Answer:
√5 is irrational
Step-by-step explanation:
A rational number is one that can be written exactly as an integer or ratio of integers. Written as a decimal number, it will have a finite number of digits, or a repeating decimal fraction.
<h3>Application</h3>
Usually, a number that can <em>only</em> be expressed <em>exactly</em> using a <em>symbol</em> will be irrational. For square roots, any root of an integer other than a perfect square will be irrational.
The integer 5 is not a perfect square. It is between the squares 2²=4 and 3²=9. The square root of 5 is irrational.
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<em>Additional comment</em>
A reduced fraction whose denominator has factors other than 2 or 5 will translate to a repeating decimal. The number of repeating digits may be as many as 1 less than the denominator. For example, 1/19 has an 18-digit repeating decimal equivalent.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have

This is the equation of the line
To graph a line we need two points
<em>Find the intercepts</em>
1) The y-intercept is the value of y when the value of x is equal to zero
For x=0


The y-intercept is the point (0,3)
2) The x-intercept is the value of x when the value of y is equal to zero
For y=0


The x-intercept is the point (-1.5,0)
To draw the graph of the line plot the intercepts and join the points
using a graphing tool
see the attached figure
Answer:
a = -0.3575
Step-by-step explanation:
The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.
The points A and B are located where

This gives


Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

Thus the coordinates of B are:

Now this point B lies on the parabola, and therefore it must satisfy the equation 
Thus

Therefore


1/2 + 4x = 5x - 5/6
1/2 = x - 5/6
3/6 = x - 5/6
x = 8/6