Use the following data and graph the best-fit quadratic curve. What is a good approximation for the value of c?
1 answer:
Answer:
2) 3
Step-by-step explanation:
Graphing the best-fit quadratic curve for the data-set can be done using Ms. Excel Application.
The first basic step is to enter the data into any two adjacent columns of the excel workbook. Highlight the two columns where the values have been entered, click on the insert tab and then select the x,y scatter-plot feature. This will create an x,y scatter-plot for the data.
Next, click on the Add Chart Element feature and add a polynomial trend-line of order 2 which is basically a quadratic curve. Finally, check the display equation on chart box. This step will plot the quadratic curve as well as give the equation of the best-fit quadratic curve.
The attachment below shows the best-fit quadratic curve to the data-set and its corresponding equation.
A good approximation for the value of c from the equation is thus 3. This is simply the y-intercept of the curve. 3.21 is closer to 3.
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To be able to solve this question, we need to know about the Pythagorean theorem: a² + b² = c². A and b represents the two sides that make the right angle, and C represents the hypotenuse, or the longest side, of the triangle.
We know that the hypotenuse is the longest side of the triangle, so that means 9 is c. One side of the triangle is 6, and we have to solve for b. That means 6 is a. We can plug in our values to the formula like this:
Now that we have our equation down, we know what we have to do next: subtract 81 from 36 to get b².
Answer:
Step-by-step explanation:
We want to isolate the x.
Now, we want the x not to have a coefficient. We want it just to be x =. We will do this via inverse operations. Since 3 x is 3 multiplied by x, we will divide each side by 3.
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