Let <span>the town courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
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Use the distance formula

to get the <span>distance between lawyer's home and office:
</span><span>
</span><span />


.
Answer: 25 miles.
Depends on the original point
Answer:
The correct answer is B
Step-by-step explanation:
First, the question said that the shoes were $15 less than double the price of his pants. In algebra 2p would mean 2 multiplied by p so we know that C and D are wrong. Now $15 less than 2p would mean you have to subtract by 15, so now we have 2p-15. Since we haven't added in the amount of money the pair of pants cost, we have to use addition to add it in, and that adds to the equation making the equation 2p - 15 + p. So, the answer is B.
Answer:
The required recursive formula is:

Step-by-step explanation:
We are given a geometric sequence as:
6,-18,54,-162,.....
Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.
Let
represents the nth term of the sequence.
This means that:

As the common ratio is -3.
so,

Hence, the required recursive formula for the geometric sequence is:

Based on the box plots, the statement which is correct is that: A. The median score of Class A is greater than the median score of Class B.
<h3>What is a box and whisker plot?</h3>
In Mathematics, a box plot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Additionally, the five-number summary of any box plot (box and whisker plot) include the following:
- Minimum
- First quartile
- Median
- Third quartile
- Maximum
By critically observing the box plot (box and whisker plot) which represent the math scores of students in in two different classes, we can reasonably and logically deduce the following median scores;
Median score of class A = 80
Median score of class B = 75
Therefore, a median score of 80 in Class A is greater than the median score of 75 in Class B.
Read more on box plots here: brainly.com/question/14277132
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