A linear function on a coordinate plane. A line passing through (1, 4), (minus 2, minus 2), intersects the y- axis at 2 units an
1 answer:
The inequality passing through (1, 4), (-2, -2), intersecting the y-axis at 2 units and intersects the x-axis at (-1, 0) to form shaded portions on the left side is y > 2x+2
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more variables and numbers.
An inequality shows the non equal comparison of two or more numbers and variables.
The inequality passing through (1, 4), (-2, -2), intersecting the y-axis at 2 units and intersects the x-axis at (-1, 0) to form shaded portions on the left side is y > 2x+2
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The distance traveled to the top of the escalator to the bottom is 52 ft
Here, we want to calculate the distance a person on the escalator travel from the bottom to the top of the escalator
Firstly, we need a diagrammatic representation to understand this
We can form a right-angled triangle with the information given in the question.
The diagram is shown as below;
From the question, by simply calculating the hypotenuse of the right-angled triangle, we can get the distance traveled from the bottom of the escalator to the top
Let us call this distance d
We can now use the appropriate trigonometric ratio
The trigonometric ratio to use here is the sine since we have the opposite and we want to calculate the hypotenuse
Mathematically;
I find it convenient to let a graphing calculator help me with factoring. It shows the roots to be -7, 1/5, 2. Hence the factorization will be
.. = (x +7)(5x -1)(x -2)
.. = (x +7)(5x -1)(x -2)