The equation of the line passing through the points and in slope intercept form is .
The equation of a line passing through two points and is , where represents the slope.
Take and as and respectively.
Put the values in the general equation,
Slope intercept form is , where is the slope and is the -intercept
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Answer:
Both Law of Sines and Cosines can be used to determine the angle Q.
Step-by-step explanation:.
Since from Law of Sines with one angle and three sides we can find other angles using the ratio obtained with the given angle and side length opposite side if angle P is not given we couldn't use this.
Law of Cosines can be used to find any angle of triangle with all three side lengths given and angle P is also not required to find angle Q.
Answer:
10.02
Step-by-step explanation:
Simplify 8/3c to 8c/3
8c/3 - 2 = 2/3 c - 12
Simplify 2/3 c to 2c/3
8c/3 - 2 = 2c/3 - 12
Multiply both sides by 3
8c - 6 = 2c - 36
Simplify 8c - 6 - 2c to 6c - 6
6c - 6 = -36
Add 6 to both sides
6c = -36 + 6
Simplify -36 + 6 to -30
6c = -30
Divide both sides by 6
c = -30/6
Simplify 30/6 to 5
<u>c = -5</u>
Trigonometry can be used to find angles and sides of simple triangles. If an 18-foot ladder touches a building 14 feet up the wall then the angle can be deduced by trigonometry. In this case, the ladder defines the hypotenuse (H) of the triangle and the wall defines the opposite (O) side of the triangle. Therefore we can use the equation theta=sin^-1(O/H) . This yields an angle of 51 degrees.