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
Answer:
9 or 27
Step-by-step explanation:
4x = 36
x = 36/4
x = 9
The small number is 9 and the bigger number is 3 times 9 or 27.
No because 17.50x isn’t equal to 10
first one: 9 x 10^8th i thinkor just 90 million
second one: 7 billion. 7 x 10^9
Peking itis an until mengikutu dusty konferensi Klein’s itis an.