Find an equation in standard form for the ellipse with the vertical major axis of length 10 and minor axis of length 8. x squared divided by 25 plus y squared divided by 16 equals 1
x squared divided by 5 plus y squared divided by 4 equals 1
x squared divided by 4 plus y squared divided by 5 equals 1
x squared divided by 16 plus y squared divided by 25 equals 1

hi there!

the answer will be d: 2

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:

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a