It's 1 mile. She ran an 8th if an mile. If the ran 1/8 of a mile 8 times, it adds up to 1 mile.
The answer is x = 6
To solve this you would use the pythagorean theorem which is a^2 + b^2 = c^2
In this problem a = x b = 8 and c = 10
You would then square these numbers
x^2 + 64 = 100
Next, you would subtract 64 from both sides.
x^2 = 36
All that’s left is the find the square root, which is x = 6.
So, therefore, you’re answer is x = 6
Answer:
The radius is 10
Step-by-step explanation:
Given
![x^2 + y^2 + 21 = 40 + 18y.](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%5E2%20%2B%2021%20%3D%2040%20%2B%2018y.)
Required
The radius
Rewrite as:
![x^2 + y^2 - 18y = 40-21](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%5E2%20-%2018y%20%3D%2040-21)
Subtract 81 from both sides
![x^2 + y^2 - 18y +81= 40-21+81](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%5E2%20-%2018y%20%2B81%3D%2040-21%2B81)
Expand
![x^2 + y^2 - 9y - 9y +81= 40-21+81](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%5E2%20-%209y%20-%209y%20%2B81%3D%2040-21%2B81)
Factorize
![x^2 + y( y- 9) - 9(y -9)= 40-21+81](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%28%20y-%209%29%20-%209%28y%20-9%29%3D%2040-21%2B81)
Factor out y - 9
![x^2 + (y- 9) (y -9)= 40-21+81](https://tex.z-dn.net/?f=x%5E2%20%2B%20%28y-%209%29%20%28y%20-9%29%3D%2040-21%2B81)
Express as squares
![x^2 + (y- 9)^2= 100](https://tex.z-dn.net/?f=x%5E2%20%2B%20%28y-%209%29%5E2%3D%20100)
![x^2 + (y- 9)= 10^2](https://tex.z-dn.net/?f=x%5E2%20%2B%20%28y-%209%29%3D%2010%5E2)
The equation of a circle is:
![(x - a)^2 + (y- b)= r^2](https://tex.z-dn.net/?f=%28x%20-%20a%29%5E2%20%2B%20%28y-%20b%29%3D%20r%5E2)
By comparison:
![r^2=10^2](https://tex.z-dn.net/?f=r%5E2%3D10%5E2)
![r = 10](https://tex.z-dn.net/?f=r%20%3D%2010)
Answer:
You have to add them then divide by the number of cups
Step-by-step explanation:
The answer to your question is "C. 4 feet/ 1 second."
When the rate has a quantity of 1, it is a unit rate. So if the rate is 4 feet to 1 second (or four feet per second), it would be considered a unit rate.