Question

the maximum distance of the graph from the x axis is called​

Answer 1

Step-by-step explanation:

This means:

x is 3 units to the right from (0, 4, 5)

y is 4 units upwards from (3, 0, 5)

z is 5 units inwards from (3, 4, 0)

Note that the x-axis has the equation ‘y=0, z=0’, because the axis is horizontal and always has a y and z values of 0 for all x.

Therefore, the distance of point P(3,4,5) from X-axis is the hypotenuse of the triangle formed by the upward and inward movement along y and z-axis, which can be found using Pythagoras’ Theorem:

sqrt(5^2 + 4^2) = sqrt(41)

The distance is the square root of 41.