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VashaNatasha [74]
2 years ago
6

Solve the equation 1/x + 1/3x = 4

Mathematics
1 answer:
Llana [10]2 years ago
8 0

Answer:

x = \frac{1}{3}

Step-by-step explanation:

\frac{1}{x} + \frac{1}{3x} = 4 (Multiply everything by LCM)

3x*\frac{1}{x} + 3x*\frac{1}{3x}=3x*4 (Simplify the fractions)

3+1=12x\\4=12x\\x=4/12\\x=\frac{1}{3}

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Two circles are concentric if they have the same center.
Tpy6a [65]

9514 1404 393

Answer:

  (b)  (x – 4)^2 + (y – 6)^2 = 16

Step-by-step explanation:

The equation for a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

You want the equation for a circle with center (4, 6) and radius 4. That equation is ...

  (x -4)^2 +(y -6)^2 = 16

3 0
2 years ago
Can someone solve and explain how to do these absolute equations for 40 points? I'll give brainliest to the best correct answer.
irga5000 [103]

Answer:

Explanation Below

Step-by-step explanation:

1.    -4 + | x - 1 | = 3

= -4 + | x - 1 | + 4 = 3 + 4

= | x - 1 | = 7

= x - 1 = -7     or    x - 1 = 7

= x = -6 or x = 8

2.   6 + 4 | 2x + 6| = 14

 = 6 + 4 | 2x + 6 | - 6 = 14 - 6

 = 4 | 2x + 6 | = 8

 = 4 | 2x + 6 | / 4 = 8/4

 = 2x + 6 = -2          or         2x + 6 = 2

 = x = -4    or     x = -2

3.  -10 + | -6 - x | = 1

  = -10 + | -6 + x | + 10 = 1 + 10

  = | -6 - x | = 11

  =  -6 - x = -11     or   -6 - x = 11

  = x = -17        or       x = 5

4.    | 7 - 2x | + 4 = 5

   = | 7 - 2x | + 4 - 4 = 5 - 4

   = | 7 - 2x | = 1

   = 7 - 2x = -1            or             7 - 2x = 1

   = x = 3       or   x = 4

Here are the Steps:

SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Hopes this Helps :D

Mark me Brainliest : )

4 0
2 years ago
2+2+4= 8 x 12=<br> .........
Sveta_85 [38]

Answer:

96

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
In a population of 10,000 geese the growth rate is 4% per year. What is the total increase in population over 4 years? Round you
omeli [17]

Answer:

Step-by-step explanation:

10000*4%= 400 Geese year1

10400*4%=416 Geese  year 2

10816*4%= 432.64 Geese year 3

11,248.64*4%= 449.95 Geese. year 4

11248.64+449.95= 11698.59

11698.59-10000=1698.59

Increased by 1699 Geese.

3 0
2 years ago
Read 2 more answers
The lines below are perpendicular if the slope of the solid line is 4 what is the slope of the dashed line
const2013 [10]

Answer:

The slope of the dashed line is -\frac{1}{4}

Step-by-step explanation:

Perpendicular lines and slopes:

If two lines are perpendicular, the multiplication of their slopes is -1.

What is the slope of the dashed line

Perpendicular to a line with slope 4, so:

4m = -1

m = -\frac{1}{4}

The slope of the dashed line is -\frac{1}{4}

8 0
3 years ago
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