Which graph represents the solution of the system {x^2+y^2=4 X-y=1?
2 answers:
Answer:
See attached picture.
Step-by-step explanation:
Graph the line using a y-intercept -1 and slope 1.
Graph the equation with vertex (0,0) and radius 2.
Answer with explanation:
The two system of equation , one of which is a circle and another is line
x²+y²=4
x -y=1
has either no intersection point, that is the line and circle will not intersect.
Has one point of intersection, which will be tangent to the circle.
Third , the line will cut the circle at two points,that is there are two points of intersection of line and circle.
Plotting the graph of circle and line , found that line will cut circle at two distinct points.
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The graph of the function f(x) = -(x+1)^2 shows that the domain of the function f(x) = -(x+1)² is: -∞ < x < ∞. The range of the function is f(x) ≤ 0.
<h3>What is the graph of a function?</h3>The graph of a function is the arrangement of all ordered pairs of the function. Typically, they are expressed as points in a cartesian coordinate system. The graph of f is the collection of all ordered pairings (x, f(x)) such that x lies inside the domain of f.
The graph of a function might similarly be defined as the graph of the equation y = f(x). As a result, the graph of a function is a subset of the graph of an equation.
From the given information: the graph of the function f(x) = -(x+1)² can be determined if the domain, the range, and the vertex of the function are known.
- The domain of the function f(x) = -(x+1)² is: -∞ < x < ∞
- The range of the function is f(x) ≤ 0
- The x-intercepts and the y-intercepts are (-1,0) and (0, -1) respectively
- The vertex is maximum at (-1,0)
Since the parabola curve from the graph shows that the graph is facing down, then the function is negative and decreasing.
Learn more about the graph of a function here:
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Answer:
1.568, 3.432, 11.568, 13.432
Step-by-step explanation:
Divide equation by 6:
Then
Since
four smallest positive solutions are
1.
2.
3.
4.
