Answer:
Step-by-step explanation:
Let's begin by factoring x^2 + 9x - 10
When you do that you get
(x - 1) (x + 10)
If that can be done then let x^(2n) + 9^n - 10 be factored into
(x^n - 1) (x^n + 10) Both of these can be equated to zero.
x^n - 1 = 0
x^n = 1
Take the nth root of both sides
No matter what n is the root of 1 is still going to be 1
x^n + 10 = 0
x^n = - 10
This one is a little harder. It depends whether n is odd or even. It it is odd, no problem. The nth root of - 10 can be found.
For example, suppose n = 5. Then the 5th root of -10 is - 1.58
You can find this on your calculator by doing
(-)
10
y^x or x^y or ^ [whichever your calculator has]
=
and you should get - 1.58
======================
If n is even, you have a problem. If you do not know what complex numbers are, they this problem has not meaning. If n = 6, then you can take the sixth of 10. Then the answer becomes If you do know what then the answer becomes 1.468i. I would say if n is even there is no solution.
Answer:
a) From 10 to 11, Sarah rode 12 km in one hour. That means her velocity was 12 km/hr.
b) Sarah passed by her home at 12:45.
c) From 12 to 13, Sarah rode 15 km. Thus, her velocity was 15 km/hr. From 13 to 14 she rode 3 km. Thus, her velocity was 3 km/hr.
d) Her average velocity was 12+0+15+3/4, or 30/4 which is 7.5 km/hr.
Answer:
144 i multiplied 12x12=144
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
48-4=44 44/11=4 therefore the answer is 4.
Answer:
1 quarter, 1 dime, and 4 nickels
Step-by-step explanation:
First you subtract the 18 cents that were found in the pocket from the total amount of 73 cents to get the total amount of the 6 other coins:
73-18=55.
So the total amount of the 6 coins equals 55 cents.
The quarter = 25 cents
The dime = 10 cents
The 4 nickels = 5 + 5 + 5 + 5 = 20
1 quarter, 1 dime, and 4 nickels add up to the necessary total of 6 coins and when you add up the total cents of the quarter, dime, and nickels, 25 + 10 + 20 it comes to the sum of 55, which is how much the 6 coins are worth in total.
So therefore, the answer is 1 quarter, 1 dime, and 4 nickels.
