Answer: the system has one solution which is x = 0, y = 5.
Explanation:
The pair of equations given constitute a system of two equations with two variables.
A system of linear equations may have a single solution, no solution (parallel lines) or infinite solutions (same line).
To find the solution or determine whether the system has one or infinite solutions, you may manipulate the equations.
This is the original systeym as given:
Multiply the first equation by 3 and the second equation by 2:
Subtract the first equation from the second:
Substitute x = 0 in any of the original equations to find y:
- 2y = 0 + 10
- 2y = 10
- y = 10 / 2
- y = 5
Hence, the system has one solution which is x = 0, y = 5.
Answer:
here's the answer to your question
Answer: All three of the altitudes lie entirely outside the triangle.
Step-by-step explanation:
The orthocenter is the center of the triangle formed by creating all the altitudes of each side.
The altitude of a triangle is formed by creating a line from each vertex that is perpendicular to the opposite side.
In acute traingle , the orthocenter lies inside it.
In right angled triangle, the orthocenter lies on the triangle.
In obtuse triangle , the orthocenter lies outside the triangle because all the three altitudes meet outside .
So, the best explains why the orthocenter of an obtuse triangle is outside the triangle : All three of the altitudes lie entirely outside the triangle.