Answer:
Fractions are equivalent if their simplest forms are the same. So, to make equivalent fractions, all you have to do is multiply the top number (the numerator) and the bottom number (the denominator) by the same number—and it can be any number, as long as you use the same one for both the top and bottom.
Step-by-step explanation:
Fractions are equivalent if their simplest forms are the same. So, to make equivalent fractions, all you have to do is multiply the top number (the numerator) and the bottom number (the denominator) by the same number—and it can be any number, as long as you use the same one for both the top and bottom.
The value of x equals 30.
Step by Step explanation:
All sides are equal so you know the angle lengths are equal. When you multiple 2x by 3 you get 6x. All angles of a triangle add up to 180 so you divide 180 by 6 and you get 30. Hope This Helps!
1,2,3,,4,6,8,12,24 are the factors of 24
The <em><u>correct answer</u></em> is:
A line of reflection would need to be drawn as a line that bisects a vertex angle of the pentagon.
Explanation:
A line that bisects a vertex angle of a pentagon will be a line of symmetry within the pentagon. The pentagon can be "folded" through this line into two equal halves.
This imaginary line represents the center of the pentagon. A reflection through this line will carry the pentagon onto itself. This is due to the definition of line symmetry:
"A set of points has line symmetry if and only if there is a line, l, such that the reflection through l of each point in the set is also a point in the set."
Additionally, for any regular polygon, the number of lines of symmetry equals the number of sides.
This means that this line can be through any vertex angle of the polygon.
Refer to the diagram shown below.
The distance, d, from the focus to a point P (x,y) is equal to the distance from the directrix to P.
Therefore
d² = (6 - y)²
= (x + 2)² + y²
That is,
36 - 12y + y² = (x + 2)² + y²
12y = -(x + 2)² + 36
The equation of the parabola is
y = -(1/12)(x + 2)² + 3
It may be written as
-12(y - 3) = (x + 2)²
The leading coefficient -1/12 is negative, therefore the curve opens downward.
Answer:
The equation is (x + 2)² = -12(y - 3).
The curve opens downward.
