I think the answer is -4m-3 or -4m+19
it is most likely the first answer
Answer:
Step-by-step explanation:
The first step is to isolate the variable on one side. In this case, let's try to bring x to the right. We do this by adding 3x to both sides, which gives us:
Now, to have just the x term on the right, we subtract one from both sides of the equation, giving:
The last step is to divide both sides by two to leave x by itself. Thus, after dividing, we get:
Hope this helps!
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➷ volume = length x width x height
volume = 2.5 x 1.5 x 4
volume = 15 in^3
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Answer:
Parralel lines have the exact same slope.
in the equation y=mx+b m is the slope
Both of these equations are in slope intercept form (y=mx+b) meaning that the coefficient in both equations is the slope.
Parralel lines have the same slope and perpendicular lines have the inverse opposite slope. For example if a line had a slope of 2 or 2/1 then the perpendicular line to it would have a slope of -1/2.
With that knowledge we can easily see that the lines are perpendicular since their slopes (represented by the coefficient) are the inverse opposite.
Perpendicular is your answer
Step-by-step explanation:
Hello!
We can solve for the vertex by completing the square. Begin by factoring out 6 from the equation to simplify the process:
6(x² - 8x) - 54 = 0
To complete the square, we must look at the first two terms (x² - 8x).
Remember that squaring a binomial uses the format a² + 2ab + b². We are already given a² and 2ab², so solve for b:
-8 / 2 = -4. This is the value of b.
We can rewrite this as:
(x - 4)²
However, this produces +16 which much be taken into account. Substitute (x - 4)² into the original equation:
6(x - 4)² - 54 = 0
Multiply 16 by the term in the front and subtract to cancel out this term:
6(x - 4)² - 54 - (6 · 16) = 0
Simplify:
6(x - 4)² - 150 = 0
In this form, the vertex is given as:
a(x - h)² + k, where h = x-coordinate and k = y-coordinate of the vertex.
In this instance, h = 4 and k = -150, so the coordinates of the vertex are:
(4, -150)