<h2>24 inches</h2>
Step-by-step explanation:
It is given that
It is given that
Hence the required width in inches is 24.
Jamal stands on a dock 1.5 meters above the surface of the water. A trout swims 4.8 meters below Jamal. What is the position of
2 answers:
Answer:
Jamal stands on a dock 1.5 meters above the surface of the water.A trout swims 4.8 meters below Jamal.What is the depth of the trout compared to the surface of the water?
The position of the trout is 3.3 meters below the surface of the water.
Step-by-step explanation:
Given:
Jamal's position from the surface of the water = 1.5 meters
Trout's position with reference to Jamal's position =4.8 meters (Below)
Trout's position from the surface of the water is unknown.
Let
Trouts position be 's'.
And the surface of the water as equivalent to the origin (0,0) co-ordinate of the Cartesian.
Below water we will assign negative height as it lies on negative y-axis (below the origin).
We have to find 's',which can be known from adding both the values.
So the trout is swimming 3.3 meters below the surface of the water.
We can say that it is below the water so it can also be written as negative 3.3 (according to our coordinates).
The position of the trout is 3.3 meters below the surface of the water.
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Answer:
There are NO real roots for this equation. The only roots have imaginary parts and therefore cannot be represented on the real x-axis.
Step-by-step explanation:
We notice that the expression on the left of the equation is a quadratic with leading term , which means that its graph is that of a parabola with branches going up.
Therefore, there can be three different situations:
1) if its vertex is ON the x axis, there would be one unique real solution (root) to the equation.
2) if its vertex is below the x-axis, the parabola's branches are forced to cross it at two locations, giving then two real solutions (roots) to the equation.
3) if its vertex is above the x-axis, it will have NO real solutions (roots) but only non-real ones.
So we proceed to examine the vertex's location, which is also a great way to decide on which set of points to use in order to plot its graph efficiently.
We recall that the x-position of the vertex for a quadratic function of the form is given by the expression:
Since in our case and
, we get that the x-position of the vertex is:
Now we can find the y-value of the vertex by evaluating this quadratic expression for x = 3/4:
This is a positive value for y, therefore we are in the situation where there is NO x-axis crossing of the parabola's graph, and therefore no real roots.
We can though estimate a few more points of the parabola's graph in order to complete the graph as requested in the problem. For such we select a couple of x-values to the right of the vertex, and a couple to the right so we can draw the branches. For example: x = 1, and x = 2 to the right; and x = 0 and x = -1 to the left of the vertex:
See the graph produced in the attached image.
