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Rudiy27
3 years ago
9

Literal equation S=2 (lw+lh+wh) solve for w

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0
S=2\left( lw+lh+wh \right) \\ \\ S=2\left\{ w\left( l+h \right) +lh \right\} \\ \\ \frac { 1 }{ 2 } \cdot S=2\left\{ w\left( l+h \right) +lh \right\} \cdot \frac { 1 }{ 2 } \\ \\ \frac { S }{ 2 } =w\left( l+h \right) +lh\\ \\ w\left( l+h \right) =\frac { S }{ 2 } -lh\\ \\ \frac { 1 }{ \left( l+h \right)  } \cdot w\cdot \left( l+h \right) =\frac { 1 }{ \left( l+h \right)  } \left( \frac { S }{ 2 } -lh \right)

\\ \\ w=\frac { 1 }{ \left( l+h \right)  } \left( \frac { S }{ 2 } -lh \right)
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Solve for x: 4(x + 2) = 3(x − 2)<br><br>A) −2<br>B)−4<br>C) −10<br>D) −14
BARSIC [14]

4(x+2)=3(x-2)

Multiply the first bracket by 4

Multiply the second bracket by 3

4x+8=3x-6

Move 3x to the left hand side, whenever moving a number with a letter the sign changes ( positive 3x to negative 3x)

4x-3x+8=3x-3x-6

x+8=-6

Move positive 8 to the right hand side

x+8-8=-6-8

x=-14

Check answer by using substitution method

Use x=-14 into both of the equations

4(-14+2)=3(-14-2)

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3 years ago
3x+2y=-15 2x=-18 elimination
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Answer: (-9,6)


Step-by-step explanation:

3x+2y=-15

2x=-18

First solve for x in second equation

2x=-18

2x/2=-18/2

X= -9

Now substitute your x into first equation to find y

3(-9)+2y= -15

-27+2y=-15

2y= -15+27

2y= 12

2y/2=12/2

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3 years ago
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Step-by-step explanation:

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3 years ago
What is the value of x in the equation x + 24. 5 =34. 8
ser-zykov [4K]

Answer:

x = 10.3

Step-by-step explanation:

x + 24. 5 = 34.8

  - 24.5   - 24.5

x = 10.3

Check your answer:

x + 24. 5 = 34.8

10.3 + 24.5 = 34.8

34.8 = 34.8

Hope this helps!

3 0
2 years ago
Read 2 more answers
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