Answer: y = -3x/7 + 26/7
Step-by-step explanation: Using the "slope-intercept" format, we can set up 2 equations, using the given points.
The format: y = mx + b, where m is the slope and b is the y-intercept (where x = 0)
To find m and b, we need 2 equations which we get using the 2 given points:
(-3,5):
5 = m(-3) + b (equation 1)
(4,2):
2 = m(4) + b (equation 2)
Subtract #2 from #1 to get:
3 = -7m
m = -3/7
Then, using equation 1, find b:
5 = (-3/7)*(-3) + b
b = 5 - 9/7 = 26/7
The equation is then:
y = -3x/7 + 26/7
Answer:
1920 yd³
Step-by-step explanation:
Answer:
2.8? maybe or 17/6
Step-by-step explanation:
Answer:
the third one/second one
Step-by-step explanation:
PART 1.
Going westward:
Distance: 2400 miles
Rate (this is speed): (450-wind_speed) mph
Time: distance / speed = 2400 / (450-wind speed)
Going eastward:
Distance: 2400 miles
Rate (this is speed): (450+wind_speed) mph
Time: distance / speed = 2400 / (450+wind speed)
PART 2
Formula for speed:
speed = distance / time
Now we solve this for time:
time = distance / speed
11h = 2400 / (450+-wind_speed)
+- sign is put because in one case wind increases speed of plane and in other case it decreases speed.
PART 3
To solve for wind_speed we start by rearranging formula so that we have wind_speed on left side:
(450+-wind_speed) = 2400 / 11
(450+-wind_speed) = 218mph
To fly this distance in 11h speed of plane must be 218mph.
The only way to get this solution is if we substract wind speed:
450-wind_speed = 218
wind_speed = 450-218 = 232mph
