Answer:
![\large\boxed{r^2=(x+5)^2+(y-4)^2}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Br%5E2%3D%28x%2B5%29%5E2%2B%28y-4%29%5E2%7D)
Step-by-step explanation:
The equation of a circle:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
<em>(h, k)</em><em> - center</em>
<em>r</em><em> - radius</em>
<em />
We have diameter endpoints.
Half the length of the diameter is the length of the radius.
The center of the diameter is the center of the circle.
The formula of a distance between two points:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Substitute the coordinates of the given points (-8, 2) and (-2, 6):
![d=\sqrt{(6-2)^2+(-2-(-8))^2}=\sqrt{4^2+6^2}=\sqrt{16+36}=\sqrt{52}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%286-2%29%5E2%2B%28-2-%28-8%29%29%5E2%7D%3D%5Csqrt%7B4%5E2%2B6%5E2%7D%3D%5Csqrt%7B16%2B36%7D%3D%5Csqrt%7B52%7D)
The radius:
![r=\dfrac{d}{2}\to r=\dfrac{\sqrt{52}}{2}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7Bd%7D%7B2%7D%5Cto%20r%3D%5Cdfrac%7B%5Csqrt%7B52%7D%7D%7B2%7D)
The formula of a midpoint:
![\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5C%20%5Cdfrac%7By_1%2By_2%7D%7B2%7D%5Cright%29)
Substitute:
![x=\dfrac{-8+(-2)}{2}=\dfrac{-10}{2}=-5\\\\y=\dfrac{2+6}{2}=\dfrac{8}{2}=4](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-8%2B%28-2%29%7D%7B2%7D%3D%5Cdfrac%7B-10%7D%7B2%7D%3D-5%5C%5C%5C%5Cy%3D%5Cdfrac%7B2%2B6%7D%7B2%7D%3D%5Cdfrac%7B8%7D%7B2%7D%3D4)
![(-5,\ 4)\to h=-5,\ k=4](https://tex.z-dn.net/?f=%28-5%2C%5C%204%29%5Cto%20h%3D-5%2C%5C%20k%3D4)
Finally:
![(x-(-5))^2+(y-4)^2=\left(\dfrac{\sqrt{52}}{2}\right)^2\\\\(x+5)^2+(y-4)^2=\dfrac{52}{4}\\\\(x+5)^2+(y-4)^2=13](https://tex.z-dn.net/?f=%28x-%28-5%29%29%5E2%2B%28y-4%29%5E2%3D%5Cleft%28%5Cdfrac%7B%5Csqrt%7B52%7D%7D%7B2%7D%5Cright%29%5E2%5C%5C%5C%5C%28x%2B5%29%5E2%2B%28y-4%29%5E2%3D%5Cdfrac%7B52%7D%7B4%7D%5C%5C%5C%5C%28x%2B5%29%5E2%2B%28y-4%29%5E2%3D13)
Answer:
d) p(4) = 0.
Step-by-step explanation:
p(4) = 0:-
p(4) = 4^2 + 8(4) - 48
= 16 + 32 - 48
= 0.
This is an application of the Factor Theorem ( a special case of The Remainder Theorem)
The Factor theorem states that if (x - a) is a factor of P(x) then P(a) = 0.
"Review your credit report to make sure there are no unauthorized open accounts" action one can take to determine whether his or her identity has been stolen.
<u>Answer: </u>Option D
<u>Explanation:</u>
Fraudsters can use personal details to rob your bank account or run credit card bills, get insurance medical treatment or get a driver's license on your behalf. Anyone with a Social Security number is a possible victim of identity theft. Specialists believe that early identity theft awareness will considerably reduce the harm caused by theft.
The warning signs involve: a strange charge on your credit card bill, credit score is going up or down, a new account one didn’t open on their credit card, Inaccurate medical records etc. The actions which are needed to take immediately to check whether one got victimized or not are: Check your credit card statements and bank account, Run a credit report and Monitor your finances closely.
3
3(2x3+3x-4)
Mark brainliest please
Answer:1024 i think
Step-by-step explanation: