A book that is 13 inches tall is leaning against the edge of a wall. If the bottom of the book is 5 inches from the wall, how far up the wall is the top of the book?

Length of the book (hypotenuse) = 13 inches

Distance of the book from the foot of the wall (base) = 5 inches

Length of the book on the wall (perpendicular ''").

By Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

  + (5 in) ² = (13 in)²

+ 25 in² = 169 in²

  = 169 in² - 25 in²

  = 144 in²

  =

  =

  =

  = 12 in

Therefore, the height of the book on the wall is 12 inches.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

⭐⭐

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.