- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept.
If two lines are perpendicular, then they will have slopes that are <u>negative reciprocals</u> to each other. An example of negative reciprocals are 2 and -1/2
<h2>6.</h2>
Now with line 2, I have to convert it to slope intercept form. Firstly, subtract 2x on both sides of the equation: 
Next, divide both sides by -5 and your slope-intercept form is 
Now since 2/5 is <em>not</em> the negative reciprocal of -2/5, <u>these lines are not perpendicular.</u>
<h2>7.</h2>
It's pretty much the same process; convert to slope-intercept and determine if negative reciprocal. This time I'll brush through them:
Now since 2 <em>is</em> the negative reciprocal of -1/2, <u>these lines are perpendicular.</u>
This question is really hard
Answer:
D. naturalistic observation
Step-by-step explanation:
Naturalistic observation is a method of research that consists in observing subjects in their natural environment without any exterior interferences that could alter their behavior. By posing as a student, Dr. Jimand is inserting himself among the other students to observe their natural behavior. For instance, if they were told that there was a doctor observing them, the students' behavior could change and that wouldn't be a true naturalistic observation.
Answer as a fraction = 2/3
Answer in decimal form = 0.667 (approximate)
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Explanation:
The first thing we need is to find the mean. Add up the values to get 3+3+4+5+5+4 = 24. Then divide by n = 6 since there are 6 values.
24/n = 24/6 = 4
The mean is 4
Now subtract the mean from each value
- 3-4 = -1
- 3-4 = -1
- 4-4 = 0
- 5-4 = 1
- 5-4 = 1
- 4-4 = 0
Apply absolute value to each result so that the difference is not negative.
We get this new list: {1, 1, 0, 1, 1, 0}
Now compute the mean of that new list to get the final answer
1+1+0+1+1+0 = 4
4/n = 4/6 = 2/3 = 0.667 approximately
