Answer:
a) The center coordinates O is (0,0)
b) The radius C = 15
Step-by-step explanation:
The given equation of the circle is : ![x^{2} + y^{2} = 225](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%20%2B%20%20y%5E%7B2%7D%20%20%3D%20225)
Now, general form of the equation of the circle is:
![(x-h)^{2} + (y - k)^{2} = r^{2}](https://tex.z-dn.net/?f=%28x-h%29%5E%7B2%7D%20%20%2B%20%28y%20-%20k%29%5E%7B2%7D%20%20%20%3D%20r%5E%7B2%7D)
where (h,k) are the center co -ordinates and r is the radius of the circle.
Comparing the general equation with the given equation, we get
![(x-0)^{2} + (y - 0)^{2} = (15)^{2}](https://tex.z-dn.net/?f=%28x-0%29%5E%7B2%7D%20%20%2B%20%28y%20-%200%29%5E%7B2%7D%20%20%20%3D%20%2815%29%5E%7B2%7D)
So, here the center coordinates (h,k) = (0,0)
And the radius of the given circle is r = 15
Answer:
n=2
Step-by-step explanation:
3n-7=3-2n
5n=10 (add 2n on both sides and also add 7 on both sides of the equal sign)
n=2
DUBS
Divisor and Dividend are fractions lying between 0 and 1
Also, Divisor > Dividend
⇒ A smaller number is being divided by a larger number
Whenever a smaller number is divided by a larger number, the quotient is less than 1
E.g. Let divisor be
and dividend be
÷
=
, which is less than 1
Hence, the answer is that the quotient will be less than 1
Given:
The system of equations is
![y=1.5x-3](https://tex.z-dn.net/?f=y%3D1.5x-3)
![y=1.5x+4](https://tex.z-dn.net/?f=y%3D1.5x%2B4)
To find:
The true statement about the given system of equations.
Solution:
The slope intercept form of a line is
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where, m is the slope and b is the y-intercept.
We have,
![y=1.5x-3](https://tex.z-dn.net/?f=y%3D1.5x-3)
![y=1.5x+4](https://tex.z-dn.net/?f=y%3D1.5x%2B4)
On comparing these two lines with slope intercept form, we get
![m_1=1.5,b_1=-3](https://tex.z-dn.net/?f=m_1%3D1.5%2Cb_1%3D-3)
![m_2=1.5,b_2=4](https://tex.z-dn.net/?f=m_2%3D1.5%2Cb_2%3D4)
Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.
Therefore, the correct option is A.
Answer:
Option 1 is the correct one given that v=value and t=time.
Step-by-step explanation: