nary002000zz
nary002000zz nary002000zz
  • 14-03-2022
  • Mathematics
contestada

if a<b<0 show that a² > b²

PLEASE SHOW STEP-BY-STEP​

Respuesta :

claire33p7xpgf
claire33p7xpgf claire33p7xpgf
  • 14-03-2022

Answer:

a2−b2=(a−b)(a+b).

Since a≥0 and b>0, a+b>0 and a−b<0 since a<b, thus: (a−b)(a+b)<0. So a2−b2<0. Thus a2<b2.

Answer Link

Otras preguntas

which quantity is use to generate the error bars on a graph?
Find the angle measure that is complementary to this angle. 2 degrees
Solve 2x − 9 = 15. (1 point) 3 4 12 48
In an embryo, the formation of many types of tissues and organs occurs as a result of the process of (1) fertilization (2) genetic sorting (3) differentiation
A researcher selects a random sample of 500 college students from Kentucky. It is found that 23% of students in the sample are science majors. The actual percen
Round this number to the nearest one. 7,005.9
The amount of time allotted for a patient's office appointment is largely dependent on the _______________________.
Which sentence is punctuated correctly? A. The Zimmer Corp. provided food for the Fri afternoon luncheon B. Did Mr Donovan attend the entire lecture. C. The pa
A particular hormone travels by many types of cells in the body. Which mechanism ensures that it acts only on the target cells?
What did John F. Kennedy mean by the term “new frontier”?