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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Its A Random Trail With A Lot Of possible Come Outs
usually Denoted Using Set notations
You Can Use A Dice As And Example Or A Coin
Answer:
t5ju8i8
Step-by-step explanation:
The amount of heat released when 12.0g of helium gas condense at 2.17 K is; -250 J
The latent heat of vapourization of a substance is the amount of heat required to effect a change of state of the substance from liquid to gaseous state.
However, since we are required to determine heat released when the helium gas condenses.
The heat of condensation per gram is; -21 J/g.
Therefore, for 12grams, the heat of condensation released is; 12 × -21 = -252 J.
Approximately, -250J.
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Carl and Rose' balconies make up the base of an isosceles triangle.
Their distances from the flagpole is the same.
From the question, we understand that:
- Carl and Rose live on a straight line
- The measure of angle from each person's balcony to the flagpole is the same
The above highlights mean that:
The relationship between Carl and Rose' balconies and the flagpole is an isosceles triangle.
Where Carl and Rose' balconies form the base of the isosceles triangle.
Hence, their distances from the flagpole is the same.
Read more about distances at:
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