The equation of the line in slope - intercept form is 
Explanation:
The line passes through the points
and parallel to the line 
Since, the line is parallel, the slope is 
The y - intercept can be determined by substituting the points
and
in the slope - intercept formula, we get,




Thus, the y - intercept is 
The equation of the line in slope - intercept form can be determined using the formula 
Thus, substituting
and
, we get,

Hence, the equation of the line in slope - intercept form is 
Answer:
w = 30
Step-by-step explanation:
30/5 = 6
Hope this helps!
Answer:
6 hours
Step-by-step explanation:
First set up the equation. Seeing the word "per", we know that this will be the variable. The repairman charges an initial fee of 37.50, so we add that fee to the total cost of every hour. To find how much Robin can spend, you set it equal to 450
65x + 37.50 = 450
Now subtract 37.50 from both sides because neither number has a variable, so you can subtract them to simplify the equation
65x = 412.5
To isolate x and find what it's equal to, divide both sides by 65 to get rid of the coefficient.
x = 6.34.
However the answer should be 6 because robin cannot afford a full or part of a 7th hour
Answer:
A
Step-by-step explanation:
The only equation that follows what it says.
Answer:
The maximum height of the prism is 
Step-by-step explanation:
Let
x------> the height of the prism
we know that
the area of the rectangular base of the prism is equal to


so
-------> inequality A
------> equation B
-----> equation C
Substitute equation B in equation C

------> equation D
Substitute equation B and equation D in the inequality A
-------> using a graphing tool to solve the inequality
The solution for x is the interval---------->![[0,12]](https://tex.z-dn.net/?f=%5B0%2C12%5D)
see the attached figure
but remember that
The width of the base must be
meters less than the height of the prism
so
the solution for x is the interval ------> ![(9,12]](https://tex.z-dn.net/?f=%289%2C12%5D)
The maximum height of the prism is 