For which value of x is xyza a rectangle

1.B

2.B

3.A

4.C

I just took the quick check %100 ♥

The required value of x for which XYZA is a rectangle : x = -1

Step-by-step explanation:

Let the diagonals of the rectangle XYZA meet at point C

Since, The diagonal of rectangle bisect each other

⇒ AY = 2 × AC

⇒ AY = 2 × (5x - 5)

⇒ AY = 10x - 10

Also, XZ = 2 × CZ

⇒ XZ = 2 × (3x + 3)

⇒ XZ = 6x + 6

Now, Diagonals of rectangle are congruent to each other

⇒ AY = CZ

⇒ 10x + 10 = 6x + 6

⇒ 4x = -4

⇒ x = -1

Hence, The required value of x for which XYZA is a rectangle : x = -1

29.5977692753

step-by-step explanation:

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.