Answer:
The equation of circle is
+
= 52
Step-by-step explanation:
Given the endpoints of diameter of a circle: (-16,-16) and (-4,-8)
We know that the equation of circle is given by
+
= 
where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.
To find (h,k): the center is midpoint of diameter
Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by
(
,
)
(
,
)
(-10, -12)
Hence (h,k) is (-10,-12)
Substituting values of (h.k) and (x.y) as (-10,-12) and (-4,-8) respectively in equation of circle, we get
+
= 
= 52
Substituting values of (h.k) and
, we get the equation of circle as
+
= 52
Hence the equation of circle is
+
= 52
Answer:
Solving it would turn into these:
(20x+37)/ x- 5
20+ (137/x-5)
Based on the information given, the number is 13
<h3>How to determine the number</h3>
From the information given;
Let the number be x
We have that;
3(my number) + 10 = my number + 36
Substitute the number as x, we have;
3x + 10 = x + 36
collect like terms
3x - x = 36 - 10
2x = 26
Make 'x' the subject of formula
x = 26/ 2
x = 13
The number is 13
Thus, based on the information given, the number is 13
Learn more about algebraic expressions here:
brainly.com/question/4344214
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Improper fractions have a greater numerator than the denominator:
8 = 8*(10/10) = 80/10
now add
8 + 9/10
80/10 + 9/10
(80 + 9)/10
89/10