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umka21 [38]
3 years ago
5

Make x the subject of the formula

Mathematics
1 answer:
kupik [55]3 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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1. since A^2= 36x^2, a=?<br> 2. since b^2= 49, b=?
Wewaii [24]

Answer:

D

Step-by-step explanation:

36x² - 49 ← is a difference of squares and factors in general as

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then

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7 0
2 years ago
Read 2 more answers
Find m∠TUL.
pogonyaev

 

Step-by-step explanation:

Actual graph for this problem is attached below

m∠TUV = 167°

m∠TUL = (x + 11)°

m∠LUV = (11x)°

m∠TUV= m∠TUL+ m∠LUV

now plug in the angles for each

m∠TUV= m∠TUL+ m∠LUV

167= x+11 +11x

solve the equation for x

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Subtract 11 from both sides

156=12x

divide both sides by 12

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m∠TUL = (13+ 11)° = (24)°

answer:

24°

4 0
3 years ago
Please help me find the answer! Please explain how you got it!
Ksenya-84 [330]

Answer:

B. 4.5c + 4 = 24

Step-by-step explanation:

T = cx + py  is the equation you are given.

T = 24 because it is the total amount of money you can spend.

x = 4.5 because each phone case costs 4.50 dollars

p = 2 because you bought 2 pop sockets.

y = 2 because each pop socket costs 2 dollars.

There is no c because you don't know the number of phone cases you bought.

Now, we have to substitute the values into the equation:

24 = 4.5x + 2(2)

24 = 4.5x + 4

4.5x + 4 = 24       <--- This is your answer

Hope this helps!

7 0
3 years ago
The line l passes through the point P = (1,-1,1) and has direction vector d = [2,3,1]. Determine whether l and the plane 4x-y+5z
suter [353]
Hello : 
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d </span><span>⊥ d' because : (4)(2)+(-1)(3)+(5)(1)=0
</span>the line is perpendicular to the plane .
3 0
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