The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26
Step-by-step explanation:
Given
The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2
As the product of slopes of two perpendicular lines is -1.
Slope intercept form is:
Putting the value of slope
y=-2x+b
To find the value of b, putting (9,8) in the equation
Putting the values of b and m
Hence,
The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26
Keywords: Equation of line, Slope-intercept form
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Answer:
the blue dot is at -11 value on the number line.
This system can be a bit tricky unless you write it out:
(2n + 2)(2n - 2) ~ First you have to take one variable and multiply it to each of the other two variables, like:
2n * 2n ~ And:
2n * -2 ~ This gives you:
4n^2 - 4n
Now we do this with the other:
2 * 2n
2 * -2
4n - 4
Now we combine them both while adding like terms:
4n^2 - 4
Therefore your answer is: A. 4n^2 - 4
(This is due to how when having the positive 4n subtracted by the negative it cancels it out. Leaving us with the remaining two terms left.)
I hope this helps, have a great rest of your day! ^ ^
~Ghostgate
Answer:
0.5 < x < 16.5
Step-by-step explanation:
The third side of the triangle must be longer than the difference of the other two sides:
x > (8.5 -8.0)
x > 0.5
And it must be shorter than their sum:
x < (8.5 +8.0)
x < 16.5
The third side must be in the range ...
0.5 < x < 16.5
_____
These limits are a direct consequence of the triangle inequality, which requires the sum of the two shortest sides exceed the length of the longest side.
