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9966 [12]
3 years ago
7

Katrin is making a poster for school elections. She draws a line 20.4 cm long across the poster board. She starts at one end of

the line and makes a mark every 3.4 cm along it. She plans to write the letters of her name in the spaces between the marks. Will Katrin make enough spaces for each letter of her name to go in one space?
Mathematics
1 answer:
nevsk [136]3 years ago
3 0
Well, to find out how many times 20.4 can split into 3.4, you need to divide 20.4÷3.4 and you will get 6, and Katrin (K-A-T-R-I-N) is 6 letters, so you have enough room, the answer is yes.
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Which expression is equivalent to 36^-1/2
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ANSWER


( {36})^{ (-  \frac{1}{2}) }  =  \frac{1}{6}


EXPLANATION



The given expression is


{36}^{( -  \frac{1}{2} )}
This is having a negative index. We must first of all change to a positive index.


Recall that,



{a}^{ - m}  =  \frac{1}{ {a}^{m} }

We apply this law of exponents to get,



{36}^{( -  \frac{1}{2} )}  =  \frac{1}{ {36}^{(  \frac{1}{2} )} }

We cab rewrite the given expression to obtain;



{36}^{( -  \frac{1}{2} )}  =  \frac{1}{  \sqrt{36}  }

This will simplify to give us,


{36}^{( -  \frac{1}{2} )}  =  \frac{1}{  6 }


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Resolver la siguiente ecuación por eliminación o sustitución: a-8b= -9 a-2b= -7
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Answer: Solution: a=\dfrac{-19}{3} and b=\dfrac{1}{3} .

Step-by-step explanation:

The given pair of equations:

a-8b= -9\ ...(i)\\\\ a-2b= -7\ ...(ii)

Eliminate equation (i) from (ii) , we get

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Put value of b in (ii) , we get

a-2\times\dfrac{1}{3}=-7\\\\\Rightarrow\ a=-7+\dfrac{2}{3}\\\\\Rightarrow\ a=\dfrac{-21+2}{3}\\\\\Rightarrow\ a=\dfrac{-19}{3}

Solution: a=\dfrac{-19}{3} and b=\dfrac{1}{3} .

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