Answer:
The one on the bottom left.
Step-by-step explanation:
To find out which one is a function, we would use the vertical line test. First you create a vertical line with your finger, pencil, or another object. If there are two dots that pass a vertical line, it would not be a function. Only one dot can cross the vertical line for it to be a function.
The parallel postulate: In a plane there can be drawn through any point A, lying outside of a straight line a, one and only one straight line which does not intersect the line a. This straight line is called the parallel to a through the given point A.
Therefore, first statement is always true.
Coplanar lines are lines that lie on the same plane.
Theorem: If two coplanar lines are perpendicular to the same line, then the two lines are parallel to each other.
Therefore, second statement is always true.
Answer:
1st question: always
2nd question: always
Step-by-step explanation:
1st question
Given a line and a point which is not on that line, there is only one new line parallel to the old line which pass through the point. That is, there are infinity new lines parallel to the old line, but only one of them pass through the given point.
2nd question
If two coplanar lines are parallel and intercept a third line, then the same angle is formed in the interception between each parallel line and the third line. In this case a 90° angle is formed and each parallel line is perpendicular with the third line.
f(x) = 3x-5 if x≤−1
-2x+3 if −1 2 if x≥4
Answer:
Step-by-step explanation:
To graph a piecewise function, we need to graph each piece separately and then put the pieces together.
The first piece of the function is f(x) = 3x-5 if x ≤ -1. This is a linear function with a slope of 3 and a y-intercept of -5. To graph this piece, we can plot two points on the line and then connect them.
For example, we can plot the points (-1, -2) and (-2, -11). Once we have plotted the points, we can connect them with a straight line.
The second piece of the function is f(x) = -2x+3 if -1 < x ≤ 2. This is also a linear function with a slope of -2 and a y-intercept of 3. To graph this piece, we can plot two points on the line and then connect them.For example, we can plot the points (0, 3) and (1, 1). Once we have plotted the points, we can connect them with a straight line.
The third piece of the function is f(x) = 2 if x > 2. This is a constant function, so it will be a horizontal line at y = 2.Once we have graphed each piece of the function, we can put the pieces together to get the graph of the entire function.
I hope this helps!
Answer:
87
Step-by-step explanation:
hopes this helps
Answer:
2160 eggs on Monday
Step-by-step explanation:
Jim keeps 12 hens in every coop but Jim has 20 coops
12x20=240 hens
Every hen lays 9 eggs = 12x9= 108 eggs for 1 coop
108x20 = 2160 for 20 coops on Monday
Answer:
81- eighty one
54- fifty four