The Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.
<h3>What is the slope of line?</h3>
The slope of a line segment is a measure of the steepness of the line segment. It is the ratio of rise (the change in vertical height between the endpoints) over run (the change in horizontal length between the endpoints.
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line.
Midpoints of 1 line segment are -
= (2+0 / 2 , 4-2 / 2)
= (1,1)
Mid points of line 2 =
= (5+1 / 2, 1+5 / 2)
= (3,3)
slope -
The required slope = rise / run
= (y1-y2)/(x1-x2)
= (1-3)/(1-3)
= 1
Therefore, the Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.
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Answer:
The function which represents this sequence will be:
Hence, option (A) is true.
Step-by-step explanation:
Given the sequence
An arithmetic sequence has a constant difference 'd' and is defined by
computing the differences of all the adjacent terms
As the difference is the same, so
as
Thus, substituting , in the nth term of an arithmetic sequence
Therefore, the function which represents this sequence will be:
Hence, option (A) is true.
Answer:
The sampling method used is a stratified sampling method
Step-by-step explanation:
sampling is the selection of a predetermined representative subpopulation from a larger population, to estimate the characteristics of the whole population.
Stratified sampling: Here, the total population are divided into subcategories (strata) before sampling is done. The strata are formed based on some common characteristics. In our example, the times of the day (morning, afternoon and evening) has widely varying atmospheric conditions which will add biases to the measurement of air quality. For example, the air in the morning if compared to the afternoon in an industrial area may be purer because of minimal industrial activity, hence effective comparison will be made by stratification.
Answer: 4x^2
Step-by-step explanation:
I will get you started.
Car Problem:
10,750(0.059) = 634.25
Year 1:
10,750 - 634.25 = 10,115.75
The price of the car after year one at 0.059 is $10,115.75.
Continue the same pattern for the remaining 9 years.
Population Problem:
17, 724(0.02) = 354.48
For Year 1:
17,724 + 354.48 = 18,078.48
Continue the same pattern for the remaining 18 years. Use your calculator.
