WILL MARK BRAINLIEST PLEASE HELP
2 answers:
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Answer:
<em>The angle between their paths when they started is 93°.</em>
Step-by-step explanation:
<u>The Law of Cosines</u>
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
When the two ships travel in different directions from the same point in the plane, they form an angle we called x in the image below.
Tyler's ship sails a=35 miles and Noah's ship sails for b=42 miles. At some time they are c=56 miles apart.
Since we know the values of all three side lengths, we solve the equation for x:
Substituting values:
Calculating:
Computing the inverse cosine:
The angle between their paths when they started is 93°.
Answer:
See Below
Step-by-step explanation:
It's a lot easier to get a linear equation in slope-intercept form (y = mx + b, where m and b are the line's slope and y-intercept, respectively) if you want to graph it, so let's do that here.
Rewriting the given equation gives us:
5x - y = 12
-y = -5x + 12
y = 5x - 12
We see here that m = 5 and b = -12, so the line has a slope of 5 and a y-intercept of (0, -12). Using this information, we can graph the line, as shown below. Hope this helps!
