Answer:

Step-by-step explanation:

the line parallel to this line is
; k ∈ R
the line passes through the point (2,-1)
so,

∴the line that passes through point (2, -1) and is parallel to the line described y = (2/3)x - 6 is

9514 1404 393
Answer:
30.25π square inches
Step-by-step explanation:
You can use the formula for area in terms of circumference:
A = C²/(4π)
A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches
_____
You may be expected to find the radius first:
C = 2πr ⇒ r = C/(2π) = 11π/(2π) = 5.5 . . . inches
Then use the area formula:
A = πr² = π(5.5 in)² = 30.25π in²
They are same side interior angles and same side interior angles are supplementary (add up to 180 degrees).
So, 6x+12+4x+18=180
Combine like terms:
10x+30=180
Subtract 30 from both sides:
10x=150
Divide both sides by 10:
x=15.
Therefore, the angles are same-side interior angles and x=15.
Answer:
g(x) is f(x) translated downward by 7 units
Step-by-step explanation:
Adding a value to a function translates its graph upward by that value. Here, -7 is added, so the graph is translated downward by 7 units.
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This should be no mystery. When (x, y) is plotted on a graph, the y-coordinate specifies the vertical distance from the x-axis. Then (x, y-7) would specify a vertical distance that is 7 units less. That is, the point would be 7 units lower than the point (x, y) on the graph.
Answer:
6
Step-by-step explanation:
1. pie1, pie2, pie3
2. pie1, pie3, pie2
3. pie2, pie3, pie1
4. pie2, pie1, pie3
5. pie3, pie2, pie1
6. pie3, pie1, pie2