Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

math solve questions
[tex]9 - \sqrt{y - 4 = 5} [/tex]


Sagot :

Answer:

y = 20

Step-by-step explanation:

[tex]9 - \sqrt{y - 4} = 5[/tex]

i) move 9 to the right-hand side and change its sign

[tex] - \sqrt{y - 4} = 5 - 9[/tex]

ii) calculate the difference

[tex] - \sqrt{ y - 4} = - 4[/tex]

iii) change the signs on both sides of the equation

[tex] \sqrt{y - 4} = 4[/tex]

iv) square both sides of the equation

[tex]( \sqrt{y - 4} ) {}^{2} = 4 {}^{2} [/tex]

[tex]y - 4 = 4 {}^{2} [/tex]

[tex]y - 4 = 16[/tex]

v) move -4 to the right-hand side and change its sign

[tex]y = 16 + 4[/tex]

vi) add the numbers

[tex]y = 20[/tex]

Answer: y = 20

defined condition is y ≥ 4

[tex]9 - \sqrt{y - 4}=5\\\\<=> \sqrt{y - 4}= 9-5\\\\\\<=>\sqrt{y-4}= 4\\\\\\=> y - 4 = 16\\\\\\<=> y = 16 + 4 = 20[/tex]

Step-by-step explanation: