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
9514 1404 393
Answer:
x = 16
Step-by-step explanation:
The angle bisector divides the sides proportionally.
(x -4)/9 = x/12
4(x -4) = 3x . . . . . . . multiply by 36
x = 16 . . . . . . . . . . . . add 16-3x to both sides, simplify
Answer:
A. Congruent angles have the same measure.
Step-by-step explanation:
In geometry, 2 objects are congruent if they have the same shape. As such, congruent angles are formed from such shapes. Irrespective of the unit of measurement (in degrees or radians), congruent angles are equal.
This is independent of the direction of the angles.
Hence the right option is
A. Congruent angles have the same measure.
Cos28=11/x
x=11/cos28
it will be c
Answer:
45 lbs of 90 cent candies and 5 lbs of 40 cent candies
Step-by-step explanation:
