Answer:
Step-by-step explanation:
(x + 3)² − 5 because :
(x + 3)² − 5 = x² +6x+9 -5 =x²+6x+4
The median is the middle number in a set of ordered numbers. Ordered from least to greatest, the middle numbers are 23.32 and 23.41. Because there are two, we add 23.32 and 23.41 and divide it by two. 23. 32 + 23.41 = 46.73 / 2 = 23.365. So approximately 23.37. Hope this helps!
They give us 2 pieces to the puzzle. Both are positive numbers...x and y.
1.) 1 number is 1 less than twice another number. (x = 2y -1)...and
2.) the sum of their squares is 106. (x^2 + y^2 = 106).
substitute the value for x into the second equation.
(2y-1)^2 + y^2 = 106
(2y-1) (2y-1) + y^2 = 106 (use distributive property)
4y^2 - 2y - 2y + 1 + y^2 = 106 (subtract 106 from both sides)
4y^2 - 2y - 2y + 1 + y^2 - 106 = 106 - 106 (combine like terms)
5y^2 - 4y - 105 = 0 (factor)
(y-5) (5y-21) = 0 (set to 0)
y - 5 = 0
y = 5
substitute the 5 into the equation for y (x = 2(5) - 1)
x = 9 if we square 9, we get 81.
subtracted from 106 we have 25...the square root of 25 is 5.
our answers are 5 and 9.
Step-by-step explanation:
sorry we're is the question
