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2 years ago

What did Diocletian do to change the way the Roman Empire was ruled?How would we add -3 + (-9) on the number line?

1 answer:

5 0

Diocletian secured the empire's borders and purged it of all threats to his power. He separated and enlarged the empire's civil and military services, and reorganized the empire's provincial divisions, establishing the largest and most bureaucratic government in the history of the empire.

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Please help w my geometry! I need to show my work too. 10 points

salantis [7]

Because AB is a midsegment, the length of AB is half he length of XZ so basically you do
2(3x-1)=34.
Divide 2 by both sides to get 3X-1=17
Add 1 to boh sides to get 3X=18
Divide 3 from boh sides to get X=6
Hope this helps :)

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3 years ago

Alli's ice cream shop offers 5 flavors and 10 toppings. Jali's ice cream shop offers 7 flavors and 7 toppings. Fernando's ice cr

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C. Fernando's ice cream shop

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3 years ago

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Colton has 8 comedy movies, 6 action movies, 5 fantasy movies, and 1 drama movie on his list of favorite movies.

Alla [95]

Answer:

For every 5 movies on the list there are 2 comedy movies

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3 years ago

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(5x^3-8x^2+9x+12)/(x-3)<br><br> please answer with sentences on how to do it step by step. thanks!

Anastaziya [24]

Answer:

$5x^2+7x+30+\frac{102}{x-3}$

Step-by-step explanation:

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}5x^3-8x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{5x^3}{x}=5x^2\\\mathrm{Quotient}=5x^2\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}5x^2:\:5x^3-15x^2\\\mathrm{Subtract\:}5x^3-15x^2\mathrm{\:from\:}5x^3-8x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=7x^2+9x+12\\\mathrm{Therefore}\\=5x^2+\frac{7x^2+9x+12}{x-3}$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}7x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{7x^2}{x}=7x\\\mathrm{Quotient}=7x\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}7x:\:7x^2-21x\\\mathrm{Subtract\:}7x^2-21x\mathrm{\:from\:}7x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=30x+12\\\mathrm{Therefore}\\=5x^2+7x+\frac{30x+12}{x-3}\\$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}30x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{30x}{x}=30\\\mathrm{Quotient}=30\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}30:\:30x-90\\\mathrm{Subtract\:}30x-90\mathrm{\:from\:}30x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=102\\\mathrm{Therefore}\\=5x^2+7x+30+\frac{102}{x-3}$

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2 years ago

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Please help me out if possible!

oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Hi,

So lets answer this question;

Here we know that:

69° + z = 180° [Straight angle or Supplementary angle]

⇒ z = 180° - 69°

= <u>111°</u>

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3 years ago