A) He wanted to create zero pairs on the left side of the equation to get a positive coefficient of x on the right side
(i) speed = distance / time
so time = distance / speed
here we have
time t = 1080/x hours
(ii) return flight time = 1080 / (x + 30) hours
(a) 1080/x - 1080/(x + 30) = 1/2
Multiplying through by the LCD 2x(x + 30) we get:-
1080*2(x + 30) - 2x*1080 = x(x+30)
2160x + 64800 - 2160x = x^2 + 30x
x^2 + 30x - 64800 = 0
(b) factoring; -64800 = 270 * -240 ans 270-240 = 30 so we have
(x + 270)(x - 240) = 0 so x = 240 ( we ignore the negative -270)
So the speed for outward journey is 240 km/hr
(c) time ffor outward flight = 1080 / 240 = 4 1/2 hours
(d) average speed for whole flight = distance / time
Time for outward journey = 4.5 hours and time for return journey = d / v
= 1080 / (240+30) = 4 hours
Therefore the average speed for whole journey = 2160 / 8.5 = 254.1 km/hr
The rate to convert yards to meters is
So, if you multiply both sides by 8, you get
To round the answer to the nearest tenth, we need to choose between 7.3 and 7.4. Since the hundreths digit is 1, which is less than 5, 7.3 is nearest to 7.3152 than 7.4, so the correct answer is 7.3
Answer:
A, (1, 3+1/2)
Step-by-step explanation:
Midpoint formula for reference: m= {(x1 + x2)/2, (y1 + y2)/2}
Plugging in the points we get: m= {(8 - 6)/2, (5 + 2)/2}
Now we simplify using PEMDAS. First step is parentheses.
m= {2/2, 7/2}
Simplifying again (and making 7/2 a mixed number), it becomes
m= {1, 3+1/2}
Hope this helps!
