Answer:
y = -3m + 7
Step-by-step explanation:
Given the two point:
We use Slope-Intercept Form to create the equation of the line that goes through the two points above
y =mx + b where m is the slope and b is the y-intercept
Step 1: find the slope of it
<=> m =
=> our equation: y = -3x + b (1)
Now, plug one of the points (either one!) together with m into (1), we have:
1 = -3*2+ b
<=> b = 7
Hence, the equation is: y = -3m + 7
Hope it will find you well.
Answer: Kim is 16 and Alan is 20
Kim => x
Alan => y
Kim is 4/5 as old as Alan =>
In four years, she will be 5/6 as old as he will be =>
Solving the system we obtain x=16 and y=20
Answer:181,250
Step-by-step explanation:
Basically, the cost would go up 5 percent, and you’re asking how much it would go up in 5 years. So 5x5=25, so you’d multiply 145,000 by 25%, which is 36,250. So, you’d add that to 145,000 which would get you 181,250.
0.373 seconds. First, calculate the initial vertical velocity of the shell. 800sin(30) = 800*0.5 = 400 m/s Now the formula for the distance traveled is d = 400 m/s * T + 0.5A T^2 Substituting known values gives. 150 = 400 m/s * T + 0.5*9.80m/s^2 T^2 150 = 400 m/s * T + 4.9 m/s^2 T^2 Arrange as a quadratic formula 0 = 400 m/s * T + 4.9 m/s^2 T^2 - 150 4.9 m/s^2 T^2 + 400 m/s * T - 150 = 0 Now solve for T using the quadratic formula with a=4.9, b=400, and c=-150 The calculated value is 0.373 seconds. Is this value reasonable? Let's check. The initial downward velocity is 400 m/s. So 150/400 = 0.375 seconds. Since the actual time will be a bit less due to acceleration by gravity and since the total time is so short, there won't be much acceleration due to gravity, the value of 0.373 is quite reasonable.