What is the slope of a line perpendicular to y = 2x + 3
2 answers:
Answer:
Step-by-step explanation:
Perpendicular slopes are <u>negative reciprocals. </u>
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First, let's find the slope of the line. The equation is:
y=2x+3
This line is in slope-intercept form: y=mx+b. m is the slope and b is the y-intercept. Therefore, 2 is the slope.
Now, find the perpendicular slope.
1. Negate the slope
The slope is 2. Negate the slope, or switch the sign. It becomes -2.
2. Find the reciprocal
To find the reciprocal, switch the numerator and denominator.
The slope -2 is equal to -2/1. Switch the top number and bottom number and the result is -1/2.
The perpendicular slope is -1/2
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I'm assuming you're referring to problem 6. You are asked to find the number of x intercepts or roots, which is another term for "zero". I prefer the term root or x intercept as "zero" seems misleading. Anyways, all we do is count the number of times the graph crosses the x axis. This happens 4 times as shown in the attached image below. I have marked these points in red. The graph can directly cross over the x axis, or it can touch the x axis and then bounce back. Either way, it is considered an x intercept.
<h3>Answer: there are 4 x intercepts (or 4 roots)</h3>
Answer:
The first step is sort the values on increasing order and we got:
18, 18, 19, 19, 19, 20, 22, 23. 25, 26, 31
And in order to find the first quartile we can separate the first 5 lowest values from the largest 5 values. And for this case we focus on these values:
18, 18, 19, 19, 19
And if we find the median of the last 5 values we can find the first quartile and we got:
The best answer would be:
19
Step-by-step explanation:
For this problem we have the following dataset:
18, 26, 19, 25, 19, 23, 31, 22, 19, 18, 20
The first step is sort the values on increasing order and we got:
18, 18, 19, 19, 19, 20, 22, 23. 25, 26, 31
And in order to find the first quartile we can separate the first 5 lowest values from the largest 5 values. And for this case we focus on these values:
18, 18, 19, 19, 19
And if we find the median of the last 5 values we can find the first quartile and we got:
The best answer would be:
19