<u>2/3 i</u><u>s the</u><u> slope </u><u>of a line that is perpendicular to the line whose equation is 3x 2y=6.</u>
What is slope?
- Slope, Numerical measure of a line's inclination relative to the horizontal.
- In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).
we can find the slope from the equation that is given buy solving the equation for y
3x+2y = 6
2y = 6-3x
y = 3-3/2x
y = -3/2x+3
now that the equation is in slope-intercept form, we can easily see that the slope of the given line is -3/2
perpendicular lines have slopes that are negative reciprocals, so we can just take the negative reciprocal of the slope we have
-3/2 → 3/2 → 2/3
Therefore, the slope of the perpendicular line is 2/3.
Learn more about slope
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You got the first part right but you need the end so 4*3*1= 12 feet to turn feet into inch you times by 12 so 12*12=144 inc+99=243 cubic inc i think
F
(
x
)
=
x
2
−
2
x
−
15
f
(
x
)
=
x
2
-
2
x
-
15
Find the properties of the given parabola.
Tap for more steps...
Direction: Opens Up
Vertex:
(
1
,
−
16
)
(
1
,
-
16
)
Focus:
(
1
,
−
63
4
)
(
1
,
-
63
4
)
Axis of Symmetry:
x
=
1
x
=
1
Directrix:
y
=
−
65
4
y
=
-
65
4
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.
Tap for more steps...
x
y
−
1
−
12
0
−
15
1
−
16
2
−
15
3
−
12
x y -1 -12 0 -15 1 -16 2 -15 3 -12
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
1
,
−
16
)
(
1
,
-
16
)
Focus:
(
1
,
−
63
4
)
(
1
,
-
63
4
)
Axis of Symmetry:
x
=
1
x
=
1
Directrix:
y
=
−
65
4
y
=
-
65
4
x
y
−
1
−
12
0
−
15
1
−
16
2
−
15
3
−
12
x y -1 -12 0 -15 1 -16 2 -15 3 -12
image of graph
Answer: 125 ft cubed
Step-by-step explanation:
Answer:
$27 000
Step-by-step explanation:
15 000*30*6÷100
=$27 000