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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Answer:
Option d is correct.
Equation : P=7n+20.
Explanation;
Given the perimeter of each figure is;
Perimeter of triangle is equal to the sum of all the sides of a triangle.
Perimeter of 1 triangle is 21
Perimeter of 2 triangle is 34 and
Perimeter of 3 triangle is 41
Let n be the number of figure and P be the perimeter of the figure;
the only equation which satisfy the given perimeter is;
Check:
for n =1 which means 1 triangle then;
for n = 2 , [ i.e 2 triangle]
and for n =3 [i.e, 3 triangles]
Therefore, the equation P =7n+20 relates the number of triangles in the figure(n) to the perimeter of the figure(P).