Answer: The answer is x = 19.
Step-by-step explanation: Given that a flower pot has a base with six equal sides of measurement (x - 6) units. We are to find the value of the unknown quantity 'x' if the perimeter of the base is 78 units.
We know that the perimeter of a polygon is given by the sum of the lengths of all the sides of the polygon.
Since each side of the six-sided base is (x - 6) units, so its perimeter will be

According to the question, we have

Thus, the value of 'x' is 19 units.
Given data:
The given cube .
The expression for the volume of the sphere is,

Thus, the volume of the sphere is 261 cubic-m.
Answer:
Total charge
=
$
4.25
+
$
1.50
(
m
−
1
)
Total charge for 12 miles
=
$
20.75
Explanation:
Building the rule
The trick with algebra is to think what you would do with numbers, then substitute letters.
Mile number 1 costs
$
4.25
The rest of the miles
⇒
(
total miles
−
1
)
×
$
1.50
Putting this all together we have:
$
4.25
+
(
total miles
−
1
)
×
$
1.50
The question instructs that we are to use the letter m for the total miles so we now have:
$
4.25
+
(
m
−
1
)
×
$
1.50
This would be written as:
$
4.25
+
$
1.50
(
m
−
1
)
So
Total charge
=
$
4.25
+
$
1.50
(
m
−
1
)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Determine the charge for 12 miles
Total charge
=
$
4.25
+
$
1.50
(
12
−
1
)
Total charge
=
$
4.25
+
$
1.50
(
11
)
Total charge for 12 miles
=
$
4.25
+
$
16.50
=
$
20.75
Hope this helps you...
:)
Answer: 10
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-3-5)^2+ (-5-1)^2 d = √(-8)^2 + (-6)^2 d = √64+36 d = √100 d = 10
The production cost is an illustration of a quadratic function
<h3>How to determine the equation</h3>
We have the following parameters:
- Computing components (a)
- Number of devices (x),
- Labor (b)
- Savings on reusable material (c)
Using the instructions in the question, the equation of the production cost would be:

Hence, the production cost is 
<h3>Change the subject of the equation</h3>
In (a), we have:

Subtract bx - c from both sides

Divide through by x^2

Hence, the equation that represents the computing component is 
Read more about equations and functions at:
brainly.com/question/1214333