The equation of the line will be 3y + 8x = 165.
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
- Find the equation of the line through point (8,−9) ( 8, − 9 ) and perpendicular to 3 x + 8 y = 4.
The given equation of the line is:-
3 x + 8 y = 4.
The slope of this line will be:-
3 x + 8 y = 4.
8y = -3x + 4
y = -3 /8x + ( 1 / 2)
y = mx + c
m = -3 / 8
Since the line is perpendicular to the other line 3x +8y = 4 so the slope will be inverse and negative for the line.
So the slope of the line will be -8 / 3
The equation of the line passing through the point will be given as:-
y - y 1 = m ( x- x1)
y - (-9) = ( -8 / 3) ( x - 8)
Y + 9 = ( -8 / 3 ) ( x -8 )
3 y = -8x + 165
3y + 8x = 165
Therefore the equation of the line will be 3y + 8x = 165.
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Answer:
that puts the solution in the form ...
variable is ...
Step-by-step explanation:
It isn't always.
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Often, we like to have a solution be in the form ...
variable is ...
So, for an inequality, that puts the variable on the left:
x > 3
y < 27
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Personally, I like to see the answer in a form that has the variable and its values in the same relation as on a number line. This means, my preferred inequality symbols are < or ≤, since those have the smaller numbers on the left. I would write the first example above as ...
3 < x
showing that the shaded portion of the number line (representing possible values of the variable) is to the right of the open circle at 3. For me, it is more mental effort to translate x > 3 to the same image.
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The forms we choose to use are all about making communication as easy as possible.
We know that if K is between H and J that HK+KJ=HJ therefore by substitution, x-5+5x-12=25
6x-17=25
6x=42
x=7
Answer:
a) 3(1.2x - 8) or 3.6x - 24
b)
3(1.2x - 8) = 12
1.2x - 8 = 4
1.2x = 12
x = 12/1.2
= 10
H= -1 here's why:
7 = 12 + 5h
First you subtract 12 from both sides then the equation would look like:
-5 = 5h
Then you would divide the equation by 5 from both sides it would then look like:
-1 = h