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kykrilka [37]
3 years ago
9

The length of a rectangle is the sum of the width and 2. The area of the rectangle is 48 units. What is the length, in units, of

the rectangle?
Mathematics
1 answer:
suter [353]3 years ago
6 0

Length of the rectangle is 8 units

Step-by-step explanation:

  • Step 1: Find the length, let width be x.

Area of the rectangle = 48 units

Length = x + 2

⇒ Area = Length × Breadth

48 = x (x + 2)

48 = x² + 2x

x² + 2x - 48 = 0

x² + 8x - 6x + 48 = 0 (Product Sum rule to factorise)

x(x + 8) - 6(x + 8) = 0

(x - 6)(x + 8) = 0

⇒ x = 6, -8 (negative value is neglected)

∴ x = 6

x + 2 = 8

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yKpoI14uk [10]

Answer:

\frac{7}{8}

Step-by-step explanation:

you first need to change the mixed number to an improper fraction

\frac{13}{8}-\frac{3}{4}

then multiply the second fraction by 2 so that the denominator is the same in both fractions

\frac{13}{8} -\frac{6}{8}

\frac{7}{8}

5 0
3 years ago
Which of the following expression is equivalent to 8x^2~5x+3x(4-2x)?
ElenaW [278]

Answer:

2x^2 + 7x.

Step-by-step explanation:

8x^2 - 5x + 3x(4 - 2x)

= 8x^2 - 5x + 12x - 6x^2

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4 0
3 years ago
4X^2 - 8X + 4<br> - (2x^2 - 3X + 7 =
kykrilka [37]
I assume the way it's written is like this

4x^2 - 8x + 4 - (2x^2 - 3x + 7)

If that's the case, just combine like terms.

Let's begin with 4x^2. It has the same components as the -2x^2 (remember, since it's being subtracted in the original equation, the number is negative.)

4x^2 - 2x^2 = 2x^2

Now -8x and 3x (be careful, sometimes there's a minus sign in and out of the parentheses, this makes the number positive again

-8x + 3x = -5x

And then 4 and -7

4 - 7 = -3

So the simplified version is finally:

2x^2 - 5x - 3

Hope this helped! If you need me to explain anything, don't be afraid to ask.
5 0
3 years ago
NEED HELP ASAP John goes to Walmart and buys 10,000 popsicles for 2 dollars each. How much does John spend on popsicles?
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You would do 10,000 multiplied by 2


This equals $20,000


Hope this helps and hope I get brainliest!


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5 0
3 years ago
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seropon [69]

Answer:

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I would multiply first equation by 5 and second equation by -2.  The reason I would do this is because the y's would have opposite coefficients and when you add opposites you get 0.

The new set of equations would look like this:

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But I will slope here since we aren't asked to solve it.

Some texts use the term linear combination instead of elimination. They are the same.

7 0
3 years ago
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