All categories

3 years ago

Solve the literal equation for y a=9y-3yx

Mathematics

2 answers:

Novay_Z [31]3 years ago

6 0

$a=9y-3yx\\\\a=y\big(9-3x\big)\quad|:\big(9-3x\big)\\\\\\\boxed{y=\frac{a}{9-3x}}\qquad \text{for}\quad x\neq 3$

BigorU [14]3 years ago

5 0

Answer:

The value of the equation for y is $y=\frac{a}{9-3x}$ .

Step-by-step explanation:

Consider the provided equation.

$a=9y-3yx$

We need to solve the equation for y.

Take common y from right side.

$a=y(9-3x)$

Divide both the sides by 9-3x.

$\frac{a}{9-3x}=\frac{y(9-3x)}{9-3x}$

$y=\frac{a}{9-3x}$

Hence, the value of the equation for y is $y=\frac{a}{9-3x}$ .

You might be interested in

I need help on this logarithmic equation I need it solved step by step * It asks to solve it in terms of x. *

Rashid [163]

To solve the function in terms of x:

$\log _{4^x}2^a=3$

find the power of the subscripts of the log

$\begin{gathered} \log _{4^x}2^a=3 \\ \log _{2^{2x}}2^a=3 \\ \frac{a}{2x}\log _22=3 \\ \text{where }\log _22=1 \\ \frac{a}{2x}=3 \end{gathered}$

cross multiply the expression

$\begin{gathered} \frac{a}{2x}=3 \\ a=3(2x) \\ a=6x \end{gathered}$

Therefore the correct answer of a = 6x

3 0

1 year ago

How many times does 46 go into 351

Leona [35]

To find this you have to divide 351 by 46, which is <span>7.63043478261 but you can round it to 8. So it would be 8.</span>

8 0

3 years ago

Read 2 more answers

A rectangle is such that the length of 2 of each adjacent sides are in the ratio 1:3. A similar rectangle has 1 side of 6cm. Fin

Sliva [168]

Answer:

18 cm ;

2 cm

Step-by-step explanation:

Length of each adjacent side = 1 :3

If 1 side = 6 ; the possible values of the adjacent side ;

That is side 2 ÷

If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm

If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm

Hence, the two Possible values of the adjacent side = 18 cm or 2 cm

8 0

3 years ago

27a+21 i need to solve thi problem help me

Anika [276]

That's an expression, so the only thing you can do is simplify it, but that already looks simplified.

8 0

3 years ago

Will give brainliest

ehidna [41]

Answer:

25.047 or roughly 25.

Step-by-step explanation:

I solved it wrong the first time then i double check with wolframalpha and got the correct number.

We know that the area of the tile is 18 $\sqrt{3}$ and it makes a triangle, we also know the base and height. In this case the base is 2 $\sqrt{3}^{x/12}$ and the height is also given which is $\sqrt{3}^{\frac{x}{6} }$ .

Area of triangle = $\frac{bh}{2}$ ,

substituting we will end up with 18 $\sqrt{3}$ =( 2 $\sqrt{3}^{x/12}$ * $\sqrt{3}^{\frac{x}{6} }$ ) / 2

Here is the tricky part $\sqrt{x} = x^{\frac{1}{2} }$ , i totally forgot about that lol.

Simplifying: we will get 18 $\sqrt{3}$ = $3^{\frac{x}{8} }$

Now, in order to find the x, we will need to take the log of both sides.

$log18\sqrt{3} = \frac{x}{8} log3$

Solving for x we end up getting:

$8\frac{log18\sqrt{3} }{log3}$ = x

where x = 25.047.

To be honest I deserve a nobel prize not a brainliest lol.

Good question bro, take it easy.

5 0

3 years ago