Answer:
769.46 miles
Step-by-step explanation:
Please have a look at the photo attached in this answer
The missing part of the angle is 32 degrees, so the total angle of B is:
32 + 73 = 105 degrees.
Let x is the distance from airport A to airport C to the nearest tenth of a mile, we use cosine law to find x:
=
- 2(570)(390)cos(105)
<=>
= 592070
<=> x =
= 769.46 miles
To solve this, you know that both values listed (4x - 3 and -3x + 4) are equal to y, so you know that they also must be equal to each other! Therefore you can form the following equation:
4x - 3 = -3x + 4
Now you can add -3x to both sides to combine like terms:
7x - 3 = 4
Now add 3 to both sides:
7x = 7
Now if you divide everything by seven, you see that x = 1. Now that we have out x value, we can go ahead and plug it into one of the equations. This gives us:
y = 4(1) - 3
If we multiply out, we get:
y = 4 - 3
y = 1
So y also equals 1! Now that we have our answers, we can simply put them into an ordered pair which should be in the form of (x value, y value.)
Our final answer will be (1, 1).
Hope this helps!
There is only one intercept at the origin - coordinates (0, 0).
6(x-4)+7=-5
6x-24+7=-5
6x=12
X=2