4y = 3x + 18
Step-by-step explanation:
NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1
Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9
3y = -4x + 9
y = -4/3 x + 9/3
y = -4/3 x + 3
The slope of the perpendicular line is, therefore;
¾ - this is the negative inverse of -4/3
Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;
i.e (0, y)
The other given point, where the line crosses is (-2, 3). Remember that to get the gradient we use the formula;
Gradient = Δ y / Δ x
¾ = (3 – y) / (-2 – 0)
¾ = (3 –y) / -2
¾ * -2 = 3 – y
-3/2 = 3 – y
-3/2 – 3 = -y
9/2 = y ←– This is the y-intercept
Remember the function of a straight line is given;
y = mx + c (m being slope and c being y-intercept)
y = 3/4 x + 9/2
4y = 3x + 18
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Answer:
the Answer will be letter B
Answer: 64 lbs
Step-by-step explanation:
I divided 56/140 and got 0.4. Then multiplied 0.4 by 160 and got 64. SOunds about right to me.
You can double check by multipling 0.4 by 140 and you get 56.
The prime factor of the 576 is 
and the prime factor of the 64 is 
. And the expression 
is equal to 3.
<h3>What is simplification?</h3>
Simplification is to make something easier to do or understand and to make something less complicated.
Given
The expression is
The prime factor of the 576 will be
The prime factor of the 64 will be
Then the expression will be
More about the simplification link is given below.
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