PQ + QR + RS = 18
PQ = 2x - 6; QR = 1; RS = x - 4
2x - 6 + 1 + x - 4 = 18
3x - 9 = 18
3x = 27
x = 9
Answer: C. 9
Sum of the terms of the series is
Sn = n/2 ( a1+an )
we have n= 6 , a1= 17, an = 57
so Sn = 6/2 ( 17+57) = 3(74) = 222
Answer:
The equation of the line would be y = -5/2x - 1
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
5x + 2y = 12
2y = -5x + 12
y = -5/2x + 6
Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = -5/2(x + 2)
y - 4 = -5/2x - 5
y = -5/2x - 1
-- The trains start moving at the same time.
-- The space between them is initially 252.5 miles.
-- They reduce the distance between them at the rate of (124.7+253.5)=378.2mph.
-- It will take them (252.5 / 378.2) = 0.6676 hour to meet.
That's 40min 3.49sec .
-- After tooting and puffing toward each other for 8 minutes, they still have <em>32min 3.49sec</em> to go before they meet each other. We're all hoping that they're on different tracks.
A = 1/2 (l × w)
A = 1/2 (8 1/2 × 6)
A = 1/2 (17/2 ×12/2)
A = 1/2 (204/4)
A = 1/2 (51)
A = 25 1/2 OR 25.5 in
