Use the quadratic formula to find the solutions to the equation.
3x^2- 10x+ 5 = 0

Step-by-step explanation:

The quadratic equation is:

The roots (solutions) of a quadratic equation of the form

are

in this case we have a = 3, b = -10, and c = 5

So, substituting for a, b and c we get

Simplifying we get

 (First root/solution)

 (Second root/solution)

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )