Answer:
<em>The point lies barely outside of the circle</em>
Step-by-step explanation:
<u>Equation of a Circle</u>
Given its center (h,k) and radius r, the equation of a circle is given by
The circle given in the question is centered at (7,8) and has a radius of 6, thus its equation is
To find out if a point (a,b) is outside or inside the circle area, the following conditions apply.
if 
then the point lies outside of the circle area
if 
then the point lies inside of the circle area
Let's use the point as given (6,2)
Thus the point lies barely outside of the circle
Answer:
The measures of the acute angles are 38 and 52 degrees.
Step-by-step explanation:
In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles 
and 
.
The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:
Now we have two equations. If we simplify them, we get these:
Now you can substitute in the first equation for in the second equation
Add to both sides of the equation
Add 
to both sides
Divide both sides by 3
Now, you can substitute 
for in the first equation and simplify.
Therefore,
, and 
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Answer:
Step-by-step explanation:
Simplify
1
4
(
4
+
x
)
4
1
(4+x) to
4
+
x
4
4
4+x
.
4
+
x
4
=
4
3
4
4+x
=
3
4
2 Simplify
4
+
x
4
4
4+x
to
1
+
x
4
1+
4
x
.
1
+
x
4
=
4
3
1+
4
x
=
3
4
3 Subtract
1
1 from both sides.
x
4
=
4
3
−
1
4
x
=
3
4
−1
4 Simplify
4
3
−
1
3
4
−1 to
1
3
3
1
.
x
4
=
1
3
4
x
=
3
1
5 Multiply both sides by
4
4.
x
=
1
3
×
4
x=
3
1
×4
6 Simplify
1
3
×
4
3
1
×4 to
4
3
3
4
.
x
=
4
3
x=
3
4
The radius is 11. I did 7599 divied by 3.14 =2,420. 2,420 divied by 20 and got 121. then i squared that to get 11
