<span>What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)} The domain is formed by the values of x, the first value of the ordered pairs (x,y), in this case 3, 6, -1, 5, and -4. Ordering the values: Domain of the function=</span><span>{x | x = –4, –1, 3, 5, 6} Answer: First option </span><span>{x | x = –4, –1, 3, 5, 6}</span>
An isosceles triangle is a special type of triangle that has two equal sides. Consequently, the two base angles are also equal. Since the interior angles of a triangle should sum up to 180°, the general equation should be
180° = 2*Base angle + Vertex angle
Let the base angle be x. Thus, the vertex angle is equal to Vertex angle = 4x - 6 Substituting, 180 = 2x + 4x - 6 x = 31°
The table showing the conversion of angle measure in degrees to angles in gradients is attached below.
In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).
For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:
So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11