Could someone pls solve for x for me I can mark as brainliest answer if you tell me how to
1 answer:
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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:
Step-by-step explanation:
y =
Find two points
When x = 0 , y = 0 + 2 = 2
D(0 , 2)
When x = 5;
E(5, 3)
Plot (0, 2 ) and (5 , 3) in the graph and join the points. This will be the line for the equation y =(1/5)x + 2
y = -x + 8
When x =4 , y = -4 + 8 = 4
A(4 , 4)
When x = 6 ; y = -6 + 8 = 2
B(6 , 2)
Plot (4,4) and (6, 2) in the graph and join the points. This will be the line for the equation y = - x + 8.
This lines will intersect at point (5,3) and that point will be the solution of the equation.
