Answer:
A
Step-by-step explanation:
I did it in a on a piece of paper
Best to take this in two parts.
1, find the factors of 36:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6
2, Now, using those, add the factors and see which add up to 15... in this case, that would be 12 and 3!
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.
Answer:
10:4, 35:14, 55:22
Step-by-step explanation:
Answer:
-2.1
Step-by-step explanation:
-7.3 - 11.2 - 1.7 + 0 + 0 +2.2 + 3.3
--------------------------------------------------
7
= -2.1
