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

The area of a square field is 200 square feet. What is the approximate length of each side of the field? Round your answer to the nearest foot.
Canada has a population that is about 1/10 as large as the United States. If Canada's population is about 32,000,000, about how many people live in the United S
Which word in the sentence is the appositive? My older sister Maria is learning how to drive a car. A. sister B. learning C. Maria D. car
The Middle Colonies were most known for its what of different religions?
the ratio of boys to girls at the movie is 4:7. If there are 21 girls, how many boys are at the movie?
Give an example of oxidation reaction which can be a nuisance
what are the similarities between insects and humans
Which words in the sentence are the appositive? Which words does the appositive rename? The author Charles Dickens wrote some of the best-loved novels of all
write the ratio 6 ft to 4yd as a fraction in simplest form.
how does art inspire some people