Step-by-step explanation:
In the equation y=5x, what is the value of M?
1 answer:
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A. is the secant line on the below circle.
<u>Step-by-step explanation:</u>
The intersection of the circle will result in either Tangent or Secant. Secant is a line intersecting a circle at two different point. This concept explains the relation between the circle and line intersecting it.
From the given diagram,
The and
intersects the circle at the point H and I.
∴ It can also represented that the and
intersects at a point G.
From the given options is the secant line that intersects the circle twice.
The graph shows solutions to be ...
(x, f(x)) = (x, g(x)) = (-2, 5), (2, -3)
_____
Analytically, it works well to find
g(x) -f(x) = 0
(x^2 -2x -3) -(-2x +1) = 0
x^2 -4 = 0
x^2 = 4
x = ±√4 = ±2
Then
f(-2) = -2(-2) +1 = 5
f(2) = -2(2) +1 = -3
(x, f(x)) = (x, g(x)) = (-2, 5), (2, -3)
_____
Analytically, it works well to find
g(x) -f(x) = 0
(x^2 -2x -3) -(-2x +1) = 0
x^2 -4 = 0
x^2 = 4
x = ±√4 = ±2
Then
f(-2) = -2(-2) +1 = 5
f(2) = -2(2) +1 = -3