Answer: See explanation
Step-by-step explanation:
Le the number be x and x+2
The information given can be formed into and equation as:
(x + 2)² = x² + 120
(x + 2)(x + 2) = x² + 120
x² + 2x + 2x + 4 = x² + 120
Collect like terms
x² - x² + 2x + 2x = 120 - 4
4x = 116
x = 116/4
x = 29
The smallest number is 29
The larger number is x + 2 = 29 + 2 = 31
Step-by-step explanation:
2x+9=9
+9. +9
2x = 18
x = 6
not really sure but I tried at least
31 and 15
31+15=46
31-15=16
Answer:
40/3, 172/3, respectively
Step-by-step explanation:
x + 9 = 2y
2x = 2y + 2
x + 9 = 2(2x - 2)
4x - 4 = x + 9
3x - 13 = 0
x = 13/3
y = 40/6
RT = 13/3 + 9 = 40/3
QS = 160/3 + 4 = 172/3
Answer:
x = 11.5, y = -5.5.
As an ordered pair this is (11.5, -5.5).
Step-by-step explanation:
2x+4y=1 Multiply this by 3:
3x+5y=7 Multiply this by -2.
6x + 12y = 3
-6x - 10y = -14 Adding these 2 equations:
0 + 2y = -11.
y = -11/2
y = -5.5.
Now plug this into the first equation:
2x + 4(-5.5) = 1
2x = 1 + 22
x = 23/2
x = 11.5.