For this function, the average rate of change __ as x increases.

2 answers:

3 0

Decreases. For example, it’s delta y over delta x, so if the rate of change is originally 1/2 and you increase the x to 1/3, the roc decreases.

RSB [31]3 years ago

3 0

Answer:

increases

Step-by-step explanation:

edg 2020

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What is the median of 32, 28, 20, 33, and 22

Svetlanka [38]

Answer:28

Step-by-step explanation:

Re-arrange either ascending or descending order

20,22,28,32,33

The middle one is 28

Let's Re-arrange in descending

33,32,28,22,20

Same thing as the first step 28

6 0

3 years ago

Read 2 more answers

Can someone help me please

aleksklad [387]

9514 1404 393

Answer:

IS a parallelogram

Step-by-step explanation:

The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...

m = (y2 -y1)/(x2 -x1)

The distance formula for the length of that same line is ...

d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.

The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)

_____

Additional comments

There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:

B +D = (-2+6, -9-3) = (4, -12)

C +E = (0+4, -5-7) = (4, -12)

These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.

If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)