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
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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
Answer:
3/5
Step-by-step explanation:
sin is opposite over hypotenuse
find hypotenuse first -> Hypotenuse = 100 m
(notice that it is a 3-4-5 triangle)
60/100 = 6/10 = 3/5
Answer:
if you are solving for x then the answer is 5
Step-by-step explanation:
I think that the answer is B. I tried to read more about the question to understand it more but got nothing out of it.
Step-by-step explanation:
you plug 0 into the (x,y) into the equation. if your finding x you plug in 0 for y and versa.
so y = 9x -3 im going to find x
0 = 9x -3 subtract -3 from both sides
-3 = 9x divide by 9
x = -3