What is the value of x in the diagram below? Id necessary, round your answer to the nearest tenth of a unit.

D

Step-by-step explanation:

This uses the Altitude- on- Hypotenuse theorem

An altitude drawn to the hypotenuse of a right triangle.

The 2 triangles formed are similar to the given triangle and each other, thus

Δ BAC ~ Δ BDA

The ratios of corresponding sides are equal, that is

= , substitute values

= ( cross- multiply )

30x = 196 ( divide both sides by 30 )

x ≈ 6.5 ( to the nearest tenth ) → D

yo

step-by-step explanation:

yo

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.