Answer:
4 is a coefficient
Step-by-step explanation:
4x - 10
x is the variable and 4 is the coefficient since it is next to the variable
-10 is the constant
4x is a term
4x-10 is a sum
Answer:
Yes! The equation, y = 12x + 28 , work.
Step-by-step explanation:
The line passes through points (-1, 16) and (5, 88)
The slope of the line = change in y ÷ change in x
i.e slope =
= 12
Taking another point (x ,y) on the line;
Slope is
= 12
y - 16 = 12x + 12
y = 12x + 12 + 16
y = 12x + 28
So the equation, y = 12x + 28, work!
Answer:
56 square units
Step-by-step explanation:
The formula for the area of a triangle of base b and height h is:
A = (1/2)(b)(h)
Here, that area is A = (1/2)(8)(14) = 56 square units
Answer:
2580 ft-lb
Step-by-step explanation:
Water leaks out of the bucket at a rate of
Work done required to pull the bucket to the top of the well is given by integral
Here, function
is the total weight of the bucket and water
feet above the bottom of the well. That is,
is the initial height and
is the maximum height of well. That is,
Find the work done as,


![&\left.=46x-0.05 x^{2}\right]_{0}^{60}](https://tex.z-dn.net/?f=%26%5Cleft.%3D46x-0.05%20x%5E%7B2%7D%5Cright%5D_%7B0%7D%5E%7B60%7D)


Hence, the work done required to pull the bucket to the top of the well is 