Answer:
(-3,-5)
Step-by-step explanation:
When rotating 180˚ degrees about the origin just switch the value of the number from positive to negative or negative to positive
The simplification of 25p^6q^9 / 45p^8q^4 using a positive exponent;
- Division is 5p^6 q^9 / 9p^8 q^4
- Elevated form is 5/9 p^-2 q^5
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions made up of factors, variables, terms, coefficients and constants.
They are also comprised of arithmetic operations such as addition, subtraction, multiplication, division, etc
We also know that index forms are also know as standard forms.
They are mathematical expressions showing the power of exponent of a variable in terms of another variable.
Given the index algebraic forms;
25p^6q^9 / 45p^8q^4
Using the rule of indices, we take the negative exponent of the divisor and multiply through.
We have;
5p^6 q^9 × 9p^-8 q^-4
Add exponential values
5/9 p^6-8 q^9 -4
5/9 p^-2 q^5
Thus, the expression is simplified to 5/9 p^-2 q^5
Learn more about index forms here:
brainly.com/question/15361818
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Answer:
e) Hence 2, -7 are roots of the equation X² + 5X - 14 = 0
Step-by-step explanation:
given equation : X² + 5X - 14 = 0
⇒ X² + 7X - 2X - 14 = 0
⇒ X·(X + 7) - 2·(X + 7) = 0
⇒ (X + 7)·(X - 2) = 0
⇒ X = -7, X = 2
<u>Hence 2, -7 are roots of the equation X² + 5X - 14 = 0</u>
If he once traveled 36 hours and he takes 6 hour trips you do
10x3=30 so every six hours he takes 30 minute brakes then 36 divided by 6 equlas 6 you would do 30x6= the answer!!! (Btw i do 6th grade math)
Answer: 450 rest 100
Step-by-step explanation:
So, we need to calculate this division 100.000/222 and get the rest.
Well, 222 enters in 1000 by 4 times.
222 times 4 is 888
So, 100.000/222 = 4
888-
We subtract 888 from 1000.
That will be 112
100.000/222 = 4
888
112
Now, get the next 0 down next to 112
100.000/222 = 4
888
1120
222 get in 1120 by 5 times.
5 times 222 = 1110
divide 1120 by 1110
100.000/222 = 45
888
1120
1110
That will be 10
100.000/222 = 45
888
1120
==10
Get the next zero down
100.000/222 = 45
888
1120
==100
222 gets in 100 by 0 times.
100.000/222 = 450
888
1120
==100
0
100 subtracted by 0 is 100
100.000/222 = 450
888
1120
==100
0
100
The rest is 100 and the result is 450
Now, you can do the verification:
222 time 450 is 99,900.
If you add the rest to 99,900 it will be 100.000. So the result is good
