Are you crazy, that’s way to much. Sorry buddy you’re by you’re self but at least Brainly thinks I’m answering a question.LOL.Sucks to be you
Answer:
A = -10
Step-by-step explanation:
A/2 = -5
Multiply both sides by the denominator of the fraction
We have A/2 x2 = -5 x 2
A = -10
Answer:
Yes, point B will lie inside the circle.
Step-by-step explanation:
Let the distance between point C and point A be the radius of our given circle.
We have been given that a circle with center C(4, -2) passes through the point A(1, 3).
Since we know that a point will lie inside circle if the distance between the point and center of circle is less than radius of circle.
Let us find distance between points C and A using distance formula.
![\text{Radius}=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}](https://tex.z-dn.net/?f=%5Ctext%7BRadius%7D%3D%5Csqrt%7B%28x_2-x_1%29%5E%7B2%7D%2B%28y_2-y_1%29%5E%7B2%7D%7D)
![\text{Radius}=\sqrt{(4-1)^{2}+(-2-3)^{2}}](https://tex.z-dn.net/?f=%5Ctext%7BRadius%7D%3D%5Csqrt%7B%284-1%29%5E%7B2%7D%2B%28-2-3%29%5E%7B2%7D%7D)
![\text{Radius}=\sqrt{(3)^{2}+(-5)^{2}}](https://tex.z-dn.net/?f=%5Ctext%7BRadius%7D%3D%5Csqrt%7B%283%29%5E%7B2%7D%2B%28-5%29%5E%7B2%7D%7D)
![\text{Radius}=\sqrt{9+25}](https://tex.z-dn.net/?f=%5Ctext%7BRadius%7D%3D%5Csqrt%7B9%2B25%7D)
![\text{Radius}=\sqrt{34}](https://tex.z-dn.net/?f=%5Ctext%7BRadius%7D%3D%5Csqrt%7B34%7D)
Radius of our circle is
. Now let us find distance between center of our circle and point B.
![\text{Distance between C and B}=\sqrt{(4-8)^{2}+(-2--2)^{2}}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%20between%20C%20and%20B%7D%3D%5Csqrt%7B%284-8%29%5E%7B2%7D%2B%28-2--2%29%5E%7B2%7D%7D)
![\text{Distance between C and B}=\sqrt{(-4)^{2}+(-2+2)^{2}}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%20between%20C%20and%20B%7D%3D%5Csqrt%7B%28-4%29%5E%7B2%7D%2B%28-2%2B2%29%5E%7B2%7D%7D)
![\text{Distance between C and B}=\sqrt{16+(0)^{2}}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%20between%20C%20and%20B%7D%3D%5Csqrt%7B16%2B%280%29%5E%7B2%7D%7D)
![\text{Distance between C and B}=\sqrt{16}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%20between%20C%20and%20B%7D%3D%5Csqrt%7B16%7D)
We can see that distance of point B from center of our given circle is less than distance between point A and center of circle, therefore point B will lie inside the circle.
This question is simply asking: What is the LCM(5,10,16). We can solve this by finding the prime factors of these numbers and then only consider the largest one of them. What I mean by that is this:
![5=5\\ 10=5*2\\ 16=2^4 \implies \\ \lcm{5,10,16}=5*2^4=80](https://tex.z-dn.net/?f=%205%3D5%5C%5C%2010%3D5%2A2%5C%5C%2016%3D2%5E4%20%5Cimplies%20%5C%5C%20%5Clcm%7B5%2C10%2C16%7D%3D5%2A2%5E4%3D80%20)
So, the second time these villains appear together (after 0), is at 80 seconds, and we can conclude that it takes 80 econds for the villains to appear after they've last appeared.
Using front end estimation the answer is 5.43 plus 2.67 which means that we only round the first number so 5.43 is 5 and 2.67 is 3 which means the answer is 8