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spin [16.1K]
3 years ago
13

Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below. Todd wants to paint a design on the

wood along the diagonal shown. If each tile is 14 centimeters on each side, what is the length of the diagonal
Mathematics
1 answer:
harina [27]3 years ago
6 0

Answer: 448 centimeters

Step-by-step explanation:

Square has equal length and width.

If Tedd placed 32 square tiles along his wooden dining room table, each square tiles is 14centimeters.

The length of the diagonal is

14 centimeters * 32 square tiles

=448 centimeters.

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3 years ago
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How do you simplify this?<br>x²y+xy² / y²+2/5 × xy​​​
polet [3.4K]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • How do you simplify this?
  • x²y+xy² / y²+2/5 × xy

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

\sf\frac{  { x  }^{ 2  }  y+x { y  }^{ 2  }    }{  { y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy  } \\

Factor the expressions that are not already factored.

_____

<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>

<u>NUMERATOR</u> \downarrow

\sf \: x ^ { 2 } y + x y ^ { 2 }

Factor out xy.

\sf \: xy\left(x+y\right)

<u>DENOMINATOR</u> \downarrow

\sf{ y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy \\

Factor out 1/5.

\sf \: {\frac{1}{5}y\left(2x+5y\right)}  \\

_____

Continuing...

\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)}  \\

Cancel out y in both the numerator and denominator.

\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)}  \\

Expand the expression.

\sf\frac{x^{2}+xy}{\frac{2}{5}x+y}  \\

This can further simplified to as \downarrow

=    \boxed{\boxed{\bf\frac{5x\left(x  +y\right)}{2x+5y}}}

3 0
3 years ago
Which ordered pair is a solution of the equation y = x - 2?
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Answer:

One order pair is  

( 2,0)

Step-by-step explanation:

What ordered pairs are the options?

Pick a value for  

x

and solve for  

y

. Or find the intercepts.

If  

x

=

2

, then:

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=

2

−

2

⇒

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=

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So we have  

(

2

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0

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If  

x

=

0

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y

=

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⇒

y

=

−

2

Here we have  

(

0

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−

2

)

You can simply use  

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Answer:

i think its 96 dollars

Step-by-step explanation:

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6 0
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