Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
Answer:
UV = 14 ft and m∠TUV = 45°
ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Step-by-step explanation:
Answer: I think that the cost now from hotel 5 would be $15.00.
Step-by-step explanation:
5 hours = $5.00
10 hours = $10.00
15 hours = $15.00
20 hours = $20.00
25 hours = $25.00
4/5 because 8/10 is equal to 4/5 which is the simplest form<span />
Answer:
the slope is 1/2
Work:
if the x-coordinate is two times the y-coordinate, that means you are going up one over two each time
slope= y2-y1/x2-x1
so you can pick two points, like (2, 1) and (4,2) and use the formula
slope= 2-1/4-2= 1/2
