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

1) 15x^3 + 19x^2 + 6x A) (3x^2 +2)(5x+3) B) x(3x+2)(5x+3) C) x^2(3x+2)(5x+3) D) x(5x+2)(3x+3) E) Prime I chose E) Prime. 2) 2x^2 - 14x - 6x + 42 A) 2(x+
What forces have contributed to the growth of the global economy?
how many lines of symmetry does a rhombus that is not a square have?
What are the advantages of a sole proprietorship?
Why werew people in the slave states enthusiastic about the mexican-american war ?
What is the approximate straight-line distance in miles between Athens and Rome
What is the molecular formula of a compound that has a molecular mass of 54 and the empirical formula C2H3? A. C2H3 B. C4H6 C. C6H9 D. C8H12
In a chemical reaction, the difference between the potential energy of the products and the potential energy of the reactants is defined as the (1) activation e
YOU WILL GET 50 POINTS IF YOU HELP ME b. Why does the Harlem Renaissance hold such significance in US history despite its fading influence during the Great Depr
14,28,56,112 number pattern