Answer: 7 and 8
<u>Step-by-step explanation:</u>
Let x represent the first number, then x + 1 is the other number.
(x)² + (x + 1)² = 113
x² + x² + 2x + 1 = 113 <em>expanded (x + 1)²</em>
2x² + 2x + 1 = 113 <em>added like terms</em>
2x² + 2x - 112 = 0 <em>subtracted 113 from both sides</em>
x² + x - 56 = 0 <em> divided both sides by 2</em>
(x + 8) (x - 7) = 0 <em>factored polynomial</em>
x + 8 = 0 x - 7 = 0 <em>applied zero product property</em>
x = -8 x = 7 <em> solved for x</em>
↓
not valid since the restriction is that x > 0 <em>(a positive number)</em>
So, x = 7 and x + 1 = (7) + 1 = 8
Answer:
t=2.5 hours after the freight train leaves the station they will meet.
Step-by-step explanation:
30t = 50 (t - 1)
30t = 50t - 50
30t - 50t = -50
-20t = -50
t= -50/-20
Therefor, t=2.5 hours after the freight train leaves the station they will meet.
Answer:
y=-5/2x-18
Step-by-step explanation:
use the y=mx+b method
plug in -8 for "x" and 2 for "y" and plug in -5/2 for "m"
2=-5/2(-8)+b
multiply -5/2 and -8
2=20+b
subtract 20 on both sides
-18=b (b=ur y-intercept)
ik this dont make any sense but hope this helps
Answer:
its 53
Step-by-step explanation:
160 divided by 3 (the amount of feet in a yard) = 53
Answer:
4 hours
Step-by-step explanation:
220/ 55 = 4