Loser888idn
Answered

Connect with a knowledgeable community and get your questions answered on IDNLearn.com. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.

Write the equation x2 + 6x + y2 – 8y = 19 in standard form.

Question 11 options:


1)
(x + 3)2 + (y – 4)2 = 44


2)
(x + 3)2 + (y – 4)2 =


3)
(x – 3)2 + (y – 4)2 =


4)
(x + 3)2 + (y + 4)2 = 44

Sagot :

S40087206idn

Answer:

i think its 2

Step-by-step explanation:

The equation of  x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44. Hence, Option A is the correct answer.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given the equation as;

x² + 6x + y² - 8y = 19

We need to find the standard form of the equation.

Thus, we have,

(x²  + 6x )+(y²- 8y) = 19

We shall complete the square for the term;

(x²  + 6x + 9 - 9 ) + (y² +  4y + 16 - 16) = 19

Simplifying, we get,

(x²  + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19

(x²  + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19 + 9 + 16

Formula used :

x²+2xy+y² = (x+y)²

x²-2xy+y² = (x-y)²

Simplifying, we get,

(x + 3)² + ( y - 4)² = 44

Thus, the equation of  x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44.

Hence, Option A is the correct answer.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.