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trapecia [35]
3 years ago
13

HELP ASAP question 5!!!

Mathematics
2 answers:
AnnyKZ [126]3 years ago
8 0

Step-by-step explanation:

Total area of merged figure = area of vertical rectangle + area of horizontal rectangle.

\therefore \: 3x(2x - 7) + (3x + 4)x = 85 \\  \\  \therefore \: 6 {x}^{2}  - 21x+ 3 {x}^{2}  + 4x = 85 \\  \\ \therefore \: 6 {x}^{2}  + 3 {x}^{2} - 21x + 4x  - 85 = 0 \\  \\ \huge \red {\boxed {\therefore \: 9 {x}^{2}  - 17x  - 85 = 0}} \\ hence \: proved.

docker41 [41]3 years ago
3 0

Answer:

Step-by-step explanation:

(3x + 4)(x) + (2x - 7)(3x) = 85

3x² + 4x + 6x² - 21x = 85

9x² - 17x - 85 = 0

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Answer:

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Step-by-step explanation:

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Sam is fencing in his property. The length is 12 feet less than twice the width. If the total amount of fence needed is 216 feet
DaniilM [7]

Answer:

L = 68 ft

Step-by-step explanation:

To find the perimeter of something you need to add up all the sides

In this case I am assuming Sam's property is a square/rectangle

  • Which means the formula for the perimeter is P = 2L + 2W

If L = 2W - 12 and P = 216, we can use these values and plug them into our perimeter equation to solve for w and then solve for l

  • 216 = 2(2W -12) + 2W → ditributing the 2 to the (2w - 12) gives us
  • 216 = 4W - 24 + 2W → combing like terms gives us
  • 216 = 6W - 24 → adding 24 to both sides gives us
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With the width being solved, we can now plug that value into our length equation

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3 0
3 years ago
Solve the equation.<br><br> 3(2w−7)=3
jarptica [38.1K]

Answer:Simplifying

3(2w + -7) = 3

Reorder the terms:

3(-7 + 2w) = 3

(-7 * 3 + 2w * 3) = 3

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-21 + 6w = 3

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '21' to each side of the equation.

-21 + 21 + 6w = 3 + 21

Combine like terms: -21 + 21 = 0

0 + 6w = 3 + 21

6w = 3 + 21

Combine like terms: 3 + 21 = 24

6w = 24

Divide each side by '6'.

w = 4

Simplifying

w = 4

Step-by-step explanation:

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Rom4ik [11]

In scientific notation, it would be:

A)3.3*10^2

4 0
3 years ago
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