Answer:
B
Step-by-step explanation:

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:
0.21 square meter
Step-by-step explanation:
Area of the section of wall = 1 square meter
Dimension of part of mural completed =
meter by
meter
Part of the mural completed = Area of the rectangular part of mural completed
But,
Area of a rectangle = length x width
So that,
Part of the mural completed = length x width
=
x 
= 
= 0.2083
Part of the mural completed = 0.21 square meter
The part of the mural that has been completed by Beverly is 0.21 square meter.
Answer:
The Distance cover by boat in 2 hours and 15 minutes is 72 km
Step-by-step explanation:
Given as :
The Distance cover by boat = 128 kilometer
The time taken is 4 hours
As , Distance = Speed ×Time
So , Speed = 
Or, Speed = 
∴ Speed = 32 km per hour
Now, again The boat travel 2 hours and 15 minutes further with speed 32 kmph
So, Time2 = 2 +
Or, Time2 = 2 +
I.e Time2 =
hours
Again , Distance = Speed ×Time
So , Distance = 32kmph ×
hours
I.e Distance =
= 72 kilometer
Hence The Distance cover by boat in 2 hours and 15 minutes is 72 km Answer
The answer would be 43.7 because 430 divided by 10 is 43 and the extra 7 would be .7