \:  a - b {r}^{2} :  \\  =  > x  =  \frac{p + q {r}^{2} }{a - b {r}^{2} }

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Sphinxa [80]
The answer is just half of the first fraction which is 3/2
3 0
3 years ago
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Nth term 12 10 8 6 4
Dmitry_Shevchenko [17]

Answer:

12-2(n-1).

Step-by-step explanation:

It can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12. The 5th term is 14-10=4; the 6th is 14-12=2.

4 0
3 years ago
In a fibonacci sequence the fourth term is 30 and the fifth is 49 what is the first term
scoundrel [369]

8 is the first.

Reasoning:

So we know what the Fibonacci sequence is. To get the next number, you add the number behind it, by the number behind that.

For example, these are the first 5 Fibonacci numbers.

1, 1, 2, 3, 5.

1 + 0 = 1.

So 1 is the second number.

1 + 1 is 2.

So 2 is the third number.

2 + 1 = 3.

So 3 is the fourth number.

3 + 2 = 5.

So 5 is the fourth number.

The problem:

If the fifth term is 49, and the fourth term is 30. We can subtract 49 by 30, to find the third number, and so on.

49 - 30 = 19.

So 19 is the third number.

30 - 19 = 11.

11 is the second.

19 - 11 = 8.

8 is the first.

7 0
4 years ago
-8 + 10 + (-3) -(-2)
Mice21 [21]

Answer:

1

Step-by-step explanation:

-8 + 10 + (-3) - (-2)

=> -8 + 10 - 3 + 2

=> 12 - 11

=> 1

4 0
4 years ago
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A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s.
Semenov [28]

Answer:

y = 240 cm crawl

x = 120 cm walking

Step-by-step explanation:

Logic....

8 0
3 years ago
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