Answer is A. It is the center of the circle that can be inscribed in a given triangle
Explanation
The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.
Answer:
(x, y) = (0, -2248)
Step-by-step explanation:
<u>Substitution</u>
Substitute for y:
300x -2248 = 350x -2248
0 = 50x . . . . . . . . add 2248-300x to both sides
x = 0
y = 300·0 -2248
The solution is (x, y) = (0, -2248).
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<u>Elimination</u>
Subtract the first equation from the second.
(y) -(y) = (350x -2248) -(300x -2248)
0 = 50x
x = 0
y = 300·0 -2248
The solution is (x, y) = (0, -2248).
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<em>Additional comment</em>
If you think for a bit about what the graph looks like, you realize both lines cross at their y-intercept, (0, -2248). That point of intersection is the solution to the system of equations.
Step-by-step explanation:
3/2 is 1½ so that means 1½ divided by 2 is <em><u>3/4</u></em>
Answer:
9/15 = 3/5 (simplified)
Step-by-step explanation:
In a right triangle, the cosine is the ratio of the adjacent side to the hypotenuse:

The adjacent side is the side that makes up the angle but is not the hypotenuse.
I'm assuming the answer box should ask for cos(theta) rather than cos(x).
SOH CAH TOA tells you
Cos(x) = Adjacent/Hypotenuse
so you can find
x = arccos(24/28)
x ≈ 31.0°