Step-by-step explanation:
As we know that
- The circle center is equidistant from all three points, the distance being the circle radius.
- Any point equidistant from two points must lie on the perpendicular bisector of the line segment which join those two points.
- Which is, on the line through the midpoint of the line segment, perpendicular to the line segment.
The perpendicular bisector of the line segment joining the points (1, 1) and (1, 3) will be:
The perpendicular bisector of the line segment joining the points (1, 3), and (9, 2) will be:
These intersect at the center of the circle (5, 2).
The distance between (1, 1) and (5, 2) will be:
So the equation of the circle can be written as:
Answer:
4/3<x<7
Step-by-step explanation:
Given the inequalities
3 < 3 x − 1 < 2 x + 6
Add 1 to all sides
3+1 < 3x-1+1<2x+6+1
4 < 3x < 2x + 7
Split
4 < 3x
3x > 4
x > 4/3
4/3 <x
Also
3x < 2x + 7
3x-2x < 7
x <7
Combine
4/3<x<7
Hence the required solution is 4/3<x<7
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Answer:
47.0
Step-by-step explanation:
In this right angle triangle, we are faced with a challenge of two sides. The opposite side and the adjacent side, hence the tangent is used.
Where it is the opposite side and hypothenus side, the sine is used and when it is the hypothenus side and adjacent side, the cosine is used.
Hence, we have tan62°=x/25
We cross multiply, to have
25(tan 62°)= x
x = 47.01816
In rounding up numbers, number 1 to 4 will be rounded up to zero, while numbers 5 to 9 will be rounded up to 1.
Rounding up 47.01816 to the nearest tenth. The tenth value is the figure is 0, before it we have 1, which is to hundredth. 1 will be rounded up to zero.
So we have 47.0
The millions place is befor the second comma form left to right and fifty means tens place so skip to the left to times
Example:
←LEFT RIGHT→
tens place →50,000,000
↑
Millions
