Answer:
360 miles
Step-by-step explanation:
let speed of plane be x
speed of wind be c
Also note D = RT, where
D is distance and R is rate and T is time
<u>For First Leg:</u>
we can write:
(x - c) * 2 = D
2x - 2c = D
<u>For Second Leg:</u>
we can write:
(x+c)*1.5 = D
1.5x + 1.5c = D
We can equate and write:
2x - 2c = 1.5x + 1.5c
0.5x = 3.5c
We know Speed of Wind, c, is 30, so we have:
0.5x = 3.5(30)
0.5x = 105
x = 105/0.5 = 210 [speed of airplane]
We know distance is
D = 2x - 2c
D = 2(210) - 2(30)
D = 420 - 60
D = 360 miles
The distance is 360 miles
Answer:
y = 4x - 6
Step-by-step explanation:
12x - 3y = 18 is in standard form. We need to convert it to slope-intercept form, which looks like y = mx + b, with m being the slope and b being the y-intercept.
We know that 12x has to do with our slope, and 18 is our y-intercept. We need to put those on the right side of the equation so that we can isolate y on the left side:
12x - 3y = 18
Subtract 12x from both sides.
-3y = -12x + 18
Now, we can divide both sides by -3 to get y by itself.
y = 4x - 6
And that looks like slope-intercept form (y = mx + b).
Hopefully this was helpful! If you have more questions, let me know. :)
This makes no sense could you rewrite it please
<span>Exponential notation is an easier way to write a number as a product of many factors. ... Any number (except 0) raised to the zero power is equal to 1. 1490 = 1.</span>
2x^2 + 16x + 34 = 0
x^2 + 8x + 17 = 0
x^2 + 8x + 16 = -17 + 16 = -1
(x + 4)^2 = -1
x + 4 = sqrt(-1) = ±i
x = -4 <span>±</span> i
