justincarpio1207 justincarpio1207
  • 19-05-2020
  • Mathematics
contestada

The dimensions of a rectangle are x+4 and 3x-1. Write an expression to represent the area of the rectangle.

Respuesta :

mcdo9902
mcdo9902 mcdo9902
  • 20-05-2020

Answer:

9x^4 - 6x^3 + 97x2 - 88x + 16

Step-by-step explanation:

so (x + 4)(x + 4) = x^2 + 8x + 16 is the total length of the rectangle, and

(3x - 1)(3x - 1) = 9x^2 - 6x + 1, if you multiply each other, because Area = length times width, then you get the area.

(9x^2 - 6x + 1)(x^2 + 8x + 16) = 9x^4 + 72x^2 + 144x^2 - 6x^3 - 48x^2 - 96x + x^2 + 8x + 16, and then you add them all together = 9x^4 - 6x^3 + 98x^2  - 96x + 8x + 16 = 9x^4 - 6x^3 + 97x2 - 88x + 16

Answer Link

Otras preguntas

Carlos has a 1.2 meter long piece of wood. He wants to cut it into 3 equal lengths. How long should each piece be in millimeters ?
Write an algebraic expression for the difference of 10 and u
14 boys and 11 girls. What is percent of girls
You want to describe the harmonic motion of a swing. You find out that it take 2 seconds for the swing to complete one cycle. What is the swing’s period and fre
Sydeny says that 4/8 is closer to 0 than to 1
why do you think the eardrum and the tiny bones are so far inside the head
Are moral absolutes, or morality strictly relative? What are the implications of your viewpoint on this issue for your own moral attitudes, beliefs, and code?
81x²-9=0I have to use the Qaudratic Formula
A broken clock is set correctly at 12:00 noon. However, it registers only 20 minutes for each hour. In how many hours will it again register the correct time?
What is the answer to w/7=0.3