Answer:
D. y = 4x - 6
Step-by-step explanation:
The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,
Therefore,
m₁ × m₂ = -1
Using the 2 coordinates of MN let's find the slope,
(-7, 6)(5, 3)
Therefore,
m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4
The equation that represent a line perpendicular to the line MN is
y = 4x - 6 because the slope slope(m₂) is 4.
From our formula,
4 × - 1 / 4 = - 1
So, option D meets the requirement.
65 feet squared.
8 times 10 is eighty, then you need to subtract 3 time 5 (which is 15), and that makes it 65 feet squared.
5682 divided by 4 is 1420 remainder 2 Hope that helped Have a good day! :-)
Answer:
width = 1.77845 ft
length = 7.1138 ft
height = 5.691 ft
total cost = $759.09
Step-by-step explanation:
volume = length x width x height
length = 4 width
base of the rectangle = 4 x 1 w = 4w²
72 (volume) = 4w²h
18 = w²h
f(c) = (2 x 4w² x $10) + (2 x wh x $5) + (2 x 4wh x $5)
f(c) = 80w² + 10wh + 40wh
f(c) = 80w² + 50wh
since we need only 1 variable (width), we have to substitute h:
h = 18/w²
f(c) = 80w² + 50w(18/w²) = 80w² + 900/w
f'(c) = 160w + 900/w²
0 = (160w³ + 900)/w²
0 = 160w³ + 900
0 = 20(8w³ + 45)
0 = 8w³ + 45
8w³ = -45
w³ = -45/8
w = ∛-45/8 = -1.77845 and 1.77845
since w cannot be negative, then it must be 1.77845
Answer:
3(5 + 7)
GCF is 3
Step-by-step explanation:
