The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Learn more about circle here: brainly.com/question/12823137
#SPJ4
Answer:
gggggggggg
Step-by-step explanation:
gggggggggggg
Answer: The answer is 4.5
Answer:
Integral will be diverging in nature
Step-by-step explanation:
We have given integral 
Now after solving the integral
![[\frac{3}{2}\frac{x^3}{3}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B3%7D%7B2%7D%5Cfrac%7Bx%5E3%7D%7B3%7D%5D)
limit from 5 to infinite
So ![[\frac{3}{2}\frac{\infty^3}{3}]-[\frac{3}{2}\times \frac{5^3}{3}]=\infty](https://tex.z-dn.net/?f=%5B%5Cfrac%7B3%7D%7B2%7D%5Cfrac%7B%5Cinfty%5E3%7D%7B3%7D%5D-%5B%5Cfrac%7B3%7D%7B2%7D%5Ctimes%20%5Cfrac%7B5%5E3%7D%7B3%7D%5D%3D%5Cinfty)
As after solving integral we got infinite value so integral will be diverging in nature
