Center of the circle: C=(3,8)=(h,k)→h=3, k=8
Radius of the circle: r=5
Standard form of the equation for the circle:
(x-h)^2+(y-k)^2=r^2
(x-3)^2+(y-8)^2=5^2
(x-3)^2+(y-8)^2=25
General for of the equation for the circle:
(x)^2-2(x)(3)+(3)^2+(y)^2-2(y)(8)+(8)^2=25
x^2-6x+9+y^2-16y+64=25
x^2+y^2-6x-16y+73=25
x^2+y^2-6x-16y+73-25=25-25
x^2+y^2-6x-16y+48=0
Answer: The general form of the equation for the circle is:
x^2+y^2-6x-16y+48=0
By applying Exponential laws, option no. c which is,
stands correct.
What are exponents?
- A number's exponent indicates how many times that number has been multiplied by itself.
- However many times multiplying a given number is indicated by its exponent. Powers and indices are other names for exponents.
- An indication of the action of elevating to a power that is printed above and on the side of a mathematical form
- Exponent-related problems are solved using the rules of exponents or the properties of exponents. These characteristics are regarded as fundamental exponents rules that must be adhered to when solving exponents.
Given that,

Applying the law of exponents to the given expression,

Putting the given value in the above expression, we get,

Hence, by applying Exponential laws, option no. c which is,
stands correct.
Learn more about exponents here:
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Answer:
I'm not sure
Step-by-step explanation:
See the picture attached to better understand the problem
we know that
(x+20)+∠1=180°-------> by supplementary angles
∠1=160°-x
∠1+∠2=180°--------> by supplementary angles
∠2=180-(160-x)-----> ∠2=20+x
∠2=80°------> by corresponding angles
so
20+x=80
x=80-20-------> x=60°
the answer is60°