A circle has a circumference of 150 meters. What is the measure of its radius? Round
2 answers:
You might be interested in
Answer:
The equation of the line is y = 2x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line,
- b is the y-intercept (value y at x = 0)
Let us take two points on the line to find its equation
∵ Points (3, 3) and (0, -3) lie on the line
∴ x1 = 3 and y1 = 3
∴ x2 = 0 and y2 = -3
→ Use the rule of the slope above to find m
∵
∴ m = 2
→ Substitute its value in the form of the equation above
∴ y = 2x + b
∵ b is the value of y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation above
∴ y = 2x + -3
→ Remember (+)(-) = (-)
∴ y = 2x - 3
∴ The equation of the line is y = 2x - 3
Answer:
There are 3,659,040 ways he can choose the books to put on the list.
Step-by-step explanation:
There are
12 novels
8 plays
12 nonfiction.
He wants to include
5 novels
4 plays
2 nonfiction
The order in which the novels, plays and nonfictions are chosen is not important. So we use the combinations formula to solve this problem.
is the number of different combinations of x objects from a set of n elements, given by the following formula.
How many ways can he choose the books to put on the list?
Novels:
5 from a set of 12. So
Plays:
4 from a set of 8. So
Nonfiction:
2 from a set of 12
Total:
Multiplication of novels, plays and nonfiction.
There are 3,659,040 ways he can choose the books to put on the list.