Step-by-step explanation:
The slope of a line connecting two points is:
m = (y₂ − y₁) / (x₂ − x₁)
The slope of line 1 is:
m = (4 − 0) / (7 − 1)
m = 2/3
The slope of line 2 is:
m = (6 − 0) / (3 − 7)
m = -3/2
Parallel lines have equal slopes.
Perpendicular lines have opposite inverse slopes.
2/3 and -3/2 are opposite inverses, so the lines are perpendicular.
Answer:
V=πr2h
3=π·32·7
3≈65.97345
V≈65.97
Step-by-step explanation:
Answer:
Q = 132
P = 48
Step-by-step explanation:
Angles R + S = 180, which means
(5x + 3) + (14x + 6) = 180
19x + 9 = 180
19x = 171
x = 9
so
R = 5x + 3 = 5(9) + 3 = 48
S = 14x + 6 = 14(9) + 6 = 132
Q = 180 - R = 180 - 48 = 132
P = 180 - Q = 180 - 132 = 48
Answer:
Step-by-step explanation:
3.9
-5x(-7x^3)
Because -7x^3 is in parentheses, you add the degrees together:
35x^4
