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 was the primary reason for the economy that occur in the united states after world war two
Which of these characteristics did all of the five waves of immigrants have in common A. They all had the same political beliefs B. They all spoke English C.the
What is the source of energy that is released in an exothermic reaction? what absorbs the energy that is released ?
Primary sources contain information A. with the advantage of hindsight and the perspective of an outside observer and may be more objective. B. on s
What is the lcm of 45 and 54?
An old road was 3.95 miles long. After a renovation it was 3.81 times as long. How long was the road after the renovation?
unlike prokaryotic cells, ukaryotic cells have the capacity to
why would someone rub their hands together really fast when they are cold
In opera when dramatic dialogue is half sung and half spoken it is called
Does anyone know the answer?