Answer: good evening friends have a great day Step-by-step explanation: (x + 2)² = 9 We have (something)² = 9 So, EITHER something = 3 OR something = -3 In other words, EITHER x + 2= 3 OR x + 2 = -3 If x + 2= 3. then x = 1 If x + 2= -3. then x = -5 (y + 3)² = 25 We have (something)² = 25 So, EITHER something = 5 OR something = -5 In other words, EITHER y + 3= 5 OR y + 3 = -5 If y + 3= 5, then y = 2 If y + 3= -5, then y = -8 We want to MAXIMIZE the value of x/y If the x-value and y-value have OPPOSITE signs, x/y will be NEGATIVE If the x-value and y-value have the SAME sign, x/y will be POSITIVE So, need the x-value and y-value have the SAME sign Try #1 x/y = 1/2 Try #2 x/y = (-5)/(-8) = 5/8 Since 5/8 is greater than 1/2, the correct answer is C Reply
Answer:
good evening friends have a great day
Step-by-step explanation:
(x + 2)² = 9
We have (something)² = 9
So, EITHER something = 3 OR something = -3
In other words, EITHER x + 2= 3 OR x + 2 = -3
If x + 2= 3. then x = 1
If x + 2= -3. then x = -5
(y + 3)² = 25
We have (something)² = 25
So, EITHER something = 5 OR something = -5
In other words, EITHER y + 3= 5 OR y + 3 = -5
If y + 3= 5, then y = 2
If y + 3= -5, then y = -8
We want to MAXIMIZE the value of x/y
If the x-value and y-value have OPPOSITE signs, x/y will be NEGATIVE
If the x-value and y-value have the SAME sign, x/y will be POSITIVE
So, need the x-value and y-value have the SAME sign
Try #1
x/y = 1/2
Try #2
x/y = (-5)/(-8) = 5/8
Since 5/8 is greater than 1/2, the correct answer is C