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ahrayia [7]
2 years ago
7

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

Mathematics
1 answer:
tekilochka [14]2 years ago
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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Solve for t in terms of the other variables. <br> k= 3tm + rs
Lina20 [59]

Answer:

              t=\dfrac{k-rs}{3m}

Step-by-step explanation:

It's like solving any equation, except we have letters instead of numbers .

k = 3tm + rs           {subtract rs from both sides}

k - rs = 3tm            {divide both sides by (3m)}

\dfrac{k-rs}{3m}=t              {swap sides}

t=\dfrac{k-rs}{3m}            m≠0    

{m must be ≠0 because  you cannot divide by 0. There is no t for m=0}    

4 0
2 years ago
Evaluate 2 tan 45 - tan 60​
Darya [45]

Answer:

2 - √3

Step-by-step explanation:

tan45 = 1

tan60 = √3

2 tan 45 - tan 60​

2(1) - √3

=> 2 - √3

6 0
3 years ago
Read 2 more answers
Pls help 20 points <br><br> 7th grade math
irina [24]

Answer:

no

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Olivia is buying bundles of wood for a campfire.The bundles of wood can't be split up.if each bundle costs $3,how many bundles c
victus00 [196]

Answer:

3    

1 $ left over

Step-by-step explanation:

       

                                 10$

         wood              wood                wood  

           3$                      3$                    3$

          she wood only buy 3 and have 1$ left

3 0
2 years ago
Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60
RSB [31]

Answer:

f(x)=2x^{3}+24x^{2}+82x+60

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

f(x)=a(x+6)(x+5)(x+1)

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

60=a(0+6)(0+5)(0+1)

60=a(6)(5)(1)

60=30a

a=2

so

f(x)=2(x+6)(x+5)(x+1)

Applying the distributive property

Convert to expanded form                  

f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60

3 0
3 years ago
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