2. The Society of Health Organization claims that the annual cost of medical care for
1 answer:
You might be interested in
Answer:
See the graph attached. It has one solution: (6,-4)
Step-by-step explanation:
The slope-intercept form of a line is:
Where m is the slope and b is the intersection of the line with the y-axis.
Given the first equation
You can identify that:
b=-1
Substitute y=0 to find the intersection with the x-axis
This line passes through the points (0,-1) and (-2,0)
Given the second equation:
Solve for y:
It passes through the point (0,-4).
Now, you can graph. See the figure attached.
It has one solution,which is the point of intersection of both lines: (6,-4)
9514 1404 393
Answer:
m^2 = 35/9
Step-by-step explanation:
The line will be tangent to the ellipse where there is one point of intersection between the line and the ellipse. We can find that case by looking at the discriminant of the quadratic.
x^2 +9(mx +2)^2 = 1
x^2 +9(m^2x^2 +4mx +4) = 1
(9m^2 +1)x^2+36mx +35 = 0 . . . . subtract 1, collect terms
__
Then the discriminant is ...
(36m)^2 -4(9m^2 +1)(35)
We want it to be zero, so we have ...
1296m^2 -1260m^2 -140 = 0 . . . . eliminate parentheses
36m^2 = 140 . . . . . . . . . . . . . . . add 140
m^2 = 140/36 . . . . . . . . . . . . divide by 36
m^2 = 35/9
