Slope = (7 + 2)/(-18 + 4) = 9/-14= - 9/14
the first two professors did not know if everyone wanted coffee because the third professor had to choose yes or no if he wanted coffee. the first two professors were waiting for the third to say something, and when he said no, they knew he did not want coffee. if one of the first two professors said no, the answer would be no.
-6 = r cos α and -8 = r sin α
r = sqrt( 6^2 + 8^2) = sqrt 100 = 10
α = arctan ( -8/-6) = arctan (4/3) = 53.13 degrees
polar firm = r ( cos α + i sin α)
= 10(cos 53.18 + i sin 53.18)
its been a long time but ui think thats correct
-12x^5 y^3sorry if I’m wrong
Answer:
The correct option is;
(C) 28
Step-by-step explanation:
The information given are that;
The total number of students = 1000
The number of students in each row are consecutive positive numbers
Let the number of students in the first row be x,
Let the number of rows be 17
We have;
The number of students in the last row = x + 16
The number of students in the penultimate row = x + 15, we continue to get;
n×x + n/2×(n-1) = 1000
(The term n/2×(n-1) is from the sum of an arithmetic progression formula)
Which gives;
17×x + 17/2×16 = 1000
17×x = 1000 - 17/2×16 = 1000 - 136 = 864
x = 864/17 = Which is not an integer,
We continue checking till we get to 25 rows which gives;
25×x + 25/2×24 = 1000
25×x + 300 = 1000
25×x = 1000 - 300 = 700
x = 700/25 = 28
The number of student in the first row = 28 students.
