Answer : 32
( angles of a triangle add up to 180)
Answer:
-14
Step-by-step explanation:
Multiply the is together. Multiply the j's together. Add the answer. The answer is a scalar.
(7 × -2) + (5 × 0)
= -14
<h2>
Answer:</h2>
A rate of change tells us how one quantity changes in relation to another quantity. In a mathematical language, we can write this as follows:
![Rate \ of \ Change=\frac{Change \ in \ y}{Change \ in \ x}](https://tex.z-dn.net/?f=Rate%20%5C%20of%20%5C%20Change%3D%5Cfrac%7BChange%20%5C%20in%20%5C%20y%7D%7BChange%20%5C%20in%20%5C%20x%7D)
For linear functions. the rate of change is the slope of the line. Thus:
FOR THE TABLE:
By taking two points we can get the rate of change, so let's take
:
![ROC=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ ROC=\frac{7-5}{2-1} \\ \\ ROC=\frac{2}{1} \\ \\ \boxed{ROC=2}](https://tex.z-dn.net/?f=ROC%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20%5C%5C%20%5C%5C%20ROC%3D%5Cfrac%7B7-5%7D%7B2-1%7D%20%5C%5C%20%5C%5C%20ROC%3D%5Cfrac%7B2%7D%7B1%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7BROC%3D2%7D)
FOR THE GRAPH:
Let's take
:
![ROC=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ ROC=\frac{4-1}{2-1} \\ \\ ROC=\frac{3}{1} \\ \\ \boxed{ROC=3}](https://tex.z-dn.net/?f=ROC%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20%5C%5C%20%5C%5C%20ROC%3D%5Cfrac%7B4-1%7D%7B2-1%7D%20%5C%5C%20%5C%5C%20ROC%3D%5Cfrac%7B3%7D%7B1%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7BROC%3D3%7D)
As you can see,
so <em>the ROC of the function given by the graph is greater than the ROC of the function given by the table.</em>