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Maru [420]
4 years ago
9

A rectangle has an area of 209 square feet. The sides of the rectangle measure (4x-5) feet and (4x+3) feet. Find the dimensions

Mathematics
1 answer:
Nataly_w [17]4 years ago
8 0
-------------------------------------------------------------
Formula for Area :
-------------------------------------------------------------
Area = Length x Width

Since we know that the area is 209 ft² and the sides are (4x-5)ft and (4x+3) ft, we will plug in these values and solve for x.

209 = (4x-5)(4x + 3)

-------------------------------------------------------------
Expand the quadratic using FOIL:
-------------------------------------------------------------
209 = 16x² + 12x - 20x - 15

-------------------------------------------------------------
Combine like terms:
-------------------------------------------------------------
209 = 16x² - 8x - 15

-------------------------------------------------------------
Take away 209 from both sides :
-------------------------------------------------------------
0 = 6x² - 8x - 224

-------------------------------------------------------------
Switch Sides :
-------------------------------------------------------------
16x² - 8x - 224 = 0

-------------------------------------------------------------
Divide by 8 through :
-------------------------------------------------------------
2x² - x - 28 = 0

-------------------------------------------------------------
Factoise :
-------------------------------------------------------------
(2x + 7) (x - 4) = 0

-------------------------------------------------------------
Apply zero product property:
-------------------------------------------------------------
2x + 7 = 0 or x - 4  = 0
x = -7/2 (rejected) or x = 4

-------------------------------------------------------------
Find the 2 sides :
-------------------------------------------------------------
(4x - 5) = (4(4) - 5) = 11 ft
(4x + 3) = (4(4) + 3)  = 19 ft

-------------------------------------------------------------
Answer: The dimensions are 11 ft by 19 ft.
-------------------------------------------------------------








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hichkok12 [17]
You wanna find a common denominator so put the problem like this

3 1/3.< You wanna take 3 (denominator)
And times it
By 5 then you wanna take the 5. - 2 2/5.< (deniminator) and times it by 3.
____ Your common denominator is 15

now it will look like this

3 1/15

-2 2/15
———-

Now subtract. You will need to borrow 1 from 3 since you cant subtract 2 by 1 so the 3 will become a 2 and the 1 will be come 11 and here you can subtract so this will be your answer.

2 11/15

-2 2/15
-———-
0 9/15

Thats your official answer 9/15 hope I helped :)
4 0
3 years ago
if 1 000 bottles of an award-winning wine are to be packed in special gift boxes which can hold six bottles each, calculate how
Anuta_ua [19.1K]

Step-by-step explanation:

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There are various shapes of wire antennas such as a straight wire (dipole), loop, and helix which are shown in Figure 1.3.

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6 0
2 years ago
Read 2 more answers
13. Simplify –3√ 2 + 3√ 8 A. 0 B. 3√ 2 C. 9√ 2 D. –3√ 2
valina [46]

Answer:

B. 3√2.

Step-by-step explanation:

  1. -3√2 + 3√4x2
  2. -3√2 + 6√2
  3. 3√2

These are all of the steps to completely, find the correct answer to your question.

Hope this helps!!!

Kyle.

7 0
3 years ago
Does anybody know the answer
denis-greek [22]

Answer:

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3 years ago
Read 2 more answers
How do I do this please help
Umnica [9.8K]

Answer:

wrong as his calculation was incorrect at initial level itself when he found the result of the division

Step-by-step explanation:

Andre said

3 ÷ \frac{2}{3}

=3 \times \frac{3}{2}

=\frac{3 \times 3}{2}

=\frac{9}{2}

but andre calculated it as

=4\tfrac{1}{3}

=\frac{4 \times 3 + 1}{3}

=\frac{13}{3}

Hence his calculation was incorrect at initial level itself

4 0
3 years ago
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