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 quotations from “Here Is New York” develop the author’s viewpoint that commuters do not truly experience New York City? Select each correct answer. A"Or
Will give brainliest answer if correct
what punctuation mark is often used to insert explanatory text into a quotation
The rico act initiated the use of __________ as a sanction
At STP, the temperature is __ degrees Celcius and __ K. Question 2 options: 1.) 273; 0 2.) 0; 273 3.) 373; 100 4.) 100; 373
Describe a situation where a population would experience exponential growth.
compare chemical weathering to mechanical weathering
HELPPPPPPPPPPPPPPPPPPP and explain
The development of the american multi-nodal pattern of urban development initially started ________ .
4.13 Identifying Theme: Julius Caesar For your essay at the end of this unit, you will first need to identify a theme in Julius Caesar, explain how it is devel