The circumcenter is found by finding the intersection of at least 2 perpendicular bisector segments.
Find the perpendicular bisector to segment AB. This is the line y = -3.5; the idea is that you find the equation of the horizontal line through the midpoint of AB. The midpoint has a y coordinate of -3.5. This line is shown in red horizontal line in the attached image below.
The midpoint of AC is 2.5, so the perpendicular bisector to AC is x = 2.5 which is shown as the vertical green line in the same diagram.
The red and green lines cross at the location (2.5, -3.5) which is the circumcenter's location. If you were to draw a circle through all three points A, B, & C, then this circle would be centered at (2.5, -3.5)
If point D is the circumcenter, then we know this
AD = BD = CD
basically the distance from the center to any point on the triangle is the same. This is due to the fact that all radii of the same circle are the same length.
<h3>Answer: (2.5, -3.5)</h3>
note: 2.5 in fraction form is 5/2 while -3.5 in fraction form is -7/2
Subtract 2n
3m = -2n + 7
Divide by 3
Solution: m = -2/3n + 7/3
Answer:
radius = C / 2π :)
Step-by-step explanation:
The circumference is 2πr, right?
Let's put this information into an equation :)
C = 2πr
Now, we can simply divide both sides by 2π here to isolate r (the radius) by itself, because that's what we want! (Something equal to the radius)
C / 2π = r
There's your answer! :)
Answer:
Infinite amount of solutions
Step-by-step explanation:
Step 1: Write equation
5(x + 2) = 5x + 10
Step 2: Solve for <em>x</em>
- Distribute 5x + 10 = 5x + 10
- Subtract 10 on both sides: 5x = 5x
- Divide both sides by 5: x = x
We see here that <em>x</em> is infinite amount of solutions. We can plug in any value <em>x</em> and it would render the equation true.
Answer:
100
Step-by-step explanation:
Given:
income or revenue = R
Cost of production = C
Income or revenue R = 90x
x number of computer boards
C = 80x + 1,000
Also,
For break-even number of boards
C = R
80x + 1,000 = 90x
or
10x = 1,000
or
x = 100
Hence,
For break-even the number of boards that must be produced are 100