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

a tax on imported goods​
Help plz I WILL GIVE BRAINLIEST JUST PLZ HELP
Write one benefit of fungi
SETTING: Claire's house, Friday morning. Claire's mother is getting ready to leave home. Scene 1 CLAIRE'S MOTHER: Claire, dear! I'm so happy. You received the h
give me 5, 7-10 sentences paragraphs about dating your GF/bf and having a kid at 16.
HURRY!!!!! What is the solution to -2(8x - 4) < 2x + 5? O x> 1 / 2 0 x < 1/16 O x>6 O x < 6
y= -5x-9 (slope) I NEED HELP
what are some Political reasons for immigration to the U.S
who knows what 12x divided by [tex]82\frac{2}{3}[/tex] WeLp ;n;
-3x-1x+5=-3 I need hel