Answer:
The endpoints of the latus rectum are
and
.
Step-by-step explanation:
A parabola with vertex at point
and whose axis of symmetry is parallel to the y-axis is defined by the following formula:
(1)
Where:
- Independent variable.
- Dependent variable.
- Distance from vertex to the focus.
,
- Coordinates of the vertex.
The coordinates of the focus are represented by:
(2)
The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that
,
and
, then the latus rectum is between the following endpoints:
By (2):


By (1):



There are two solutions:




Hence, the endpoints of the latus rectum are
and
.
Answer:
C) 29x=5
reason:
first, distribute the parentheses
this will make your equation 8-20x=6-3+9x
simplify to get 8-20x=3+9x
add 20x to both sides to get 8=3+29x
subtract 3 from both sides to get 5=29x
Answer:
91.
Step-by-step explanation:
The least number will be a multiple of 7 while the number - 1 will be a multiple of 2,3 and 5.
2*3*5 = 30 but 31 is not a multiple of 7.
2*2*3*5 = 60 but 61 is not divisible by 7.
2*3*3*5 = 90 and 91 is divisible by 7.
Step-by-step explanation:
If you would like to find the volume here:
L•W•H
Big Rectangular: 10•14•6
Small Rectangular: 1•2•3
Surface Area:
2(L•W) + 2(L•H) + 2(W•H)
Big Rectangular: 2(10•14) + 2(10•6) + 2(14•6)
Small Rectangular: 2(1•2) + 2(1•3) + 2(2•3)