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2 answers:
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Answer:
Step-by-step explanation:
<u>Linear Modeling</u>
It consist is setting up a linear relationship between two variables, given some experimental data. Only 2 points are needed to set up the equation of a line, but if more than 2 points are used, then the result should use statistical approaches like linear regression to find the best-fit line.
For the question at hand, Marty practices his piano lessons 11 minutes the week #1. It provides the first point (1,11). He practices 25 minutes per day on the third week. It gives us another point (3,25). This is enough to find the equation of a line. The general formula for a line, having two points (m1,w1) (m2,w2) is
Let's plug in our values
Simplifying:
Given:
Length of the painting = 12 inches
Width of the painting = 10 inches
To find:
The area of the rectangular painting by using Distributive Property to decompose the factor 12.
Solution:
The area of a rectangle is
So, the area of the rectangular paining is
Using Distributive Property to decompose the factor 12, we get
Therefore, the area of the rectangular painting is 120 square inches.