Hey there!
The answer is C
If you plug them all in for "y", that is the only one that works.
(There is a way to solve it, though, but it's timed so I figured I wouldn't take hours to explain, comment if you want me to explain it to you, though)
Have a good day :)
Answer:
i hink c or a
Step-by-step explanation:
Properties
A line segment is a connected, non-empty set.
If V is a topological vector space, then a closed line segment is a closed set in V. However, an open line segment is an...
More generally than above, the concept of a line segment can be defined in an ordered geometry.
A pair of line segments can be any one of the following: intersecting, parallel, skew, or none of...
I guess you are asking what is the shape of the cross section.
It will be an ellipse.
Here we're presented with a quadratic equation which needs to be expanded and then rewritten in descending powers of x:
1x^2 + m^2x^2 + 6mx + 9 - 3 = 0.
Let's group like terms: 1x^2 + m^2x^2 + 6mx + 6 = 0.
The first 2 terms can be rewritten as a single term: (1+m^2)x^2, and so we now have:
(1+m^2)x^2 + 6mx + 6 = 0.
We must now calculate the discriminant and set the resulting expression = to 0, as a preliminary to finding the value of m for which the given quadratic has equal roots:
discriminant: (6m)^2 - 4(1+m^2)(6) = 0
Then 36m^2 - 24(1+m^2) = 0, which simplifies to 12m^2 - 24 = 0.
Then 12 m^2 = 24; m^2 = 2, and m = √2.
When the discriminant is zero, as it is here when m = √2, then the given quadratic has two equal roots.
Answer:
Check below
Step-by-step explanation:
1) Check the rectangle below with a line k, the axis of rotation in the center of the figure.
2) Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.
3) Let's calculate its radius, based on the information given, i.e. the perimeter:
Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 5.