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jek_recluse [69]
3 years ago
9

For each of the equations below, solve for y in terms of x. ! a. 2x – 3y = 12

Mathematics
1 answer:
ira [324]3 years ago
7 0

Answer:

\large\boxed{y=\dfrac{2}{3}x-4}

Step-by-step explanation:

2x-3y=12\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\2x-2x-3y=12-2x\\\\-3y=12-2x\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3y}{-3}=\dfrac{12}{-3}+\dfrac{-2x}{-3}\\\\y=-4+\dfrac{2}{3}x

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The length of a square is 4x-3. Find the area in terms of x
prisoha [69]

Answer:

The area  of square in terms of x = 16x² -24x + 9

Step-by-step explanation:

It is stated in the question that the length of a square = 4x - 3

Formula to find the area of the square is

<h2 /><h2>Area = length²</h2><h2 />

Area = ( 4x - 3 )²

<em>by using ( a - b )² = a² + b² - 2ab</em>

here a = 4x and b = -3

So,

(4x)² + (-3)² - 2(4x)(3)

16x² + 9 - 2(12x)

16x² + 9 - 24x

16x² -24x + 9

The area  of square in terms of x = 16x² -24x + 9

6 0
3 years ago
-x²-8x-16=0 <br>what is the solutions by solving by quadratic equations ​
Alika [10]

Answer:

x = - 4

Step-by-step explanation:

Given

- x² - 8x - 16 = 0 ( multiply through by - 1 to clear the leading negative )

x² + 8x + 16 = 0 ← this is a perfect square

(x + 4)² = 0 ( take the square root of both sides )

x + 4 = 0 ( subtract 4 from both sides )

x = - 4

6 0
3 years ago
A certain truck weighs 2 metric tons A person weighing 60 kg get in the truck followed by a 70 kg person how many kilograms does
DiKsa [7]
The truck now weighs 2130 kilograms. Hope this helps.
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3 years ago
What’s the value of x
Vladimir [108]

Answer:

C. x=42

Step-by-step explanation:

16 + 3x + y = 180

126 + 16 + y = 180

y = 38

16 + 3x + 38 = 180

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3x = 126

x=42

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3 years ago
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