Parallel lines have the same slope! The slope measures how steep the line is, and parallel lines are equally steep.
It follows quite immediately that line 2 has also slope -1/2.
.1515/1 1.515/10 15.15/100 151.5/1000 1515/10000
multiply the numerator and the denominator by 10
your answer is 1515/10000
simplified is 303/2000
What’s the z value of this equation?
Answer:
32 cubic feet
Step-by-step explanation:
To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.
In this case we have a rectangular hole that has an area of 8 square feet.
As we said before:
Volume = Area x height.
If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:
Volume = 8 x 4 = 32 cubic feet.
Thus, the volume of John's hole is 32 cubic feet.
<h3>
Answer: f(x) = (-1/2)x+1, choice B</h3>
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Explanation:
The diagonal line passes through 1 on the vertical y axis. So the y intercept is b = 1. This means the location of the y intercept is (0,1).
Start at (0,1) and move down 1 and to the right 2 to arrive at (2,0). This is another point on the diagonal line. The motion of "down 1 and right 2" is effectively the slope
slope = rise/run = -1/2
rise = -1, run = 2
The rise being negative means we have gone downhill as we move to the right.
With m = -1/2 as the slope and b = 1 as the y intercept, we go from y = mx+b to y = (-1/2)x+1
The last thing to do is replace y with f(x) to get f(x) = (-1/2)x+1 as the final answer.
