Given a≠±b and a^2−b^2 / a+b =12, find a−b. pls hlep
1 answer:
You might be interested in
Answer:
The length is no more than 56 inches.
The volume of the box is 8064 cubic inches.
Step-by-step explanation:
Given : A postal service requires that any box sent by priority mail have length plus girth (distance around) totaling no more than 104 in. One volume that meets this condition is contained by a box with a square end 12 in. on each side.
To find : What is the length of the box? What is the volume?
Solution :
A square end 12 inch on each side.
Then the girth of the box is given by,
The girth of the box is 48 inches.
A postal service requires that any box sent by priority mail have length plus girth (distance around) totaling no more than 104 in.
So,
The length is no more than 56 inches.
The maximum volume of such a box would be,
B = area of the base (or end) of the box,
So,
The volume is
Therefore, The volume of the box is 8064 cubic inches.
Answer:
Step-by-step explanation:
Let's assume this is a straight line, so we can use the basic form of a straight line equation: y=mx+b, where m is the slope and b is the y-intercept (the value of y when x is zero).
The slope is the rate of change of the line, and can be calculated by dividing the change in y by the change in x between any two points. Here: (0,4) and (1,2)
The change in y is known as the "Rise." Going from (0,4) to (1,2), we have a change of -2:
(2 - 4) = -2 This is the Rise (Final minus the initial values)
X changes by 1 (1-0) = 1 (Final minus the initial values)
Rise/Run = -2/1 or -2
The slope, m, is -2. Values of y decrease as x increases.
The equation becomes y = -2x+b
The value of b must be such it forces the line to go between the two points. We can calculate b by i=using one of the two points in out unfinished equation and solve for b. I'll pick (1,2).
y = -2x+b
2 = -2*(1) + b
b = 4
The equation becomes y=-2x+4
