Given :
A line 2x + 1 =0 .
To Find :
The slope of the given line .
Solution :
We know , slope of line is given by the tangent of the angle between the x-axis and the line .
Now, for line 2x + 1 =0 i.e
.
The line is perpendicular to x-axis and cuts the x-axis at
.
Therefore , the angle between the line and x-axis is
.
So , slope
i.e undefined .
Therefore , the slope of given line is not defined .
Hence , this is the required solution .
Answer:
Option D is correct
The approximate liquid volume of 5 of these bottles is, 15,000 milliliters.
Step-by-step explanation:
Given the statement: The liquid volume of Eric's water bottle is 3 liters.
Using conversion:
1 liters = 1000 milliliters
Convert 3 liters into milliliters;
using above conversion:
3 liters =
milliliters.
To find the volume of liquid in 5 of these bottles in milliliters:
Volume of liquid in 1 bottle is, 3000 milliliters.
then;
Volume of liquid in 5 bottles =
milliliters.
Therefore, approximate liquid volume of 5 of these bottles is, 15,000 milliliters
Answer:
The proportion is
=
, and the length of the unknown side is
or 27.22 approximately rounded to the nearest hundredth.
Step-by-step explanation:
Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is
. MK and KF are corresponding sides, and their proportion is
in which x represents the missing side. The proportions are equal, so
=
. Multiply both sides by 84 to isolate the variable, and you'll get
, which is
or
.
Answer:
979, 717
Step-by-step explanation:
Answer: 3/10
Step-by-step explanation:
Take the derivative of
to get
. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:

There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value