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2 years ago

Subtract. Write your answer as a mixed number in simplest form. 5 1/2 - 2 1/6

Mathematics

1 answer:

tiny-mole [99]2 years ago

7 0

10/2+1/2 - 12/6+1/6. -> change the 5 and 6 to fractions

= 11/2 - 13/6. -> add up

= 33/6 -13/6. -> multiply the first fraction by 3 so.

that you have the same denominators

= 20/6. -> subtract

= 10/3

= 9/3 +1/3

= 3 1/3

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Express the equation y= x² + 10x +30 in the form y= a(x - h)² +k

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Answer:

$\large \boxed{\sf \ \ y=(x+5)^2+5 \ \ }$

Step-by-step explanation:

Hello, please find my work below.

$y=x^2+10x+30\\\\\text{*** We can notice that ***}\\\\\text{*** } x^2+10x = x^2+2\cdot 5 \cdot x=(x+5)^2-5^2=(x+5)^2-25\\\\y=x^2+10x+30=(x+5)^2-25+30=(x+5)^2+5\\\\$

a = 1

h = -5

k = 5

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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Answer:

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Step-by-step explanation:

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