Answer:
B
Step-by-step explanation:
Becky travels 0.5 miles per hour faster than Emma.
Emma's speed is 7.5 miles per hour. The slope of y = 8x, which is 8, is Becky's speed.
8 − 7.5 = 0.5 miles per hour faster
Answer: increasing
Step-by-step explanation: The slope of the graph is positive.
Answer:
<u>The student's final score is 77.2 and he earned a C letter grade</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the math problem correctly:
Midterm = 5% of the final grade and score of 60
Class project = 10% of the final grade and score of 92
Set of homework = 35% of the final grade and score of 80
Final exam = 50% of the final grade and score of 74
2. What is the student's final score?
Final score = (60 * 0.05) + (92 * 0.1) + (80 * 0.35) + (74 * 0.5)
Final score = 3 + 9.2 + 28 + 37
Final score = 77.2 and letter grade of C
<span>If three sides are proportional their angles must be identical therefore they are always similar.</span>
The line y = mx + c has a slope of m.
Parallel line:
A parallel line will also have a slope of m, and should be of the form
y = mx + k
Because the line passes through the point (a,b), therefore
ma + k = b
k = b - ma
The equation of a parallel line is
y = mx + b - ma
= m(x-a) + b
Perpendicular line:
A perpendicular line will have a slope of -1/m, because the product of slopes should be -1.
The equation for a perpendicular line is of the form
y = -(1/m)x + k
Because the line passes through (a,b), therefore
-(1/m)a + k = b
k = b + a/m
The equation for a perpendicular line is
y = -(x/m) + b + a/m
= -(1/m)(x-a) + b
Answer:
Parallel line:

Perpendicular line: