What is the solution to the following equation? -6(x-2) + 3x = -3(x + 3) + 21
2 answers:
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Answer:
≈ 12.6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the third side, then
x² + 6² = 14²
x² + 36 = 196 ( subtract 36 from both sides )
x² = 160 ( take the square root of both sides )
x = ≈ 12.6 ( to the nearest tenth )
Shown in the graph
<h2>Explanation:</h2>Using graph tools we can graph the function:
which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:
Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it ) will be:
This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:
By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:
Cubic function: brainly.com/question/13773618#
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