Answer: (b) exactly one plane contains a given line and a point not on the line.
Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-
(i) The intersection of two lines determines a point,
(ii) Two parallel lines give result to a plane,
(iii) A line and a point not on the line determines a plane, etc...
Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.
Hence, the correct option is (b).
Answer:



Step-by-step explanation:
Given




Required
The dimension that minimizes the cost
The volume is:

This gives:

Substitute 


Make H the subject


The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:

The cost is:



Substitute:
and 



To minimize the cost, we differentiate

Then set to 0


Rewrite as:

Divide both sides by W

Rewrite as:

Solve for 


Take cube roots

Recall that:







Hence, the dimension that minimizes the cost is:



Answer:
2√7
Step-by-step explanation:
Mathematically, the equation of a circle can be represented by;
(x-h)^2 + (y-k)^2 = r^2
where (h,k) = center and r = radius
Applying this to the question, we can see that the length of the radius of the circle is √7
The diameter is always twice the radius
Thus, the diameter KL = 2 * √7 = 2√7
Hello!
1950 m = 1.95
2.5 - 1.95 = 0.55
ANSWER: Justin rides his bike 0.55 km father than Luke.
I hope this helped you! c:
The probability of randomly selecting a red marble is 1/5. You get that by dividing 1/15 by 1/3