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Kazeer [188]
3 years ago
12

G=x-c/x. for xhow do yoy make this an equation for x? help

Mathematics
1 answer:
zzz [600]3 years ago
7 0
1.
\displaystyle \text{if }\quad G=x-  \frac{C}{x} \\\\

x \neq 0

Multiply both sides by x:

\displaystyle Gx=x\bigg(x- \frac{C}{x}\bigg )\\\\Gx=x^2-C

Subtract from both sides Gx:
Gx-Gx=x^2-C-Gx\\x^2-Gx-C=0

Then solve this equation:

\displaystyle x^2-Gx-C=0\\\\x_{1,2}= \frac{G\pm  \sqrt{G^2+4C} }{2}

2.
\displaystyle\text{if}\quad G= \frac{x-C}{x}

x \neq 0

Multiply both sides by x:

Gx=x-C

Subtract from both sides Gx:

x-C-Gx=0

Then solve this equation:

\displaystyle x-Gx-C=0\\x(1-G)=C\\x= \frac{C}{1-G}




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The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimete
aleksklad [387]

Step-by-step explanation:

Given that,

The volume of gas in a container at a constant temperature varies inversely as the pressure.

V_1=32\ cm^3\\\\P_1=8\ \text{pounds}\\\\V_2=60\ cm^3

We need to find pressure P_2.

According to question,

\dfrac{V_1}{V_2}=\dfrac{P_2}{P_1}

Putting all the values

P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{8\times 32}{60}\\\\P_2=4.26\ \text{pounds}  

So, the pressure is 4.26 pounds.

7 0
3 years ago
The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm
klemol [59]

Answer:

x^2-10x+18=0

<em>a</em> = -10 and <em>b</em> = 18.

Step-by-step explanation:

Let <em>w</em> represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

20=2(x + w)

Let's put <em>w</em> in terms of <em>x</em>. Divide both sides by two:

10=x+w

And solve for <em>w:</em>

<em />w=10-x<em />

So, the rectangle measures <em>x</em> by (10 -<em> x</em>) cm.

<em />

According to the Pythagorean Theorem:

a^2+b^2=c^2

<em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.

Substitute <em>x</em> for <em>a, w</em> for <em>b</em>, and 8 for <em>c:</em>

<em />x^2+w^2=8^2<em />

Simplify and substitute:

x^2+(10-x)^2=64

Square:

x^2+(100-20x+x^2)=64

Isolate the equation. So:

2x^2-20x+36=0

Since the leading coefficient is one, divide both sides by two:

x^2-10x+18=0

Therefore, <em>a</em> = -10 and <em>b</em> = 18.

6 0
2 years ago
Now factor the expression. 1/2 a + 6
Sophie [7]

Answer:

1a+12/2

Step-by-step explanation:

1/2a+6

1/2a+6/1

1/2a+6/1*2

1/2a+12

1a+12/2

3 0
3 years ago
Please help me with this I need this done!!!
mote1985 [20]

Answer:

1=1

2=4

3= <NTR=115

   <RTM=45

  <STN=45

4= A-124

    B-45

    C-45

    D-90

    E-124

5=15

6=?

Step-by-step explanation:

FGHJK

8 0
3 years ago
121/132 in simplest form
Hunter-Best [27]

Answer:

11/12

Step-by-step explanation:

121 /132

Divide the top and bottom by 11

121/11 =11

132/11 =12

121/132 =11/12

8 0
3 years ago
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