A) to get the longest object do a^2 + b^2 =c^2
25^2+25^2=c^2
Then
c^2 +50^2
Square root the answer to get the longest object
B) 10^2+12^2=c^2
Then
c^2+58^2
Square root the answer to get the longest object
C)whichever has the largest answer
Answer:
(-3, 1), 5
Step-by-step explanation:
x² + y² + 6x - 2y - 15 = 0
Rearrange:
x² + 6x + y² - 2y = 15
Complete the square:
x² + 6x + 9 + y² - 2y + 1 = 15 + 9 + 1
(x + 3)² + (y - 1)² = 25
Therefore, the center is (-3, 1) and the radius is 5.
Opposite sides of angles are equal so
x+12=4x-48
12+48=4x-x
60=3x
x=60/3
x=20
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Option B;
A suitable x-coefficient for a quadratic function that factors into a perfect square has to be even.