You should scan it on this app:)
Answer:
Step-by-step explanation:
alright lets get started.
Please refer the diagram I have attached.
the runner traveled, six kilometers east.
Next, they turn to north and suppose they run x kilometers.
The starting and the ending points distance is 10 kilometers.
There will be a right triangle formed, we can find the value of x by using Pythagorean theorem.



Subtracting 36 from both sides


So, the runners travel 8 kilometers to the north. : answer
Hope it will help. :)
Answer: the cost per unit of gas is $0.38
Step-by-step explanation:
Let x represent the cost per unit of electricity.
Let y represent the cost per unit of gas.
During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. It means that
600x + 100y = 344- - - - - - - - - -1
The next month, 400 units of electricity and 250 units of gas were used for a total cost of $299.
It means that
400x + 250y = 299- - - - - - - - - -1
Multiplying equation 1 by 400 and equation 2 by 600, it becomes
240000x + 40000y = 137600
240000x + 150000y = 179400
Subtracting, it becomes
- 110000y = - 41800
y = - 41800/- 110000
y = 0.38
Substituting y = 0.38 into equation 1, it becomes
600x + 100 × 0.38 = 344
600x + 38 = 344
600x = 344 - 38 = 306
x = 306/600
x = 0.51
Given the following table showing the hourly wages of employees of a movie theater based on their length of employment.
<span>Length of employment (months) Hourly wage (dollars/hour)
6 months 7.55
12 months 7.85
18 months 8.15
24 months 8.45
To obtain an algebraic expression </span>that describes how much Bailey’s employer pays part-time workers, we take two points from the table.
Recall that the equation of a linear function satisfying two points

and

is given by

Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by

Therefore, the <span>algebraic expression that describes how much Bailey’s employer pays part-time workers is

</span>