Answer:
see below
Step-by-step explanation:
1. 0 = (r + 1)(r + 8)
Using Zero Product Property, r = -1, r = -8
2. h(r) = (r + 1)(r + 8)
= r² + 9r + 8
= (r + 9/2)² - 81/4 + 8
= (r + 4.5)² - 12.25 (Complete the square)
Vertex: (-4.5, -12.25)
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:
1,2,4,5,10
1,2,3,5,6
60
Step-by-step explanation:
Answer:
2 quarters and 5 dimes
Step-by-step explanation:
Answer: =-1/2x+-1/2y
Step-by-step explanation:
