Answer:
x=6, x=-8
Step-by-step explanation: i used the symbolab calculator online to solve this.
By cutting each corner we have that the resulting dimensions are:
27 - 2x
18 - 2x
Height = x
Therefore, the volume of the box in terms of the variable x, is given by:
V (x) = (x) * (27-2x) * (18-2x)
Answer:
The volume of the box in terms of x is:
(27-x) (18-x) x
I'm going to assume you mean:
13 * (3/4) + x = 7 * (1/4)
Let's go ahead and simplify the right side.
7 * (1/4) = 1.75
So now we have:
13 * (3/4) + x = 1.75
Now let's take care of the right side. Multiplication before addition.
13 * (3/4) = 9.75
9.75 + x = 1.75
To isolate x, we subtract 9.75 from both sides.
9.75 - 9.75 + x = 1.75 - 9.75
x = -8
Hopefully I spaced this well. \('-')/
Answer:
The equation of line is shown below.
Step-by-step explanation:
The equation of line is

It is the point slope form of a line, therefore the slope of the line is
and the line passing through (4,-1).
Rewrite the above equation in slope intercept form.



The point slope form of a line is

Where m is the slope and b is y-intercept.
Therefore the slope of the line is
and the y-intercept of the line is
.
Slope is defined as

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.
The y-intercept is
.

Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.