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lakkis [162]
3 years ago
10

Can someone please help me with 13 and 14, please show work, thx :)

Mathematics
1 answer:
Shalnov [3]3 years ago
7 0
13.
1st: split the 1 shape into 2 shapes. (spit across to where you see one right angle(top), and a trapezoid(bottom)

2nd: now what i did was fill that gap to where the total height is 9 and the total length is 7. ( if you don't want to do that it is fine )

3rd: for the top do 5 times 2 = 10

4th: for the bottom do 4 times 5 = 20

5th: add 10 (top) and 20 (bottom) = 30
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The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the dimensions
mr_godi [17]

Answer:

Width = 2

Length = 5

Step-by-step explanation:

let A be the area of the rectangle

   L be the length of the rectangle

   w be the width of the rectangle

<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’

A = L × w

…………………………………………………

A = L × w

⇔ 10 = (w + 3) × w

⇔ 10 = w² + 3w

⇔ w² + 3w - 10 = 0  

<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 =  0 :

Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49

then √Δ = 7

\Longrightarrow w=\frac{-b+\sqrt{\Delta } }{2a} =\frac{-3+7}{2} =2

  or\ w=\frac{-b-\sqrt{\Delta } }{2a} =\frac{-3-7}{2} =-5

-5 is not valid ,because w represents the width

which must be a positive number

Then  w = 2

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Width = 2

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5 + x + 5 + x + x

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Only contains 1 term, <u>eliminate</u>.

With this said, were left with:

5 + x + 5 + x + x

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2 years ago
Use the distributive property to evaluate the expression.
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Answer:

208 or 26(8)

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