Mathematics, 27.09.2019 06:30 kathysanchezz26

What is the relationship among proportional relationships lines, rates of change, and slope?

Answers: 2

Show answers

Answers

It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)

Answer from: WritingStar1313

First of all, let's define some concepts. In mathematics, proportional relationships happen when two values always change by the same multiple. That is, when one doubles, the other doubles as well. So, you can always reduce a proportional relationship to the same equation as follows:

$y=kx \\ where \ k \ is \ the \ proportionality \ constant$

This constant is also the slope of the straight line.

On the other hand, the average rate of change between any two points $(x_{1},f(x_{1}) \ and \ (x_{2},f(x_{2})$ is the slope of the line through the two points. The line through the two points is called the secant line and its slope is denoted as $m_{sec}$ , so:

$ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} \\ \\ \therefore ARC=\frac{Change \ in \ y}{Change \ in \ x}=m_{sec}$

Finally, The slope of a nonvertical line is the number of units the line rises (or falls) vertically for each unit of horizontal change from left to right, so:

$Slope=\frac{change \ in \ y}{change \ in \ x}=\frac{rise}{run}$

So, we can say that the relationship of these three concepts is that they all talk about the slope of a curve.

Answer from: Quest

Hello! i hope this
since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.

Answer from: Quest

40 i don’t know lololol

** asap (20 points)what is the total surface area of the square pyramid

Another question on Mathematics

Mathematics, 21.06.2019 20:00

How do you write something in scientific notation?

Answers: 2

Answer

Mathematics, 21.06.2019 21:00

Kira looked through online census information to determine the overage number of people living in the homes in her city what is true about kira's data collection?

Answers: 1

Answer

Mathematics, 21.06.2019 21:40

The sum of the squares of two numbers is 8 . the product of the two numbers is 4. find the numbers.

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

What value is a discontinuity of x squared plus 8 x plus 4, all over x squared minus x minus 6?