Write an inequality and show on a number line all numbers: greater than (−3) but less than or equal to 3
1 answer:
<h2>Answer with explanation:</h2>
To write an inequality and show on a number line all numbers: greater than (−3) but less than or equal to 3
Let n be the number, then -3 < n ≤3 .
On number line we mark open circle at -3 (since it has a strictly less than sign) and a closed circle at 3 (since it has a less than and equal to sign) .
To the required inequality that shows all the numbers greater than (−3) but less than or equal to 3 : -3 < n ≤3 and the number line is represented below.
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The spider's movement is an illustration of a parabola.
- The equation of a parabola is:
- The focus of a parabola is: (40,-30)
- The axis of symmetry is:
- The directrix is:
<u>(a) The equation</u>
The spider passes through the origin.
So, we have:
The spider jumps to a maximum height of 10mm, midway 80mm.
So, the vertex is:
The equation of a parabola is:
So, we have:
Subtract 10 from both sides
Solve for a
Substitute and
in
<u>(b) The focus, directrix and the axis of symmetry</u>
The focus of a parabola is:
Where:
So, we have:
So, we have:
The axis of symmetry is:
So, we have:
The directrix is:
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