Question: <span>If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n)?
Answer: Parabola
HOPE THIS HELPS! ^_^</span>
Answer:
See explanation, and ask for more details if unclear!
Step-by-step explanation:
The perfect square of this equation is
, since the square would be
. 1/4=4/16, meaning that you can set up the equation in the following way:


Take the square root of both sides:

Add 1/2 to both sides:
. Hope this helps!
Remark
The point value is (-2,5) So we know the two sides. We need the hypotenuse. We should notice that the x value is minus (-2) and value is y value is plus (5). That means we are in quad 2. Be careful how you read that. (-2,5) is a point. It is not a tangent.
Step One
Find the hypotenuse.
a = - 2
b = 5
c = ??
c^2 = a^2 + b^2
c^2 = (-2)^2 + 5^2
c^2 = 4 + 25
c^2 = 29 Take the square root of both sides.
sqrt(c^2) = sqrt(29)
c = sqrt(29)
Step Two
Find the Cosine of the angle.
Cosine(theta) = adjacent / hypotenuse
Cosine(theta) = -2 / sqrt(29) <<<<<<< Answer
Again, watch out for what you are given.
Complete question :
A 48 inch board in to be cut into three pieces so that the second piece is twice as long as the first, and the third piece in 3 times as long as the first. If x represents the length of the first, find the lengths of all three
Answer:
Length of first piece = x = 8
Length of second = 2x = 8*2 = 16
Length of third = 3x = 8 * 3 = 24
Step-by-step explanation:
Let :
Length of first piece = x
Length of second = 2x
Length of third = 3x
The total lengtb of board = 48 inches
Hence,
First + second + third = 48
x + 2x + 3x = 48
6x = 48
x = 48 / 6
x = 8
Length of first piece = x = 8
Length of second = 2x = 8*2 = 16
Length of third = 3x = 8 * 3 = 24