Step-by-step explanation:
a) gradient= y2-y1/x2-x1
gradient of AB:
gradient=-4-1/2-3
=-5/-1
=5
gradient of BC:
=-5+4/7-2
=-1/5
b) as the priduct of both gradient is -1 ,both lines are perpendicular.
c) as we have seen lines are perpendicular so it is a right angled triangle.
Answer:
-6
Step-by-step explanation:
3n = n² - 54
n² - 3n - 54 = 0
n² - 9n + 6n - 54 = 0
n(n - 9) + 6(n - 9) = 0
(n - 9)(n + 6) = 0
n = 9 , -6
Answer:
a. 8
b. 114
Step-by-step explanation:
a.
36/6 = 48/x
36x = 288
x = 8
b.
12/72 = 19/x
1/6 = 19/x
x = 114
Subtract tips from total:
87.05 - 50.25 = 36.80
Divide the remainder by 4.60:
36.80 / 4.60 = 8
She worked 8 hours.