<span>When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.</span>
V = ( 9*2 ) / 3 ;
v = 18 / 3 ;
v = 6 ;
a. is the right answer;
( 119.5 / 151 ) * 100 = 11950 / 151 = 79.1 ;
The percent is 79.1%;
c. is the right answer;
1 - (40/100)*1 = 1 - 2 / 5 = 3 / 5 = 0.60 ;
d. is the right answer.
<h3>
Answer: 297 square cm</h3>
=============================================
Work Shown:
Break up the figure as shown in the diagram below.
A rectangle and trapezoid form
-------------
Area of rectangle = base*height = 9*15 = 135 cm^2
Area of trapezoid = (1/2)*(b1+b2)*h = (1/2)*(18+9)*12 = 162 cm^2
total area = (area of rectangle)+(area of trapezoid)
total area = (135) + (162)
total area = 297 square cm
Answer:
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
Select a few
x
x values, and plug them into the equation to find the corresponding
y
y values. The
x
x values should be selected around the vertex.x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
image of graph
