Answer:
13013
Step-by-step explanation:
Express each number in terms of the product of prime numbers.
91 = 7 × 13
143 = 11 × 13
169 = 13 × 13
Now consider the maximum number of times each factor occurs for each number.
The factor 7 occurs once
The factor 11 occurs once
The factor 13 is repeated twice ( maximum number of times for 1 number )
Thus LCM = 7 × 11 × 13 × 13 = 13013
When you put this into standard form for a parabola, your equation (after much sweating and bleeding from the eyeballs) found by completing the square is:
, which has a vertex at (-2.4, 7.6). To find the distance that the directrix is from the vertex (which is also the same distance the focus is from the vertex) we use the fact that
(you can omit the negative in front of it cuz distance will always be positive), and
. Since this is an upside down parabola, the focus is under the vertex ("inside" the parabola) while the directrix is above it. The directrix is a horizontal line. Because it is a horizontal line, it is 5/32 above the y-coordinate (or k) or the vertex. So we add 5/32 to the y-coordinate of the vertex to get 7.6+5/32 and that gives us a directrix of y = 7.76 rounded.
=
Look for groups of 2 (a group of two on the inside, makes one on the outside)
=
=
Answer: C
It would still be a rectangle
Answer:
C
Step-by-step explanation: