Answer:
y = -5/4x + 6
Step-by-step explanation:
Since the line we are supposed to find is parallel to y = -5/4x - 5 that means they are going to have the same slope. The line we are looking for is of the following type: y = -5/4 x + b
Since it passes through the point (-8,4):
4 = -5/4 * (-8) + b <=>
4 = -2 + b <=>
4 + 2 = b <=>
b = 6
Hence the line is going to be: y = -5/4x + 6
Answer:
h = 2.4
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
271.4 = pi ( 6)^2 *h
271.4 = 36* pi* h
Letting 3.14 = pi
271.4 = 113.04 h
Divide each side by 113.04
271.4 /113.04 = 113.04h/113.04
2.424805379 = h
Rounding to the nearest tenth
2.4 = h
OR if we use the pi button
271.4 = 36 * pi *h
Divide each side by 36 pi
271.4/36pi = h
h=2.3997
Rounding to the nearest tenth
h =2.4
Answer:
840
Step-by-step explanation:
Given


Required
Determine the number of rankings
The term "ranking" as used in this question implies permutation and the required is calculated using:

Where


So:






<em>Hence, number of ranking is 840</em>
Answer:
m=10
Step-by-step explanation: