Answer:
Step-by-step explanation:
y = ½x-6
slope of line = ½
Slope of any perpendicular to the line = -2.
Equation for line of slope -2 that passes through (3,2):
y-2 = -2(x-3)
y = -2x + 8
Answer:
Work done in stretching the spring = 7.56 lb-ft.
Step-by-step explanation:
Normal length of the spring = 8 in or ft
= ft
If the spring has been stretched to 11 inch then the stretched length of the spring is = 11 in
= ft
Force applied to stretch the spring = 12 lb
By Hook's law,
F = kx [where k is the spring constant and x = length by which the spring is stretched]
12 = k()
k = 18
Work done (W) to stretch the spring by ft will be
W =
=
=
= 9()²
= 7.56 lb-ft
Answer:
192 mm^3
Step-by-step explanation:
v = a^2 * b/3
v = 8^2 * 9/3
v = 64 * 3
v = 192
Answer:
3 rooms
Step-by-step explanation:
2x = 5
x = 5/2
5/2 = 7.5/x
5x = 15
x = 3
Answer:
Number of guests = 10
Step-by-step explanation:
Given that:
Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables.
Let,
x be the number of guests.
A(x) = 15x + 100
B(x) = 20x + 50
For the cost to be equal;
A(x) = B(x)
15x + 100 = 20x + 50
100 - 50 = 20x - 15x
50 = 5x
Dividing both sides by 5
Hence,
Number of guests = 10