sgutierrez1074 sgutierrez1074
  • 04-01-2022
  • Mathematics
contestada

If $(2x + 3y)^2 = 4$ and $xy = -5$, what is the value of $4x^2 + 9y^2$?

Respuesta :

rspill6
rspill6 rspill6
  • 04-01-2022

Answer:

64

Step-by-step explanation:

(2x + 3y)^2 = 4

xy = -5

4x^2 + 9y^2

===========

(2x + 3y)^2 = 4                   [Start here]

4x^2 +12xy + 9y^2 = 4       [Expand]

4x^2 +12(-5) + 9y^2 = 4     [Substitute xy = -5]

4x^2 -60 + 9y^2 = 4            

4x^2 + 9y^2 = 4 + 60       [Rearrange]

4x^2 + 9y^2 = 64              [64 is the value of 4x^2 + 9y^2]

Answer Link

Otras preguntas

What is the difference between assignment problems and transportation problems
What encodes genetic information?
Which one of the following words illustrates the addition of a vowel suffix? A. Tenderness B. Enjoyment C. Careful D. Cropped
how do you find a slope
The earth is divided into __________ meridians. A : 24 B : 90 C : 180 D : 360 "UpVote my question"
What happens after pollen lands on the stigma of a flower? it grows a tube to travel down to the ovary.it fertilizes the plant at the stigma.it grows a tube to
Find the product. 5E4 * 7 =
The strength of a cable is proportional to the square of its diameter. If a 2-cm cable will support 800kg, how much will a 3-cm cable support?
what is the area of 28ft
- What are amendments to the Constitution? - How many are there? - Why do we have them?