PLEASE HELP ME !!
1 answer:
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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:
<em>She can fill 19 pots.</em>
Step-by-step explanation:
Yao Xin puts liters of potting soil in each pot.
Suppose, the number of pots Yao Xin can fill is
So, <u>the total amount of potting soil</u> in number of pots will be:
liters.
Given that, she has liters of potting soil. So, the equation will be........
So, she can fill pots.