Answer:
<h2>The answer is option C</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
Equation of original line is y = ⅔x + 1
Comparing with the general equation above
Slope = 2/3
Since the lines are parallel their slope are also the same
Slope of parallel line = 2/3
So the equation of the line using point
( 1,1) and slope 2/3 is
<h2>
</h2>
Hope this helps you
Answer: 30×2n=C
Step-by-step explanation:
30$ is flat fee so no variable
2$ dollars per person so "n" (the number of people) is times 2
= the final cost (C)
Answer:
Son's age is 14 and father's age is 38
Step-by-step explanation:
The question in English is
Ten years ago my son's age was 1\7 of the father's. Now his ages add up to 52. What is the son's age?
Let
x -----> son's age
y ----> father's age
we know that
------> equation A
-----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (14,38)
see the attached figure
therefore
son's age is 14 and father's age is 38
30(x - 10) = 120
Use distributive property to remove the parenthesis
30x - 30(10) = 120
30x - 300 = 120
move the constant to the right side
30x - 300 = 120
30x = 120 + 300
30x = 420
solve for x by moving 30 to the right side, multiplication will be division after moved to the right side
30x = 420
x = 420/30
x = 14
The value of x is 14
