Question:
Matthew walks 4/10 to mile to Zack's house. Which fraction is equivalent to 4/10?
Answer:
![Fraction = \frac{2}{5}](https://tex.z-dn.net/?f=Fraction%20%3D%20%5Cfrac%7B2%7D%7B5%7D)
Step-by-step explanation:
Given
![Fraction = \frac{4}{10}](https://tex.z-dn.net/?f=Fraction%20%3D%20%5Cfrac%7B4%7D%7B10%7D)
Required
Determine its equivalent
To do this, we simplify the fraction
Divide by 2/2
![Fraction = \frac{4/2}{10/2}](https://tex.z-dn.net/?f=Fraction%20%3D%20%5Cfrac%7B4%2F2%7D%7B10%2F2%7D)
![Fraction = \frac{2}{5}](https://tex.z-dn.net/?f=Fraction%20%3D%20%5Cfrac%7B2%7D%7B5%7D)
<em>Hence, 2/5 is an equivalent fraction</em>
Answer:
The velocity is v(t) = 2*t + a
a) we want to find the average velocity betwen t = 0 and t = 1.
We can do this as:
Average = (v(1) + v(0))/2 = (2*1 + a + 2*0 + a)/2 = 1 + a
b) now we want to find the total distance traveled in the time lapse from t = 0 to t = 4.
For this we can see the integral:
![d = \int\limits^4_0 {2*t + a} \, dt = 4^2 + a*4 - 0^2 - a*0 = 4^2 + a*4 = 16 + a^2](https://tex.z-dn.net/?f=d%20%3D%20%5Cint%5Climits%5E4_0%20%7B2%2At%20%2B%20a%7D%20%5C%2C%20dt%20%3D%204%5E2%20%2B%20a%2A4%20-%200%5E2%20-%20a%2A0%20%3D%204%5E2%20%2B%20a%2A4%20%3D%2016%20%2B%20a%5E2)
Hello the answer to your question is:
986388
Have a great day!~
Answer:
The center is (0,0) and the radius is 5
Step-by-step explanation:
To find the center of a circle, you need to look at the equation
In this case this equation could be written as
![(x-0)^2+(y-0)^2=5^2](https://tex.z-dn.net/?f=%28x-0%29%5E2%2B%28y-0%29%5E2%3D5%5E2)
The x value is x=0 for the center and the y values is y=0
The radius can be found by looking at the constant that is squared, so r=5
In the case of an equation like this
![(x-1)^2+(y+1)^2=3^2](https://tex.z-dn.net/?f=%28x-1%29%5E2%2B%28y%2B1%29%5E2%3D3%5E2)
The center point would be (1,-1) and r=3