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The parallel line to y = x + 3 and passes through
the point (0 , 4) is y = x + 4
Step-by-step explanation:
Parallel lines have:
1. The same slopes
2. The different y-intercept
The slope-intercept form of the linear equation is y = m x + c, where
m is the slope of the line and c is the y-intercept
We need to find the equation of the line that is parallel to
y = x + 3 and passes through the point (0 , 4)
∵ The two lines are parallel
∴ Their slopes are equal
∵ The equation of the given line is y = x + 3
∵ The form of the equation is y = m x + c
∴ m =
∴ The slope of the line is
∵ The equation of the line is y = mx + c
∵ m =
∴ The equation of the line is y = x + c
- To find c substitute x and y in the equation by the coordinates of
a point lies on the line
∵ The line passes through the point (0 , 4)
∴ x = 0 , y = 4
∴ 4 = (0) + c
∴ c = 4
∴ The equation of the line is y = x + 4
The parallel line to y = x + 3 and passes through
the point (0 , 4) is y = x + 4
Learn more:
You can learn more about equations of parallel lines in brainly.com/question/8628615
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Answer:
length and width=4
height=8
Step-by-step explanation:
Hello to solve this problem we must propose a system of equations of 3x3, that is to say 3 variables and 3 equations.
Ecuation 1
Leght=Width
.L=W
Ecuation 2
To raise the second equation we consider that the length and width of 4 inches less than the height of the box
H-4=W
Ecuation 3
To establish equation number 3, we find the volume of a prism that is the result of multiplying length, width, and height
LxWxH=128
From ecuation 1(w=h)
solving for H
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<em>Using ecuation 2</em>
H-4=W
Now we find the roots of the equation, 2 of them are imaginary, and only one results in 4
W=4in
L=4in
to find the height we use the ecuation 2
H-4=W
H=4+W
H=4+4=8
H=8IN