Answer:
The correct answer is 48, given by option c.
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
Positive correlation means that the variables are directly proportional, and thus, we apply cross multiplication.
If v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?
24 - 10
x - 20
Applying cross multiplication:
Simplifying both sides by 10:
The correct answer is 48, given by option c.
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
