The difference between (3x+6y)(3x+6y) and (4x+9y)(4x+9y) is 7x² +36xy+45y²
<h3>What is an Expression ?</h3>
An expression is a mathematical statement which has variables , constants and mathematical operators simultaneously.
The expression given in the question is
(3x+6y)(3x+6y) and (4x+9y)(4x+9y)
the difference when (3x+6y)(3x+6y) is subtracted from (4x+9y)(4x+9y)
(4x+9y)(4x+9y) - (3x+6y)(3x+6y)
16 x² + 36xy+36xy +81y²-9x²-18x -18x -36y²
7x² +36xy+45y²
Therefore in simplest term , The difference between (3x+6y)(3x+6y) and (4x+9y)(4x+9y) is 7x² +36xy+45y²
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Answer:
Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:
Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:
So rewriting both equations using the tangents values, we have that:
From the first equation, we have that:
Using this value of x in the second equation, we have that:
The coordinates of A'and B'when AB is reflected in the y-axis are; (-2,5) and (-6,3).
<h3>What are the coordinates of A'and B'when AB is reflected in the y-axis?</h3>
According to the task content, it follows that the reflected points A' and B's coordinates are required.
From the graph, the coordinates of A= (2,5) and B= (6,3).
On this note, the coordinates of A' and B' upon reflection over the y-axis is; (-2,5) and (-6,3) respectively.
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