Answer:
SUE: (18-x)-5
TONY: (18+x) / 
Sue has 18 sweets
Tony also has 18 sweets
Sue gives x sweets to Tony
Sue then eats 5 of her sweets
Tony then eats half of his sweets
(18-x)-5=(18+x)/ 1/2
x= -7.6
Black - 10/35 (2/7)
White - 20/35 (4/7)
Grey - 5/35 (1/7)
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:
-5/-4
Step-by-step explanation:
m=y2-y1/x2-x1
m=5-10/2-6
m=-5/-4