Answer:
the average is 168
Step-by-step explanation:
Answer:
B. y = 1/3x
Step-by-step explanation:
The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.
We can find the y-intercept (b) if we use the given point values in the equation ...
y = 1/3x +b
we get ...
-2 = (1/3)(-6) +b
-2 = -2 +b . . . simplify
0 = b . . . . . . . add 2
So, the equation of the perpendicular line through the given point is ...
y = 1/3x . . . . matches choice B
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<em>Alternate solution method</em>
You can try the given point in the given equations. You will find that only the equation of choice B will work.
Circumference formula tells you

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The formula to find the area of a circle is

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Answer:
True: 1, 4, 5
Step-by-step explanation:
Main notations:
A plane is a flat 2D surface with no thickness that extends infinitely far. (Option 1 is true)
A point is an exact location. It has no size, no width, no length, no depth, only position. (Option 2 is false)
Collinear points are two or more points that lie on the same line and have different location. (Option 3 is false)
A line is straight (no bends), has no thickness, and extends in both directions without end (infinitely). (Option 4 is true)
The distance between two points is the length of a line segment that connects them. (Option 5 is true)
Answer:
12 hours
Step-by-step explanation:
We can set up an equation to model the situation:
y = 9x + 50
Now, we can plug in 158 as y and then solve for x:
158 = 9x + 50
108 = 9x
12 = x