Answer:
the answer is 256
Step-by-step explanation:
<h2>Mark Me Brainliest Please.</h2>
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
To factor a quadratic of the form ax^2+bx+c you need to find two values, j and k, that satisfy two conditions:
ac=jk and b=j+k in this case:
ac=jk=-18 and b=j+k=7 so j and k must be 9 and -2
Now replace bx with jx and kx in the original equation...
x^2-2x+9x-18 and factor the 1st and 2nd pair of terms...
x(x-2)+9(x-2) which is equal to
(x+9)(x-2)
Answer:
E = 3072i - 5904ohms
Step-by-step explanation:
From ohms law recalled that E = IR given already
E = voltage (volts)
I = Current (amps)
R = resistance (ohms)
Therefore, by substitution
I = 16i and R = (2+4)ohms(32+66i)
= 6(32+66i) ohms
= (192+396i)ohms
E = (16i)×(192+396i)
E = 3072i + 5904i²
Recall that i² = -1 from complex number
E = 3072i +5904(-1)
E = 3072i - 5904ohms
