Answer:
1). -4
2). -12
Step-by-step explanation:
Because algebra
The standard form:
The point-slope form:
m - slope
(x₁, y₁) - point
The formula of a slope:
We have the points (2, -3) and (4, 2). Substitute:
<em>use distributive property</em>
<em>multiply both sides by 2</em>
<em>subtract 6 from both sides</em>
<em>subtract 5x from both sides</em>
<em>change the signs</em>
The volume of the rectangular prism is equal to length times width times height. Since length and width are equal, the formula includes the squaring of the length. after substitution, the formula is 9^2 * 5 equal to 405 m^3.
So the answer is D. 405 cubic meters
Answer:4/3
Step-by-step explanation:
75-15-56=3b
4=3b
b=4/3
Option 4 is correct i.e. <span>The volume of the box is increasing at a rate of 192 cm^3/min.
</span>Given : Volume of the rectangular box = x²h
where x is edge and h is height.
The edge and the height are varying with time, therefore, we write,x = x(t)
h = h(t)
dh/dt = -3 and we shall calculate when x = 4, dx/dt = 2 and when h=15
V = x²h dV/dt = (2x × dx/dt × h) + (x² × dh/dt) dV/dt = 2×4×2×15 + (4)^2 ×(-3) dV/dt = 240 - 48
dV/dt = 192
Because dV/dt is positive, hence the volume is increasing
