Answer: 6x + 42 +=78
.
Step-by-step explanation:
The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.
- <em>The equation for f(l) is: </em>
<em>.</em> - <em>The desired length and width are 8m and 4m</em>
<em />
Given that:

Divide both sides by 2

<u>Equation of f(l)</u>
The sum of the length and the width is represented as: f(l).
So, we have:

Substitute 


See attachment for the graph of f(l)
<u>The desired dimension</u>
From the question, we understand that the total length is 12m.
This means that:

So, we have:

Divide both sides by 1.5

Recall that:



Hence, the desired length and width are 8m and 4m, respectively.
Read more about linear equations at:
brainly.com/question/2263981
Answer:
The distance of the point from the origin = 9.29 units.
Step-by-step explanation:
Given point:
(7,-6)
The angle lies such that the terminal side of the angle contains the given point.
To draw the angle and find the distance from the origin to the given point.
Solution:
The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.
So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.
We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.
Applying Pythagorean theorem.



Taking square root both sides :


Thus, the distance of the point from the origin = 9.29 units.
The figure is shown below.
Answer:
Step-by-step explanation:
Sara's base pay is $80
(a) The 9t represents the additional amount of money that she earns if she gives instruction for t hours. 9 stands for $9 per hour
b)The term in the expression is t which stands for the number of hours that she instructs. The coefficient is 9 which stands for the hourly rate
c) The expression for 7 hours would be
We will substitute t into 80 + 9t. It becomes
80 + 9×7
d) in all, she will earn
80 + 9×7 = $143