What is the midpoint of the segment shown below?
2 answers:
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<u>Let's solve this problem step by step</u>
<u /> | Given Equation
| Distributive Property of Multiplication over subtraction
| Subtraction Property of Equality
| Subtraction Property of Equality
| Division Property of Equality
<em>Definition of each property</em>:
- <u><em>Distributive Property of Multiplication over subtraction</em></u><em>: it says that the product of a number and the difference of two other numbers is equal to the difference between the products of the distributed number.</em>
- <u><em>Subtraction Property of Equality</em></u>:<em> if the same value is subtracted from two equal sides, the differences remain the same</em>
- <u><em>Division Property of Equality</em></u><em>: if the same value is divided from two equal sides, the equation remains the same</em>
<em />
Hope that helps!
Answer:
1)
2) 12 inches tall.
Step-by-step explanation:
1) The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
In this case:
(The height of the candle in inches)
(The time in hours)
Then, we can rewrite it:
Based on the information provided in the exercise, the line passes through these points:
and
Then, we can find the slope of the line with the formula :
Now we need to substitute the slope and one of the points into and then solve for "b":
Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:
2) We must substitute into the linear equation
in order to find the height of the candle after burning 8 hours: