The graph of linear equation 2x - 3y = -12 is as shown below.
I this question, we have been given a linear equation 2x - 3y = -12
We need to graph the points.
For x = 1,
2(1) - 3y = -12
2 - 3y = -12
-3y = -14
y = 14/3
For x = 0,
2(0) - 3y = -12
y = (-12)/(-3)
y = 4
For x = -1,
2(-1) - 3y = -12
-3y = -12 + 2
y = (-10) / (-3)
y = 10/3
So, we get coordinates (1, 14/3), (0, 4) and (-1, 10/3)
Now we plot these points.
The graph of linear equation 2x - 3y = -12 is as shown below.
Learn more about the linear equation here:
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Answer:
The formula for calculating the width of the window is
Step-by-step explanation:
<u><em>The question in English is</em></u>
A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?
we know that
The perimeter of the window is equal to
we have
so
simplify
isolate the variable l
----> equation A
The area of the window is equal to
we have
so
----> equation B
substitute equation A in equation B
solve for w
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
---> formula for calculating the width of the window
Answer:
y=12/x
Step-by-step explanation:
if y=12, and x=1 so
general formula y=12/x
for x=5 , y=12/5=2.4
you can graph by ploting points such as (1,12), (5, 2.4),...
Answer:
x = 7
Step-by-step explanation:
A, B, and C are collinear B is between A and C.
AC = AB + BC
2x + 1 = x + 4 + 2x - 10
2x + 1 = 3x - 6
2x - 3x = - 6 - 1
- x = - 7
x = 7
