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

Which operation should you do first when you simplify the expression below? (15 + 4) 3
Given g(x) = -x – 4, find g(-5).
any ten rules and regulations​
1/6 4/6 3/6 least to greatest
The average surface temperature on Jupiter is -158°F. The average surface temperature on Saturn is 50°F less than on Jupiter. What is the average surface temper
PLEASE HELP!! I WILL MARK THE FIRST CORRECT ANSWER BRAINLIEST!!))What is the volume of this cylinder? Use a ~ 3.14 and round your answer to the nearest hundredt
Help with these problems please, DUE T O D A Y !!!! I’ll try to make you guys brainlist who ever answers first
Select the most accurate summary of kaku’s argument. Virtual reality allows people to experience harsh environments, such as nuclear warfare, in a safe location
please HELP MEEE OUT
The room in which I found myself was very large and lofty. The windows were long, narrow, and pointed, and at so vast a distance from the black oaken floor as t