Answer:
Step-by-step explanation:
You need to find the slopes of the line segments.
If the lines are perpendicular to each other, the product of their slopes is -1.
If the lines are parallel, they have the same slope.
Answer:
The first coordinate plane has a constant additive rate of change of -1/4
Step-by-step explanation:
Additive rate of change is determined using the slope formula:

It must be applied to all of the coordinates given, as sometimes, answer options will have the right slope for the first few options but then change it later in the list. Remember that this is a <em>constant</em> rate of change; it must be the same throughout all of the coordinates.
The first coordinate plane with (-2, 2) and (2, 1) is

so this is the answer. I encourage you to look below to see why the others are <em>not </em>the answer, as there are some tips throughout the rest of my response.
The second plane is a curved line, and this means that it is a function with some kind of exponent or log (judging by the shape, it is probably a quadratic function). Regardless, it will not have a constant change from point to point because of the curve. This is not the answer for those reasons.
The first table is linear (with a constant slope), so that meets the first requirement. The slope, however, is -1/2, so it is not what we are looking for. This is also not the solution.
The last table has a positive slope of 3.3, so this does not fit what we want from an answer.
Hope this helps :)
volume of a sphere = 4/3 *pi * r^3
3/4 * pi = 4/3 *pi * r^3
divide each side by pi
3/4 = 4/3 * r^3
multiply each side by 3/4
3/4 * 3/4 = r^3
9/16 = r^3
take the cube root of each side
r = (9/16) ^ (1/3)
Answer:
|a-c| meters
Step-by-step explanation:
If I am piloting an airplane to prepare for landing, I change the plane's altitude from a meters to c meters, then the expression that represents the distance between two altitudes is given by |a-c| meters, not by |a+c|.
For, example if the altitude of the plane changes from 1000 meters to 500 meters for preparing for landing then the distance between those two altitudes is |1000 - 500| = 500 meters. (Answer)
But using the expression |a+c|, I will get the wrong answer as |1000 + 500| = 1500 meters.
Answer:
10 water stations are needed
Step-by-step explanation:
To get the number of water- station needed, we simply divide the total length of the half marathon by the distance where we can find a water station
mathematically,
that would be 13.1 divided by 1 1/3
= 13.1 divided by 4/3
= 13.1 * 3/4 = 9.825 which is approximately 10