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Anestetic [448]
3 years ago
10

The length of a rectangle is 5 units more than the width. The area of the rectangle is 36 units. What is the length, in units, o

f the rectangle?
Mathematics
2 answers:
sergey [27]3 years ago
7 0

Answer:

11 units

Step-by-step explanation:

Let's do it this way:

Length = l

width = w

initial equation for area is l * w

We know that l = w+5

substitute.

w+5 * w = 36

solve.

6w = 36

w=6

The width is 6 units.

6+5 = 11

length = 11 units

Olegator [25]3 years ago
6 0

Answer:

It's 9. I just did it on Deltamath

Step-by-step explanation:

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Tanzania [10]

Answer:

a = 13 and b = 12-5i

Step-by-step explanation:

We need a common denominator

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---------- + ---------

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(3+2i) (2+3i)         (5-i)(3-2i)

------------------ + --------------------

(3-2i) (2+3i)          (2+3i) (3-2i)

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6 +4i+9i+6i^2 +15-3i-10i+2i^2        

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(2+3i) (3-2i)

We know that i^2 = -1

21 +8(-1)        

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(2+3i) (3-2i)

21 -8        

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(2+3i) (3-2i)

13        

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(2+3i) (3-2i)

Foil the denominator

13

---------------

6 +9i -4i -6i^2

Combine like terms

13

----------------

6+ 5i -6(-1)

13

----------

12 +5i

We know have

13

-------------

12 + 5i

Multiply by the conjugate

13               ( 12-5i)

------------- * -------------

12 + 5i         12 -5i

13 (12-5i)

--------------

144 +25

13(12-5i)

-------------

169

12-5i

------------

13

The parentheses are (12-5i)/13

We need the reciprocal to make the equation become 1

which is 13/ 12-5i

a = 13 and b = 12-5i

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Answer:

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Step-by-step explanation:

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